From 380e8ea36d7dcee263b986cedbb68e5da9891a44 Mon Sep 17 00:00:00 2001 From: Vivek Maurya Date: Sun, 9 Mar 2025 07:32:54 +0000 Subject: [PATCH 1/6] feat: add stats/base/dists/burr-type3/cdf --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: na - task: lint_package_json status: passed - task: lint_repl_help status: passed - task: lint_javascript_src status: passed - task: lint_javascript_cli status: na - task: lint_javascript_examples status: passed - task: lint_javascript_tests status: passed - task: lint_javascript_benchmarks status: passed - task: lint_python status: passed - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: passed - task: lint_typescript_tests status: passed - task: lint_license_headers status: passed --- --- .../burr-type3/cdf/benchmark/benchmark.js | 84 +++++++ .../cdf/benchmark/python/benchmark.scipy.py | 97 ++++++++ .../base/dists/burr-type3/cdf/docs/repl.txt | 81 +++++++ .../burr-type3/cdf/docs/types/index.d.ts | 130 +++++++++++ .../dists/burr-type3/cdf/docs/types/test.ts | 119 ++++++++++ .../dists/burr-type3/cdf/examples/index.js | 33 +++ .../base/dists/burr-type3/cdf/lib/factory.js | 79 +++++++ .../base/dists/burr-type3/cdf/lib/index.js | 61 +++++ .../base/dists/burr-type3/cdf/lib/main.js | 90 ++++++++ .../base/dists/burr-type3/cdf/package.json | 68 ++++++ .../test/fixtures/python/large_values.json | 1 + .../test/fixtures/python/medium_values.json | 1 + .../cdf/test/fixtures/python/runner.py | 91 ++++++++ .../test/fixtures/python/small_values.json | 1 + .../dists/burr-type3/cdf/test/test.cdf.js | 188 +++++++++++++++ .../dists/burr-type3/cdf/test/test.factory.js | 217 ++++++++++++++++++ .../base/dists/burr-type3/cdf/test/test.js | 38 +++ 17 files changed, 1379 insertions(+) create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/package.json create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/large_values.json create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/medium_values.json create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/runner.py create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/small_values.json create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.js diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js new file mode 100644 index 000000000000..82c617260b22 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js @@ -0,0 +1,84 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var cdf = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var alpha; + var beta; + var len; + var x; + var y; + var i; + + len = 100; + x = uniform( len, 0.0, 10.0 ); + alpha = uniform( len, 0.1, 100.0 ); + beta = uniform( len, 0.1, 100.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = cdf( x[ i % len ], alpha[ i % len ], beta[ i % len ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); + +bench( pkg+':factory', function benchmark( b ) { + var mycdf; + var len; + var x; + var y; + var i; + + len = 100; + x = uniform( len, 0.0, 10.0 ); + mycdf = cdf.factory( 5.0, 6.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = mycdf( x[ i % len ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py new file mode 100644 index 000000000000..6b728171e7c5 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py @@ -0,0 +1,97 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (c) 2018 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +"""Benchmark scipy.stats.burr.cdf.""" + +from __future__ import print_function +import timeit + +NAME = "burr:cdf" +REPEATS = 3 +ITERATIONS = 1000 + + +def print_version(): + """Print the TAP version.""" + print("TAP version 13") + + +def print_summary(total, passing): + """Print the benchmark summary. + + # Arguments + + * `total`: total number of tests + * `passing`: number of passing tests + + """ + print("#") + print("1.." + str(total)) # TAP plan + print("# total " + str(total)) + print("# pass " + str(passing)) + print("#") + print("# ok") + + +def print_results(elapsed): + """Print benchmark results. + + # Arguments + + * `elapsed`: elapsed time (in seconds) + + # Examples + + ``` python + python> print_results(0.131009101868) + ``` + """ + rate = ITERATIONS / elapsed + + print(" ---") + print(" iterations: " + str(ITERATIONS)) + print(" elapsed: " + str(elapsed)) + print(" rate: " + str(rate)) + print(" ...") + + +def benchmark(): + """Run the benchmark and print benchmark results.""" + setup = "from scipy.stats import burr; from random import random;" + stmt = "y = burr.cdf(random(), 100.56789, 55.54321)" + + t = timeit.Timer(stmt, setup=setup) + + print_version() + + for i in range(REPEATS): + print("# python::" + NAME) + elapsed = t.timeit(number=ITERATIONS) + print_results(elapsed) + print("ok " + str(i+1) + " benchmark finished") + + print_summary(REPEATS, REPEATS) + + +def main(): + """Run the benchmark.""" + benchmark() + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt new file mode 100644 index 000000000000..e2f41900b39d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt @@ -0,0 +1,81 @@ + +{{alias}}( x, α, β ) + Evaluates the cumulative distribution function (CDF) for a + Burr (type III) distribution with first shape parameter + `α` and second shape parameter `β` at a value `x`. + + If provided `NaN` as any argument, the function returns `NaN`. + + If `α <= 0` or `β <= 0` or `x <= 0`, the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + α: number + First shape parameter. + + β: number + Second shape parameter. + + Returns + ------- + out: number + Evaluated CDF. + + Examples + -------- + > var y = {{alias}}( 0.1, 1.0, 1.0 ) + ~0.09 + > y = {{alias}}( 0.2, 2.0, 2.0 ) + ~0.0015 + > y = {{alias}}( 0.8, 0.5, 0.5 ) + ~0.69 + > y = {{alias}}( 0.3, 0.5, 0.5 ) + ~0.59 + + > y = {{alias}}( -0.5, 4.0, 2.0 ) + NaN + > y = {{alias}}( 2.0, -1.0, 0.5 ) + NaN + > y = {{alias}}( 2.0, 0.5, -1.0 ) + NaN + + > y = {{alias}}( NaN, 1.0, 1.0 ) + NaN + > y = {{alias}}( 