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Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"},"license":"Apache-2.0","homepage":"https://stdlib.io","keywords":["stdlib","stdmath","statistics","stats","distribution","dist","object","class","constructor","ctor","probability","prob","normal","gaussian","cdf","pdf","quantile","properties","props","univariate","continuous"],"repository":{"type":"git","url":"git://github.com/stdlib-js/stats-base-dists-normal-ctor.git"},"description":"Normal distribution constructor.","contributors":[{"name":"The Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"}],"maintainers":[{"name":"stdlib-bot","email":"kgryte+stdlibbot@gmail.com"},{"name":"kgryte","email":"kgryte@gmail.com"},{"name":"planeshifter","email":"pgb@andrew.cmu.edu"},{"name":"rreusser","email":"rsreusser@gmail.com"}],"readme":"<!--\n\n@license Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n-->\n\n\n<details>\n  <summary>\n    About stdlib...\n  </summary>\n  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>\n  <p>The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.</p>\n  <p>When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.</p>\n  <p>To join us in bringing numerical computing to the web, get started by checking us out on <a href=\"https://github.com/stdlib-js/stdlib\">GitHub</a>, and please consider <a href=\"https://opencollective.com/stdlib\">financially supporting stdlib</a>. We greatly appreciate your continued support!</p>\n</details>\n\n# Normal\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->\n\n> Normal distribution constructor.\n\n<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->\n\n<section class=\"intro\">\n\n</section>\n\n<!-- /.intro -->\n\n<!-- Package usage documentation. -->\n\n<section class=\"installation\">\n\n## Installation\n\n```bash\nnpm install @stdlib/stats-base-dists-normal-ctor\n```\n\n</section>\n\n<section class=\"usage\">\n\n## Usage\n\n```javascript\nvar Normal = require( '@stdlib/stats-base-dists-normal-ctor' );\n```\n\n#### Normal( \\[mu, sigma] )\n\nReturns a [normal][normal-distribution] distribution object.\n\n```javascript\nvar normal = new Normal();\n\nvar mu = normal.mean;\n// returns 0.0\n```\n\nBy default, `mu = 0.0` and `sigma = 1.0`. To create a distribution having a different `mu` (mean parameter) and `sigma` (standard deviation), provide the corresponding arguments.\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar mu = normal.mean;\n// returns 2.0\n```\n\n* * *\n\n## normal\n\nA [normal][normal-distribution] distribution object has the following properties and methods...\n\n### Writable Properties\n\n#### normal.mu\n\nMean parameter of the distribution.\n\n```javascript\nvar normal = new Normal();\n\nvar mu = normal.mu;\n// returns 0.0\n\nnormal.mu = 3.0;\n\nmu = normal.mu;\n// returns 3.0\n```\n\n#### normal.sigma\n\nStandard deviation of the distribution. `sigma` **must** be a positive number.\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar sigma = normal.sigma;\n// returns 4.0\n\nnormal.sigma = 3.0;\n\nsigma = normal.sigma;\n// returns 3.0\n```\n\n* * *\n\n### Computed Properties\n\n#### Normal.prototype.entropy\n\nReturns the [differential entropy][entropy].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar entropy = normal.entropy;\n// returns ~3.904\n```\n\n#### Normal.prototype.kurtosis\n\nReturns the [excess kurtosis][kurtosis].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar kurtosis = normal.kurtosis;\n// returns 0.0\n```\n\n#### Normal.prototype.mean\n\nReturns the [expected value][expected-value].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar mu = normal.mean;\n// returns 4.0\n```\n\n#### Normal.prototype.median\n\nReturns the [median][median].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar median = normal.median;\n// returns 4.0\n```\n\n#### Normal.prototype.mode\n\nReturns the [mode][mode].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar mode = normal.mode;\n// returns 4.0\n```\n\n#### Normal.prototype.skewness\n\nReturns the [skewness][skewness].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar skewness = normal.skewness;\n// returns 0.0\n```\n\n#### Normal.prototype.stdev\n\nReturns the [standard deviation][standard-deviation].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar s = normal.stdev;\n// returns 12.0\n```\n\n#### Normal.prototype.variance\n\nReturns the [variance][variance].\n\n```javascript\nvar normal = new Normal( 4.0, 12.0 );\n\nvar s2 = normal.variance;\n// returns 144.0\n```\n\n* * *\n\n### Methods\n\n#### Normal.prototype.cdf( x )\n\nEvaluates the [cumulative distribution function][cdf] (CDF).