166 lines
7.2 KiB
Markdown
166 lines
7.2 KiB
Markdown
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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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# Triangular
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> Triangular distribution.
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<section class="usage">
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## Usage
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```javascript
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var triangular = require( '@stdlib/stats/base/dists/triangular' );
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```
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#### triangular
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Triangular distribution.
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```javascript
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var dist = triangular;
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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, a, b, c )`][@stdlib/stats/base/dists/triangular/cdf]</span><span class="delimiter">: </span><span class="description">triangular distribution cumulative distribution function.</span>
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- <span class="signature">[`logcdf( x, a, b, c )`][@stdlib/stats/base/dists/triangular/logcdf]</span><span class="delimiter">: </span><span class="description">triangular distribution logarithm of cumulative distribution function.</span>
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- <span class="signature">[`logpdf( x, a, b, c )`][@stdlib/stats/base/dists/triangular/logpdf]</span><span class="delimiter">: </span><span class="description">triangular distribution logarithm of probability density function (PDF).</span>
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- <span class="signature">[`mgf( t, a, b, c )`][@stdlib/stats/base/dists/triangular/mgf]</span><span class="delimiter">: </span><span class="description">triangular distribution moment-generating function (MGF).</span>
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- <span class="signature">[`pdf( x, a, b, c )`][@stdlib/stats/base/dists/triangular/pdf]</span><span class="delimiter">: </span><span class="description">triangular distribution probability density function (PDF).</span>
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- <span class="signature">[`quantile( p, a, b, c )`][@stdlib/stats/base/dists/triangular/quantile]</span><span class="delimiter">: </span><span class="description">triangular 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( a, b, c )`][@stdlib/stats/base/dists/triangular/entropy]</span><span class="delimiter">: </span><span class="description">triangular distribution differential entropy.</span>
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- <span class="signature">[`kurtosis( a, b, c )`][@stdlib/stats/base/dists/triangular/kurtosis]</span><span class="delimiter">: </span><span class="description">triangular distribution excess kurtosis.</span>
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- <span class="signature">[`mean( a, b, c )`][@stdlib/stats/base/dists/triangular/mean]</span><span class="delimiter">: </span><span class="description">triangular distribution expected value.</span>
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- <span class="signature">[`median( a, b, c )`][@stdlib/stats/base/dists/triangular/median]</span><span class="delimiter">: </span><span class="description">triangular distribution median.</span>
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- <span class="signature">[`mode( a, b, c )`][@stdlib/stats/base/dists/triangular/mode]</span><span class="delimiter">: </span><span class="description">triangular distribution mode.</span>
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- <span class="signature">[`skewness( a, b, c )`][@stdlib/stats/base/dists/triangular/skewness]</span><span class="delimiter">: </span><span class="description">triangular distribution skewness.</span>
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- <span class="signature">[`stdev( a, b, c )`][@stdlib/stats/base/dists/triangular/stdev]</span><span class="delimiter">: </span><span class="description">triangular distribution standard deviation.</span>
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- <span class="signature">[`variance( a, b, c )`][@stdlib/stats/base/dists/triangular/variance]</span><span class="delimiter">: </span><span class="description">triangular 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 [triangular][triangular-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">[`Triangular( [a, b, c] )`][@stdlib/stats/base/dists/triangular/ctor]</span><span class="delimiter">: </span><span class="description">triangular distribution constructor.</span>
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</div>
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<!-- </toc> -->
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```javascript
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var Triangular = require( '@stdlib/stats/base/dists/triangular' ).Triangular;
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var dist = new Triangular( 2.0, 4.0, 3.0 );
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var y = dist.quantile( 0.5 );
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// returns 3.0
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y = dist.quantile( 1.9 );
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// returns NaN
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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 triangular = require( '@stdlib/stats/base/dists/triangular' );
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console.log( objectKeys( triangular ) );
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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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[triangular-distribution]: https://en.wikipedia.org/wiki/Triangular_distribution
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<!-- <toc-links> -->
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[@stdlib/stats/base/dists/triangular/ctor]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/ctor
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[@stdlib/stats/base/dists/triangular/entropy]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/entropy
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[@stdlib/stats/base/dists/triangular/kurtosis]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/kurtosis
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[@stdlib/stats/base/dists/triangular/mean]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/mean
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[@stdlib/stats/base/dists/triangular/median]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/median
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[@stdlib/stats/base/dists/triangular/mode]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/mode
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[@stdlib/stats/base/dists/triangular/skewness]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/skewness
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[@stdlib/stats/base/dists/triangular/stdev]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/stdev
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[@stdlib/stats/base/dists/triangular/variance]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/variance
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[@stdlib/stats/base/dists/triangular/cdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/cdf
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[@stdlib/stats/base/dists/triangular/logcdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/logcdf
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[@stdlib/stats/base/dists/triangular/logpdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/logpdf
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[@stdlib/stats/base/dists/triangular/mgf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/mgf
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[@stdlib/stats/base/dists/triangular/pdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/pdf
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[@stdlib/stats/base/dists/triangular/quantile]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/triangular/quantile
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<!-- </toc-links> -->
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</section>
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<!-- /.links -->
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