0.0, NaN, 1.0 ) + NaN + > y = {{alias}}( 0.0, 1.0, NaN ) + NaN + + +{{alias}}.factory( α, β ) + Returns a function for evaluating the cumulative distribution + function (CDF) of a Burr (type III) distribution with + first shape parameter `α` and second shape parameter `β`. + + Parameters + ---------- + α: number + First shape parameter. + + β: number + Second shape parameter. + + Returns + ------- + cdf: Function + Cumulative distribution function (CDF). + + Examples + -------- + > var mycdf = {{alias}}.factory( 0.5, 0.5 ); + > var y = mycdf( 0.8 ) + ~0.69 + > y = mycdf( 0.3 ) + ~0.59 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts new file mode 100644 index 000000000000..6c3d51299bfe --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts @@ -0,0 +1,130 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2019 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution. +* +* @param x - input value +* @returns evaluated CDF +*/ +type Unary = ( x: number ) => number; + +/** +* Interface for the cumulative distribution function (CDF) of a Burr (type III) distribution. +*/ +interface CDF { + /** + * Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `x`. + * + * ## Notes + * + * - If `alpha <= 0` or `beta <= 0` or `x <= 0`, the function returns `NaN`. + * + * @param x - input value + * @param alpha - first shape parameter + * @param beta - second shape parameter + * @returns evaluated CDF + * + * @example + * var y = cdf( 0.1, 1.0, 1.0 ); + * // returns ~0.09 + * + * @example + * var y = cdf( 0.2, 2.0, 2.0 ); + * // returns ~0.0015 + * + * @example + * var y = cdf( 0.4, 4.0, 4.0 ); + * // returns ~3.88e-7 + * + * @example + * var y = cdf( 1.0, 0.1, 1.0 ); + * // returns 0.5 + * + * @example + * var y = cdf( 2.0, -1.0, 0.5 ); + * // returns NaN + * + * @example + * var y = cdf( 2.0, 0.5, -1.0 ); + * // returns NaN + * + * @example + * var y = cdf( NaN, 1.0, 1.0 ); + * // returns NaN + * + * @example + * var y = cdf( 0.0, NaN, 1.0 ); + * // returns NaN + * + * @example + * var y = cdf( 0.0, 1.0, NaN ); + * // returns NaN + */ + ( x: number, alpha: number, beta: number ): number; + + /** + * Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`. + * + * @param alpha - first shape parameter + * @param beta - second shape parameter + * @returns CDF + * + * @example + * var myCDF = cdf.factory( 0.5, 0.5 ); + * + * var y = myCDF( 0.8 ); + * // returns ~0.69 + * + * y = myCDF( 0.3 ); + * // returns ~0.59 + */ + factory( alpha: number, beta: number ): Unary; +} + +/** +* Burr (type III) distribution cumulative distribution function (CDF). +* +* @param x - input value +* @param alpha - first shape parameter +* @param beta - second shape parameter +* @returns evaluated CDF +* +* @example +* var y = cdf( 0.5, 1.0, 1.0 ); +* // returns ~0.33 +* +* y = cdf( 0.5, 2.0, 4.0 ); +* // returns ~0.0015 +* +* var myCDF = cdf.factory( 0.5, 0.5 ); +* +* y = myCDF( 0.8 ); +* // returns ~0.69 +* +* y = myCDF( 0.3 ); +* // returns ~0.59 +*/ +declare var cdf: CDF; + + +// EXPORTS // + +export = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts new file mode 100644 index 000000000000..ffd2d59139de --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts @@ -0,0 +1,119 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2019 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import cdf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + cdf( 2, 2, 4 ); // $ExpectType number + cdf( 1, 2, 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided values other than three numbers... +{ + cdf( true, 3, 6 ); // $ExpectError + cdf( false, 2, 4 ); // $ExpectError + cdf( '5', 1, 2 ); // $ExpectError + cdf( [], 1, 2 ); // $ExpectError + cdf( {}, 2, 4 ); // $ExpectError + cdf( ( x: number ): number => x, 2, 4 ); // $ExpectError + + cdf( 9, true, 12 ); // $ExpectError + cdf( 9, false, 12 ); // $ExpectError + cdf( 5, '5', 10 ); // $ExpectError + cdf( 8, [], 16 ); // $ExpectError + cdf( 9, {}, 18 ); // $ExpectError + cdf( 8, ( x: number ): number => x, 16 ); // $ExpectError + + cdf( 9, 5, true ); // $ExpectError + cdf( 9, 5, false ); // $ExpectError + cdf( 5, 2, '5' ); // $ExpectError + cdf( 8, 4, [] ); // $ExpectError + cdf( 9, 4, {} ); // $ExpectError + cdf( 8, 5, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + cdf(); // $ExpectError + cdf( 2 ); // $ExpectError + cdf( 2, 0 ); // $ExpectError + cdf( 2, 0, 4, 1 ); // $ExpectError +} + +// Attached to main export is a `factory` method which returns a function... +{ + cdf.factory( 3, 4 ); // $ExpectType Unary +} + +// The `factory` method returns a function which returns a number... +{ + const fcn = cdf.factory( 3, 4 ); + fcn( 2 ); // $ExpectType number +} + +// The compiler throws an error if the function returned by the `factory` method is provided invalid arguments... +{ + const fcn = cdf.factory( 3, 4 ); + fcn( true ); // $ExpectError + fcn( false ); // $ExpectError + fcn( '5' ); // $ExpectError + fcn( [] ); // $ExpectError + fcn( {} ); // $ExpectError + fcn( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function returned by the `factory` method is provided an unsupported number of arguments... +{ + const fcn = cdf.factory( 3, 4 ); + fcn(); // $ExpectError + fcn( 2, 0 ); // $ExpectError + fcn( 2, 0, 1 ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided values other than two numbers... +{ + cdf.factory( true, 3 ); // $ExpectError + cdf.factory( false, 2 ); // $ExpectError + cdf.factory( '5', 1 ); // $ExpectError + cdf.factory( [], 1 ); // $ExpectError + cdf.factory( {}, 2 ); // $ExpectError + cdf.factory( ( x: number ): number => x, 2 ); // $ExpectError + + cdf.factory( 9, true ); // $ExpectError + cdf.factory( 9, false ); // $ExpectError + cdf.factory( 5, '5' ); // $ExpectError + cdf.factory( 8, [] ); // $ExpectError + cdf.factory( 9, {} ); // $ExpectError + cdf.factory( 8, ( x: number ): number => x ); // $ExpectError + + cdf.factory( [], true ); // $ExpectError + cdf.factory( {}, false ); // $ExpectError + cdf.factory( false, '5' ); // $ExpectError + cdf.factory( {}, [] ); // $ExpectError + cdf.factory( '5', ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided an unsupported number of arguments... +{ + cdf.factory( 0 ); // $ExpectError + cdf.factory( 0, 4, 8 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js new file mode 100644 index 000000000000..a36910e3d5f3 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js @@ -0,0 +1,33 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var linspace = require( '@stdlib/array/linspace' ); +var cdf = require( './../lib' ); + +var alpha = linspace( 1, 10.0, 10 ); +var beta = linspace( 1, 10.0, 10 ); +var x = linspace( 0.1, 1.0, 10 ); +var y; +var i; + +for ( i = 0; i < 10; i++ ) { + y = cdf( x[ i ], alpha[ i ], beta[ i ] ); + console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y ); +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js new file mode 100644 index 000000000000..d0d6971cda68 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js @@ -0,0 +1,79 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var constantFunction = require( '@stdlib/utils/constant-function' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); + + +// MAIN // + +/** +* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`. +* +* @param {PositiveNumber} alpha - first shape parameter +* @param {PositiveNumber} beta - second shape parameter +* @returns {Function} CDF +* +* @example +* var cdf = factory( 0.5, 0.5 ); +* +* var y = cdf( 0.8 ); +* // returns ~0.69 +* +* y = cdf( 0.3 ); +* // returns ~0.59 +*/ +function factory( alpha, beta ) { + if ( + isnan( alpha ) || + isnan( beta ) || + alpha <= 0.0 || + beta <= 0.0 + ) { + return constantFunction( NaN ); + } + return cdf; + + /** + * Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution. + * + * @private + * @param {number} x - input value + * @returns {Probability} evaluated CDF + * + * @example + * var y = cdf( 2.0 ); + * // returns + */ + function cdf( x ) { + if ( isnan( x ) || x <= 0.0 ) { + return NaN; + } + return pow( 1 + pow( x, -alpha ), -beta ); + } +} + + +// EXPORTS // + +module.exports = factory; diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js new file mode 100644 index 000000000000..febbbd12cd16 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js @@ -0,0 +1,61 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* Evaluate the cumulative distribution function (CDF) for a Burr (type III) distribution. +* +* @module @stdlib/stats/base/dists/burr-type3/cdf +* +* @example +* var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' ); +* +* var y = cdf( 0.5, 1.0, 1.0 ); +* // returns ~0.33 +* +* y = cdf( 0.5, 2.0, 4.0 ); +* // returns ~0.0016 +* +* @example +* var factory = require( '@stdlib/stats/base/dists/burr-type3/cdf' ).factory; +* +* var cdf = factory( 0.5, 0.5 ); +* +* var y = cdf( 0.8 ); +* // returns ~0.69 +* +* y = cdf( 0.3 ); +* // returns ~0.59 +*/ + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var main = require( './main.js' ); +var factory = require( './factory.js' ); + + +// MAIN // + +setReadOnly(main, 'factory', factory); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js new file mode 100644 index 000000000000..3de8ec30d75f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js @@ -0,0 +1,90 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var pow = require( '@stdlib/math/base/special/pow' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); + + +// MAIN // + +/** +* Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `x`. +* +* @param {number} x - input value +* @param {PositiveNumber} alpha - first shape parameter +* @param {PositiveNumber} beta - second shape parameter +* @returns {Probability} evaluated CDF +* +* @example +* var y = cdf( 0.1, 1.0, 1.0 ); +* // returns ~0.09 +* +* @example +* var y = cdf( 0.2, 2.0, 2.0 ); +* // returns ~0.0015 +* +* @example +* var y = cdf( 0.4, 4.0, 4.0 ); +* // returns ~3.88e-7 +* +* @example +* var y = cdf( 1.0, 0.1, 1.0 ); +* // returns 0.5 +* +* @example +* var y = cdf( 2.0, -1.0, 0.5 ); +* // returns NaN +* +* @example +* var y = cdf( 2.0, 0.5, -1.0 ); +* // returns NaN +* +* @example +* var y = cdf( NaN, 1.0, 1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 0.0, NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = cdf( 0.0, 1.0, NaN ); +* // returns NaN +*/ +function cdf( x, alpha, beta ) { + if ( + isnan( x ) || + isnan( alpha ) || + isnan( beta ) || + alpha <= 0.0 || + beta <= 0.0 || + x <= 0.0 + ) { + return NaN; + } + return pow( 1 + pow( x, -alpha ), -beta ); +} + + +// EXPORTS // + +module.exports = cdf; diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/package.json new file mode 100644 index 000000000000..bf0697738beb --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/package.json @@ -0,0 +1,68 @@ +{ + "name": "@stdlib/stats/base/dists/burr-type3/cdf", + "version": "0.0.0", + "description": "Burr (type III) distribution cumulative distribution function (CDF).", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "statistics", + "stats", + "distribution", + "dist", + "probability", + "prob", + "cdf", + "cumulative", + "cumulative distribution", + "distribution function", + "burr", + "univariate", + "continuous" + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/large_values.