\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar y = normal.cdf( 0.5 );\n// returns ~0.354\n```\n\n#### Normal.prototype.logcdf( x )\n\nEvaluates the natural logarithm of the [cumulative distribution function][cdf] (CDF).\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar y = normal.logcdf( 0.5 );\n// returns ~-1.039\n```\n\n#### Normal.prototype.logpdf( x )\n\nEvaluates the natural logarithm of the [probability density function][pdf] (PDF).\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar y = normal.logpdf( 2.0 );\n// returns ~-2.305\n```\n\n#### Normal.prototype.mgf( t )\n\nEvaluates the [moment-generating function][mgf] (MGF).\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar y = normal.mgf( 0.2 );\n// returns ~2.054\n```\n\n#### Normal.prototype.pdf( x )\n\nEvaluates the [probability density function][pdf] (PDF).\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar y = normal.pdf( 2.0 );\n// returns ~0.1\n```\n\n#### Normal.prototype.quantile( p )\n\nEvaluates the [quantile function][quantile-function] at probability `p`.\n\n```javascript\nvar normal = new Normal( 2.0, 4.0 );\n\nvar y = normal.quantile( 0.5 );\n// returns 2.0\n\ny = normal.quantile( 1.9 );\n// returns NaN\n```\n\n</section>\n\n<!-- /.usage -->\n\n<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"notes\">\n\n</section>\n\n<!-- /.notes -->\n\n<!-- Package usage examples. -->\n\n* * *\n\n<section class=\"examples\">\n\n## Examples\n\n<!-- eslint no-undef: \"error\" -->\n\n```javascript\nvar Normal = require( '@stdlib/stats-base-dists-normal-ctor' );\n\nvar normal = new Normal( 2.0, 4.0 );\n\nvar mean = normal.mean;\n// returns 2.0\n\nvar median = normal.median;\n// returns 2.0\n\nvar s2 = normal.variance;\n// returns 16.0\n\nvar y = normal.cdf( 0.8 );\n// returns ~0.382\n```\n\n</section>\n\n<!-- /.examples -->\n\n<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"references\">\n\n</section>\n\n<!-- /.references -->\n\n<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->\n\n<section class=\"related\">\n\n</section>\n\n<!-- /.related -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n\n<section class=\"main-repo\" >\n\n* * *\n\n## Notice\n\nThis package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.\n\nFor more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].\n\n</section>\n\n<!-- /.stdlib -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"links\">\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-normal-ctor.svg\n[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-normal-ctor\n\n[test-image]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/actions/workflows/test.yml/badge.svg?branch=v0.2.3\n[test-url]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/actions/workflows/test.yml?query=branch:v0.2.3\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-normal-ctor/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-normal-ctor?branch=main\n\n<!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/stats-base-dists-normal-ctor.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/stats-base-dists-normal-ctor/main\n\n-->\n\n[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg\n[chat-url]: https://stdlib.zulipchat.com\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/tree/deno\n[deno-readme]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/tree/umd\n[umd-readme]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/tree/esm\n[esm-readme]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/stats-base-dists-normal-ctor/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-normal-ctor/main/LICENSE\n\n[normal-distribution]: https://en.wikipedia.org/wiki/Normal_distribution\n\n[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function\n\n[mgf]: https://en.wikipedia.org/wiki/Moment-generating_function\n\n[pdf]: https://en.wikipedia.org/wiki/Probability_density_function\n\n[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function\n\n[entropy]: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29\n\n[expected-value]: https://en.wikipedia.org/wiki/Expected_value\n\n[kurtosis]: https://en.wikipedia.org/wiki/Kurtosis\n\n[median]: https://en.wikipedia.org/wiki/Median\n\n[mode]: https://en.wikipedia.org/wiki/Mode_%28statistics%29\n\n[skewness]: https://en.wikipedia.org/wiki/Skewness\n\n[standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation\n\n[variance]: https://en.wikipedia.org/wiki/Variance\n\n</section>\n\n<!-- /.links -->\n","readmeFilename":"README.md"}