154 lines
5.6 KiB
Markdown
154 lines
5.6 KiB
Markdown
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<!--
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Chi
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> Chi distribution.
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<section class="usage">
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## Usage
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```javascript
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var chi = require( '@stdlib/stats/base/dists/chi' );
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```
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#### chi
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Chi distribution.
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```javascript
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var dist = chi;
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// returns {...}
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```
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The namespace contains the following distribution functions:
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<!-- <toc pattern="*+(cdf|pdf|mgf|quantile)*"> -->
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<div class="namespace-toc">
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- <span class="signature">[`cdf( x, k )`][@stdlib/stats/base/dists/chi/cdf]</span><span class="delimiter">: </span><span class="description">Chi distribution cumulative distribution function.</span>
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- <span class="signature">[`logpdf( x, k )`][@stdlib/stats/base/dists/chi/logpdf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the probability density function (PDF) for a chi distribution .</span>
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- <span class="signature">[`pdf( x, k )`][@stdlib/stats/base/dists/chi/pdf]</span><span class="delimiter">: </span><span class="description">Chi distribution probability density function (PDF).</span>
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- <span class="signature">[`quantile( p, k )`][@stdlib/stats/base/dists/chi/quantile]</span><span class="delimiter">: </span><span class="description">Chi distribution quantile function.</span>
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</div>
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<!-- </toc> -->
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The namespace contains the following functions for calculating distribution properties:
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<!-- <toc pattern="*+(entropy|kurtosis|mean|median|mode|skewness|stdev|variance)*"> -->
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<div class="namespace-toc">
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- <span class="signature">[`entropy( k )`][@stdlib/stats/base/dists/chi/entropy]</span><span class="delimiter">: </span><span class="description">Chi distribution differential entropy.</span>
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- <span class="signature">[`kurtosis( k )`][@stdlib/stats/base/dists/chi/kurtosis]</span><span class="delimiter">: </span><span class="description">Chi distribution excess kurtosis.</span>
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- <span class="signature">[`mean( k )`][@stdlib/stats/base/dists/chi/mean]</span><span class="delimiter">: </span><span class="description">Chi distribution expected value.</span>
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- <span class="signature">[`mode( k )`][@stdlib/stats/base/dists/chi/mode]</span><span class="delimiter">: </span><span class="description">Chi distribution mode.</span>
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- <span class="signature">[`skewness( k )`][@stdlib/stats/base/dists/chi/skewness]</span><span class="delimiter">: </span><span class="description">Chi distribution skewness.</span>
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- <span class="signature">[`stdev( k )`][@stdlib/stats/base/dists/chi/stdev]</span><span class="delimiter">: </span><span class="description">Chi distribution standard deviation.</span>
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- <span class="signature">[`variance( k )`][@stdlib/stats/base/dists/chi/variance]</span><span class="delimiter">: </span><span class="description">Chi distribution variance.</span>
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</div>
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<!-- </toc> -->
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The namespace contains a constructor function for creating a [Chi][chi-distribution] distribution object.
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<!-- <toc pattern="*ctor*"> -->
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<div class="namespace-toc">
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- <span class="signature">[`Chi( [k] )`][@stdlib/stats/base/dists/chi/ctor]</span><span class="delimiter">: </span><span class="description">Chi distribution constructor.</span>
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</div>
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<!-- </toc> -->
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```javascript
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var Chi = require( '@stdlib/stats/base/dists/chi' ).Chi;
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var dist = new Chi( 4.0 );
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var mu = dist.mean;
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// returns ~1.88
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- TODO: better examples -->
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<!-- eslint no-undef: "error" -->
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```javascript
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var objectKeys = require( '@stdlib/utils/keys' );
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var chi = require( '@stdlib/stats/base/dists/chi' );
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console.log( objectKeys( chi ) );
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[chi-distribution]: https://en.wikipedia.org/wiki/Chi_distribution
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<!-- <toc-links> -->
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[@stdlib/stats/base/dists/chi/ctor]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/ctor
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[@stdlib/stats/base/dists/chi/entropy]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/entropy
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[@stdlib/stats/base/dists/chi/kurtosis]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/kurtosis
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[@stdlib/stats/base/dists/chi/mean]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/mean
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[@stdlib/stats/base/dists/chi/mode]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/mode
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[@stdlib/stats/base/dists/chi/skewness]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/skewness
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[@stdlib/stats/base/dists/chi/stdev]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/stdev
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[@stdlib/stats/base/dists/chi/variance]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/variance
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[@stdlib/stats/base/dists/chi/cdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/cdf
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[@stdlib/stats/base/dists/chi/logpdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/logpdf
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[@stdlib/stats/base/dists/chi/pdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/pdf
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[@stdlib/stats/base/dists/chi/quantile]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/chi/quantile
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<!-- </toc-links> -->
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</section>
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<!-- /.links -->
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