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/large_values.json new file mode 100644 index 000000000000..1fda206e25fd --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/fixtures/python/large_values.json @@ -0,0 +1 @@ +{"x": [0.01, 0.02, 0.03, 0.04, 0.05, 0.060000000000000005, 0.06999999999999999, 0.08, 0.09, 0.09999999999999999, 0.11, 0.12, 0.13, 0.14, 0.15000000000000002, 0.16, 0.17, 0.18000000000000002, 0.19, 0.2, 0.21000000000000002, 0.22, 0.23, 0.24000000000000002, 0.25, 0.26, 0.27, 0.28, 0.29000000000000004, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35000000000000003, 0.36000000000000004, 0.37, 0.38, 0.39, 0.4, 0.41000000000000003, 0.42000000000000004, 0.43, 0.44, 0.45, 0.46, 0.47000000000000003, 0.48000000000000004, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.5700000000000001, 0.5800000000000001, 0.59, 0.6, 0.61, 0.62, 0.63, 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compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.stats import burr + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(x, c, d, name): + """Generate fixture data and write to file. + + # Arguments + + * `x`: domain + * `c`: domain + * `d`: domain + * `name::str`: output filename + + # Examples + + ``` python + python> x = linspace(0, 1, 2001) + python> c = linspace(0.1, 1000, 2001) + python> d = linspace(0.1, 1000, 2001) + python> gen(x, c, d, './data.json') + ``` + """ + y = burr.cdf(x, c, d) + + # Store data to be written to file as a dictionary: + data = { + "x": x.tolist(), + "c": c.tolist(), + "d": d.tolist(), + "expected": y.tolist() + } + + # Based on the script directory, create an output filepath: + filepath = os.path.join(DIR, name) + + # Write the data to the output filepath as JSON: + with open(filepath, "w", encoding="utf-8") as outfile: + json.dump(data, outfile) + + +def main(): + """Generate fixture data.""" + x = np.linspace(0.01, 10, 1000) + + # Small shape parameter: + c = np.linspace(0.1, 1, 1000) + d = np.linspace(0.1, 1, 1000) + gen(x, c, d, "small_values.json") + + # Medium shape parameter: + c = np.linspace(1, 10, 1000) + d = np.linspace(1, 10, 1000) + gen(x, c, d, "medium_values.json") + + # Large shape parameter: + c = np.linspace(10, 100, 1000) + d = np.linspace(10, 100, 1000) + gen(x, c, d, "large_values.json") + + +if __name__ == "__main__": + main() diff --git 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a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js new file mode 100644 index 000000000000..d3e15f68881a --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js @@ -0,0 +1,188 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var cdf = require( './../lib' ); + + +// FIXTURES // + +var small = require( './fixtures/python/small_values.json' ); +var medium = require( './fixtures/python/medium_values.json' ); +var large = require( './fixtures/python/large_values.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cdf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) { + var y; + + y = cdf( NaN, 1.0, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0, NaN, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0, 1.0, NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `c <= 0`, the function returns `NaN`', function test( t ) { + var y; + + y = cdf( 0.0, 0.0, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.5, -1.0, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 1.0, NINF, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `d <= 0`, the function returns `NaN`', function test( t ) { + var y; + + y = cdf( 0.0, 1.0, 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.5, 1.0, -1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 1.0, 1.0, NINF ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a number less than or equal to zero for `x` and with finite `c` and finite `d`, the function returns `NaN`', function test( t ) { + var y; + + y = cdf( NINF, 0.5, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( -100.0, 0.5, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( -1.0, 0.5, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0, 0.5, 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given small parameters `c` and `d`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var c; + var d; + var y; + var i; + + expected = small.expected; + x = small.x; + c = small.c; + d = small.d; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], c[i], d[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+'. d:'+d[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given medium parameters `c` and `d`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var c; + var d; + var y; + var i; + + expected = medium.expected; + x = medium.x; + c = medium.c; + d = medium.d; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], c[i], d[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+'. d:'+d[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 5 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the cdf for `x` given large parameters `c` and `d`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var c; + var d; + var y; + var i; + + expected = large.expected; + x = large.x; + c = large.c; + d = large.d; + for ( i = 0; i < x.length; i++ ) { + y = cdf( x[i], c[i], d[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 12 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js new file mode 100644 index 000000000000..c7d2f7d20eaf --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js @@ -0,0 +1,217 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var factory = require( './../lib/factory.js' ); + + +// FIXTURES // + +var small = require( './fixtures/python/small_values.json' ); +var medium = require( './fixtures/python/medium_values.json' ); +var large = require( './fixtures/python/large_values.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof factory, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function returns a function', function test( t ) { + var cdf = factory( 1.0, 1.0 ); + t.equal( typeof cdf, 'function', 'returns a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) { + var cdf; + var y; + + cdf = factory( 1.0, 1.0 ); + y = cdf( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + cdf = factory( NaN, 1.0 ); + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + cdf = factory( 1.0, NaN ); + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + cdf = factory( NaN, NaN ); + y = cdf( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `c <= 0`, the created function always returns `NaN`', function test( t ) { + var cdf; + var y; + + cdf = factory( -1.0, 1.0 ); + y = cdf( 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `d <= 0`, the created function always returns `NaN`', function test( t ) { + var cdf; + var y; + + cdf = factory( 1.0, -1.0 ); + y = cdf( 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a finite `c` and `d`, the function returns a function which returns `NaN` when provided a number smaller than or equal to zero for `x`', function test( t ) { + var cdf; + var y; + + cdf = factory( 0.5, 1.0 ); + y = cdf( NINF ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( -100.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( -10.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( -1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = cdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the created function evaluates the cdf for `x` given small `c` and `d`', function test( t ) { + var expected; + var delta; + var cdf; + var tol; + var c; + var d; + var i; + var x; + var y; + + expected = small.expected; + x = small.x; + c = small.c; + d = small.d; + for ( i = 0; i < x.length; i++ ) { + cdf = factory( c[i], d[i] ); + y = cdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the cdf for `x` given a medium `c`', function test( t ) { + var expected; + var delta; + var cdf; + var tol; + var c; + var d; + var i; + var x; + var y; + + expected = medium.expected; + x = medium.x; + c = medium.c; + d = medium.d; + for ( i = 0; i < x.length; i++ ) { + cdf = factory( c[i], d[i] ); + y = cdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 5 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the cdf for `x` given a large `c`', function test( t ) { + var expected; + var delta; + var cdf; + var tol; + var c; + var d; + var i; + var x; + var y; + + expected = large.expected; + x = large.x; + c = large.c; + d = large.d; + for ( i = 0; i < x.length; i++ ) { + cdf = factory( c[i], d[i] ); + y = cdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 12 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.js new file mode 100644 index 000000000000..cef508494ff6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.js @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var cdf = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof cdf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is a factory method for generating `cdf` functions', function test( t ) { + t.equal( typeof cdf.factory, 'function', 'exports a factory method' ); + t.end(); +}); From aea9bc8c0443b893006491703a4abfb6e1477b4e Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Sun, 9 Mar 2025 07:45:48 +0000 Subject: [PATCH 2/6] chore: update copyright years --- .../stats/base/dists/burr-type3/cdf/benchmark/benchmark.js | 2 +- .../dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py | 2 +- .../stats/base/dists/burr-type3/cdf/docs/types/index.d.ts | 2 +- .../@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts | 2 +- .../@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js | 2 +- .../@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js | 2 +- .../@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js | 2 +- .../@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js | 2 +- 8 files changed, 8 insertions(+), 8 deletions(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js index 82c617260b22..9b0a0ca94cf3 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py index 6b728171e7c5..0c062df3f0d4 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/python/benchmark.scipy.py @@ -2,7 +2,7 @@ # # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# Copyright (c) 2025 The Stdlib Authors. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts index 6c3d51299bfe..c3077e653074 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts index ffd2d59139de..e6f99e71fccc 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/test.ts @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js index a36910e3d5f3..b2b27c3ee75f 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js index d0d6971cda68..c83e206c9106 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js index febbbd12cd16..7ae32b8df6c5 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/index.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js index 3de8ec30d75f..7bb6bb187890 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. From bd1e67c1f3497b91003296643e903460121583bf Mon Sep 17 00:00:00 2001 From: Vivek Maurya Date: Sun, 16 Mar 2025 05:31:04 +0000 Subject: [PATCH 3/6] feat: add stats/base/dists/burr-type3/cdf --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: passed - task: lint_package_json status: na - task: lint_repl_help status: na - task: lint_javascript_src status: na - task: lint_javascript_cli status: na - task: lint_javascript_examples status: passed - task: lint_javascript_tests status: passed - task: lint_javascript_benchmarks status: na - task: lint_python status: na - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: na - task: lint_typescript_tests status: na - task: lint_license_headers status: passed --- --- .../stats/base/dists/burr-type3/cdf/README.md | 183 ++++++++++++++++++ .../dists/burr-type3/cdf/examples/index.js | 2 +- .../dists/burr-type3/cdf/test/test.cdf.js | 6 +- .../dists/burr-type3/cdf/test/test.factory.js | 10 +- 4 files changed, 192 insertions(+), 9 deletions(-) create mode 100644 lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md new file mode 100644 index 000000000000..5fd9814f8d46 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md @@ -0,0 +1,183 @@ + + +# Cumulative Distribution Function + +> [Burr (type III)][burr-distribution] distribution [cumulative distribution function][cdf]. + +
+ +The [cumulative distribution function][cdf] for a [Burr (type III)][burr-distribution] random variable is + + + +```math +F(x; alpha, beta) = (1 + x^{-alpha})^{-beta} +``` + + + + + +where `alpha > 0` is the first shape parameter and `beta > 0` is the second shape parameter. + +
+ + + +
+ +## Usage + +```javascript +var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' ); +``` + +#### cdf( x, alpha, beta ) + +Evaluates the [cumulative distribution function][cdf] (CDF) for a [Burr (type III)][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter). + +```javascript +var y = cdf( 0.1, 1.0, 1.0 ); +// returns ~0.09 + +y = cdf( 0.2, 2.0, 2.0 ); +// returns ~0.0015 + +y = cdf( 0.4, 4.0, 4.0 ); +// returns ~3.88e-7 + +y = cdf( 1.0, 0.1, 1.0 ); +// returns 0.5 + +y = cdf( 0.3, 0.5, 0.5 ); +// returns ~0.59 + +y = cdf( 0.5, 1.0, 1.0 ); +// returns ~0.33 + +y = cdf( 0.5, 2.0, 4.0 ); +// returns ~0.0016 + +y = cdf( 0.8, 0.5, 0.5 ); +// returns ~0.69 +``` + +If provided `NaN` as any argument, the function returns `NaN`. + +```javascript +var y = cdf( NaN, 1.0, 1.0 ); +// returns NaN + +y = cdf( 0.0, NaN, 1.0 ); +// returns NaN + +y = cdf( 0.0, 1.0, NaN ); +// returns NaN +``` + +If provided `alpha <= 0`, the function returns `NaN`. + +```javascript +var y = cdf( 2.0, -1.0, 0.5 ); +// returns NaN + +y = cdf( 2.0, 0.0, 0.5 ); +// returns NaN +``` + +If provided `beta <= 0`, the function returns `NaN`. + +```javascript +var y = cdf( 2.0, 0.5, -1.0 ); +// returns NaN + +y = cdf( 2.0, 0.5, 0.0 ); +// returns NaN +``` + +#### cdf.factory( alpha, beta ) + +Returns a function for evaluating the [cumulative distribution function][cdf] for a [Burr (type III)][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter). + +```javascript +var mycdf = cdf.factory( 0.5, 0.5 ); + +var y = mycdf( 0.8 ); +// returns ~0.69 + +y = mycdf( 0.3 ); +// returns ~0.59 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' ); +var linspace = require( '@stdlib/array/linspace' ); + +var alpha = linspace( 1, 10.0, 10 ); +var beta = linspace( 1, 10.0, 10 ); +var x = linspace( 0.1, 1.0, 10 ); +var y; +var i; + +for ( i = 0; i < 10; i++ ) { + y = cdf( x[ i ], alpha[ i ], beta[ i ] ); + console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[burr-distribution]: https://en.wikipedia.org/wiki/Burr_distribution + +[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function + +
+ + diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js index a36910e3d5f3..4972e047a453 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js @@ -29,5 +29,5 @@ var i; for ( i = 0; i < 10; i++ ) { y = cdf( x[ i ], alpha[ i ], beta[ i ] ); - console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y ); + console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js index d3e15f68881a..9afb54e2ffd5 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.cdf.js @@ -126,7 +126,7 @@ tape( 'the function evaluates the cdf for `x` given small parameters `c` and `d` t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+'. d:'+d[i]+', y: '+y+', expected: '+expected[i] ); } else { delta = abs( y - expected[ i ] ); - tol = 2 * EPS * abs( expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -153,7 +153,7 @@ tape( 'the function evaluates the cdf for `x` given medium parameters `c` and `d t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+'. d:'+d[i]+', y: '+y+', expected: '+expected[i] ); } else { delta = abs( y - expected[ i ] ); - tol = 5 * EPS * abs( expected[ i ] ); + tol = 5.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -180,7 +180,7 @@ tape( 'the function evaluates the cdf for `x` given large parameters `c` and `d` t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); } else { delta = abs( y - expected[ i ] ); - tol = 12 * EPS * abs( expected[ i ] ); + tol = 12.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js index c7d2f7d20eaf..1b45bcfb4e6a 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/test/test.factory.js @@ -129,7 +129,7 @@ tape( 'if provided a finite `c` and `d`, the function returns a function which r t.end(); }); -tape( 'the created function evaluates the cdf for `x` given small `c` and `d`', function test( t ) { +tape( 'the created function evaluates the cdf for `x` given small parameters `c` and `d`', function test( t ) { var expected; var delta; var cdf; @@ -158,7 +158,7 @@ tape( 'the created function evaluates the cdf for `x` given small `c` and `d`', t.end(); }); -tape( 'the created function evaluates the cdf for `x` given a medium `c`', function test( t ) { +tape( 'the created function evaluates the cdf for `x` given medium parameters `c` and `d`', function test( t ) { var expected; var delta; var cdf; @@ -180,14 +180,14 @@ tape( 'the created function evaluates the cdf for `x` given a medium `c`', funct t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); } else { delta = abs( y - expected[ i ] ); - tol = 5 * EPS * abs( expected[ i ] ); + tol = 5.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } t.end(); }); -tape( 'the created function evaluates the cdf for `x` given a large `c`', function test( t ) { +tape( 'the created function evaluates the cdf for `x` given large parameters `c` and `d`', function test( t ) { var expected; var delta; var cdf; @@ -209,7 +209,7 @@ tape( 'the created function evaluates the cdf for `x` given a large `c`', functi t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] ); } else { delta = abs( y - expected[ i ] ); - tol = 12 * EPS * abs( expected[ i ] ); + tol = 12.0 * EPS * abs( expected[ i ] ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); } } From 6fce82fff76005a8974acf3d214e88f6b9288ada Mon Sep 17 00:00:00 2001 From: Vivek Maurya Date: Sun, 16 Mar 2025 05:36:48 +0000 Subject: [PATCH 4/6] feat: add stats/base/dists/burr-type3/cdf --- .../@stdlib/stats/base/dists/burr-type3/cdf/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md index 5fd9814f8d46..6eba5cac04f0 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md @@ -2,7 +2,7 @@ @license Apache-2.0 -Copyright (c) 2018 The Stdlib Authors. +Copyright (c) 2025 The Stdlib Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. From 43fcdf59aed2420aa37555fcfc98e21576ec1073 Mon Sep 17 00:00:00 2001 From: Philipp Burckhardt Date: Tue, 29 Apr 2025 20:16:24 -0400 Subject: [PATCH 5/6] docs: use available width of 80 chars Signed-off-by: Philipp Burckhardt --- .../stats/base/dists/burr-type3/cdf/docs/repl.txt | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt index e2f41900b39d..86fe548e4307 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt @@ -1,8 +1,8 @@ {{alias}}( x, α, β ) - Evaluates the cumulative distribution function (CDF) for a - Burr (type III) distribution with first shape parameter - `α` and second shape parameter `β` at a value `x`. + Evaluates the cumulative distribution function (CDF) for a Burr (type III) + distribution with first shape parameter `α` and second shape parameter `β` + at a value `x`. If provided `NaN` as any argument, the function returns `NaN`. @@ -51,9 +51,9 @@ {{alias}}.factory( α, β ) - Returns a function for evaluating the cumulative distribution - function (CDF) of a Burr (type III) distribution with - first shape parameter `α` and second shape parameter `β`. + Returns a function for evaluating the cumulative distribution function (CDF) + of a Burr (type III) distribution with first shape parameter `α` and second + shape parameter `β`. Parameters ---------- From 4ffa76177b35b3cb48ebb90de7732550be7351ee Mon Sep 17 00:00:00 2001 From: Vivek Maurya Date: Wed, 7 May 2025 12:57:39 +0000 Subject: [PATCH 6/6] refactor: changed variables from alpha beta to c and d --- .../stats/base/dists/burr-type3/cdf/README.md | 24 +++++++++---------- .../burr-type3/cdf/benchmark/benchmark.js | 10 ++++---- .../base/dists/burr-type3/cdf/docs/repl.txt | 24 +++++++++---------- .../burr-type3/cdf/docs/types/index.d.ts | 22 ++++++++--------- .../dists/burr-type3/cdf/examples/index.js | 8 +++---- .../base/dists/burr-type3/cdf/lib/factory.js | 18 +++++++------- .../base/dists/burr-type3/cdf/lib/main.js | 18 +++++++------- 7 files changed, 62 insertions(+), 62 deletions(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md index 6eba5cac04f0..6f68512ff1b0 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md @@ -31,7 +31,7 @@ raw="F(x; c, d) = (1 + x^{-c})^{-d}" alt="Cumulative distribution function for a Burr (Type III) distribution."> --> ```math -F(x; alpha, beta) = (1 + x^{-alpha})^{-beta} +F(x; c, d) = (1 + x^{-c})^{-d} ``` -where `alpha > 0` is the first shape parameter and `beta > 0` is the second shape parameter. +where `c > 0` is the first shape parameter and `d > 0` is the second shape parameter. @@ -55,9 +55,9 @@ where `alpha > 0` is the first shape parameter and `beta > 0` is the second shap var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' ); ``` -#### cdf( x, alpha, beta ) +#### cdf( x, c, d ) -Evaluates the [cumulative distribution function][cdf] (CDF) for a [Burr (type III)][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter). +Evaluates the [cumulative distribution function][cdf] (CDF) for a [Burr (type III)][burr-distribution] distribution with parameters `c` (first shape parameter) and `d` (second shape parameter). ```javascript var y = cdf( 0.1, 1.0, 1.0 ); @@ -98,7 +98,7 @@ y = cdf( 0.0, 1.0, NaN ); // returns NaN ``` -If provided `alpha <= 0`, the function returns `NaN`. +If provided `c <= 0`, the function returns `NaN`. ```javascript var y = cdf( 2.0, -1.0, 0.5 ); @@ -108,7 +108,7 @@ y = cdf( 2.0, 0.0, 0.5 ); // returns NaN ``` -If provided `beta <= 0`, the function returns `NaN`. +If provided `d <= 0`, the function returns `NaN`. ```javascript var y = cdf( 2.0, 0.5, -1.0 ); @@ -118,9 +118,9 @@ y = cdf( 2.0, 0.5, 0.0 ); // returns NaN ``` -#### cdf.factory( alpha, beta ) +#### cdf.factory( c, d ) -Returns a function for evaluating the [cumulative distribution function][cdf] for a [Burr (type III)][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter). +Returns a function for evaluating the [cumulative distribution function][cdf] for a [Burr (type III)][burr-distribution] distribution with parameters `c` (first shape parameter) and `d` (second shape parameter). ```javascript var mycdf = cdf.factory( 0.5, 0.5 ); @@ -146,15 +146,15 @@ y = mycdf( 0.3 ); var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' ); var linspace = require( '@stdlib/array/linspace' ); -var alpha = linspace( 1, 10.0, 10 ); -var beta = linspace( 1, 10.0, 10 ); +var c = linspace( 1, 10.0, 10 ); +var d = linspace( 1, 10.0, 10 ); var x = linspace( 0.1, 1.0, 10 ); var y; var i; for ( i = 0; i < 10; i++ ) { - y = cdf( x[ i ], alpha[ i ], beta[ i ] ); - console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) ); + y = cdf( x[ i ], c[ i ], d[ i ] ); + console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), c[i].toFixed( 4 ), d[i].toFixed( 4 ), y.toFixed( 4 ) ); } ``` diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js index 9b0a0ca94cf3..777b966d54d2 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js @@ -30,21 +30,21 @@ var cdf = require( './../lib' ); // MAIN // bench( pkg, function benchmark( b ) { - var alpha; - var beta; var len; + var c; + var d; var x; var y; var i; len = 100; x = uniform( len, 0.0, 10.0 ); - alpha = uniform( len, 0.1, 100.0 ); - beta = uniform( len, 0.1, 100.0 ); + c = uniform( len, 0.1, 100.0 ); + d = uniform( len, 0.1, 100.0 ); b.tic(); for ( i = 0; i < b.iterations; i++ ) { - y = cdf( x[ i % len ], alpha[ i % len ], beta[ i % len ] ); + y = cdf( x[ i % len ], c[ i % len ], d[ i % len ] ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt index 86fe548e4307..484758b73855 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt @@ -1,22 +1,22 @@ -{{alias}}( x, α, β ) - Evaluates the cumulative distribution function (CDF) for a Burr (type III) - distribution with first shape parameter `α` and second shape parameter `β` +{{alias}}( x, c, d ) + Evaluates the cumulative distribution function (CDF) for a Burr (type III) + distribution with first shape parameter `c` and second shape parameter `d` at a value `x`. If provided `NaN` as any argument, the function returns `NaN`. - If `α <= 0` or `β <= 0` or `x <= 0`, the function returns `NaN`. + If `c <= 0` or `d <= 0` or `x <= 0`, the function returns `NaN`. Parameters ---------- x: number Input value. - α: number + c: number First shape parameter. - β: number + d: number Second shape parameter. Returns @@ -50,17 +50,17 @@ NaN -{{alias}}.factory( α, β ) - Returns a function for evaluating the cumulative distribution function (CDF) - of a Burr (type III) distribution with first shape parameter `α` and second - shape parameter `β`. +{{alias}}.factory( c, d ) + Returns a function for evaluating the cumulative distribution function (CDF) + of a Burr (type III) distribution with first shape parameter `c` and second + shape parameter `d`. Parameters ---------- - α: number + c: number First shape parameter. - β: number + d: number Second shape parameter. Returns diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts index c3077e653074..8b0317522c2c 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts @@ -31,15 +31,15 @@ type Unary = ( x: number ) => number; */ interface CDF { /** - * Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `x`. + * Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d` at a value `x`. * * ## Notes * - * - If `alpha <= 0` or `beta <= 0` or `x <= 0`, the function returns `NaN`. + * - If `c <= 0` or `d <= 0` or `x <= 0`, the function returns `NaN`. * * @param x - input value - * @param alpha - first shape parameter - * @param beta - second shape parameter + * @param c - first shape parameter + * @param d - second shape parameter * @returns evaluated CDF * * @example @@ -78,13 +78,13 @@ interface CDF { * var y = cdf( 0.0, 1.0, NaN ); * // returns NaN */ - ( x: number, alpha: number, beta: number ): number; + ( x: number, c: number, d: number ): number; /** - * Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`. + * Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`. * - * @param alpha - first shape parameter - * @param beta - second shape parameter + * @param c - first shape parameter + * @param d - second shape parameter * @returns CDF * * @example @@ -96,15 +96,15 @@ interface CDF { * y = myCDF( 0.3 ); * // returns ~0.59 */ - factory( alpha: number, beta: number ): Unary; + factory( c: number, d: number ): Unary; } /** * Burr (type III) distribution cumulative distribution function (CDF). * * @param x - input value -* @param alpha - first shape parameter -* @param beta - second shape parameter +* @param c - first shape parameter +* @param d - second shape parameter * @returns evaluated CDF * * @example diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js index 641f7ce2e826..e6591ef0152e 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js @@ -21,13 +21,13 @@ var linspace = require( '@stdlib/array/linspace' ); var cdf = require( './../lib' ); -var alpha = linspace( 1, 10.0, 10 ); -var beta = linspace( 1, 10.0, 10 ); +var c = linspace( 1, 10.0, 10 ); +var d = linspace( 1, 10.0, 10 ); var x = linspace( 0.1, 1.0, 10 ); var y; var i; for ( i = 0; i < 10; i++ ) { - y = cdf( x[ i ], alpha[ i ], beta[ i ] ); - console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) ); + y = cdf( x[ i ], c[ i ], d[ i ] ); + console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), c[i].toFixed( 4 ), d[i].toFixed( 4 ), y.toFixed( 4 ) ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js index c83e206c9106..520d9ace00f7 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js @@ -28,10 +28,10 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); // MAIN // /** -* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`. +* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`. * -* @param {PositiveNumber} alpha - first shape parameter -* @param {PositiveNumber} beta - second shape parameter +* @param {PositiveNumber} c - first shape parameter +* @param {PositiveNumber} d - second shape parameter * @returns {Function} CDF * * @example @@ -43,12 +43,12 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); * y = cdf( 0.3 ); * // returns ~0.59 */ -function factory( alpha, beta ) { +function factory( c, d ) { if ( - isnan( alpha ) || - isnan( beta ) || - alpha <= 0.0 || - beta <= 0.0 + isnan( c ) || + isnan( d ) || + c <= 0.0 || + d <= 0.0 ) { return constantFunction( NaN ); } @@ -69,7 +69,7 @@ function factory( alpha, beta ) { if ( isnan( x ) || x <= 0.0 ) { return NaN; } - return pow( 1 + pow( x, -alpha ), -beta ); + return pow( 1 + pow( x, -c ), -d ); } } diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js index 7bb6bb187890..b3d2b08236d0 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js @@ -27,11 +27,11 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); // MAIN // /** -* Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `x`. +* Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d` at a value `x`. * * @param {number} x - input value -* @param {PositiveNumber} alpha - first shape parameter -* @param {PositiveNumber} beta - second shape parameter +* @param {PositiveNumber} c - first shape parameter +* @param {PositiveNumber} d - second shape parameter * @returns {Probability} evaluated CDF * * @example @@ -70,18 +70,18 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); * var y = cdf( 0.0, 1.0, NaN ); * // returns NaN */ -function cdf( x, alpha, beta ) { +function cdf( x, c, d ) { if ( isnan( x ) || - isnan( alpha ) || - isnan( beta ) || - alpha <= 0.0 || - beta <= 0.0 || + isnan( c ) || + isnan( d ) || + c <= 0.0 || + d <= 0.0 || x <= 0.0 ) { return NaN; } - return pow( 1 + pow( x, -alpha ), -beta ); + return pow( 1 + pow( x, -c ), -d ); }