@stdlib/stats-base-dists-triangular-ctor

Triangular distribution constructor.

https://github.com/stdlib-js/stats-base-dists-triangular-ctor

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cdf class constructor ctor dist distribution javascript node node-js nodejs object pdf prob probability properties quantile statistics stats stdlib triangular
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Triangular distribution constructor.

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cdf class constructor ctor dist distribution javascript node node-js nodejs object pdf prob probability properties quantile statistics stats stdlib triangular
Created over 4 years ago · Last pushed 6 months ago
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README.md

About stdlib...

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.

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Triangular

NPM version Build Status Coverage Status <!-- dependencies -->

Triangular distribution constructor.

## Installation ```bash npm install @stdlib/stats-base-dists-triangular-ctor ``` Alternatively, - To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]). - If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions). - For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]). The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships. To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
## Usage ```javascript var Triangular = require( '@stdlib/stats-base-dists-triangular-ctor' ); ``` #### Triangular( \[a, b, c] ) Returns a [triangular][triangular-distribution] distribution object. ```javascript var triangular = new Triangular(); var mu = triangular.mean; // returns 0.5 ``` By default, `a = 0.0`, `b = 1.0`, and `c = 0.5`. To create a distribution having a different `a` (minimum support), `b` (maximum support), and `c` (mode), provide the corresponding arguments. ```javascript var triangular = new Triangular( 2.0, 4.0, 3.5 ); var mu = triangular.mean; // returns ~3.167 ``` * * * ## triangular An [triangular][triangular-distribution] distribution object has the following properties and methods... ### Writable Properties #### triangular.a Minimum support of the distribution. `a` **must** be a number smaller than or equal to `b` and `c`. ```javascript var triangular = new Triangular(); var a = triangular.a; // returns 0.0 triangular.a = 0.5; a = triangular.a; // returns 0.5 ``` #### triangular.b Maximum support of the distribution. `b` **must** be a number larger than or equal to `a` and `c`. ```javascript var triangular = new Triangular( 2.0, 4.0, 2.5 ); var b = triangular.b; // returns 4.0 triangular.b = 3.0; b = triangular.b; // returns 3.0 ``` #### triangular.c Mode of the distribution. `c` **must** be a number larger than or equal to `a` and smaller than or equal to `b`. ```javascript var triangular = new Triangular( 2.0, 5.0, 4.0 ); var c = triangular.c; // returns 4.0 triangular.c = 3.0; c = triangular.c; // returns 3.0 ``` * * * ### Computed Properties #### Triangular.prototype.entropy Returns the [differential entropy][entropy]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var entropy = triangular.entropy; // returns ~1.886 ``` #### Triangular.prototype.kurtosis Returns the [excess kurtosis][kurtosis]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var kurtosis = triangular.kurtosis; // returns -0.6 ``` #### Triangular.prototype.mean Returns the [expected value][expected-value]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var mu = triangular.mean; // returns ~8.667 ``` #### Triangular.prototype.median Returns the [median][median]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var median = triangular.median; // returns ~8.899 ``` #### Triangular.prototype.mode Returns the [mode][mode]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var mode = triangular.mode; // returns 10.0 ``` #### Triangular.prototype.skewness Returns the [skewness][skewness]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var skewness = triangular.skewness; // returns ~-0.422 ``` #### Triangular.prototype.stdev Returns the [standard deviation][standard-deviation]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var s = triangular.stdev; // returns ~1.7 ``` #### Triangular.prototype.variance Returns the [variance][variance]. ```javascript var triangular = new Triangular( 4.0, 12.0, 10.0 ); var s2 = triangular.variance; // returns ~2.889 ``` * * * ### Methods #### Triangular.prototype.cdf( x ) Evaluates the [cumulative distribution function][cdf] (CDF). ```javascript var triangular = new Triangular( 2.0, 4.0, 3.0 ); var y = triangular.cdf( 2.5 ); // returns 0.125 ``` #### Triangular.prototype.logcdf( x ) Evaluates the natural logarithm of the [cumulative distribution function][cdf] (CDF). ```javascript var triangular = new Triangular( 2.0, 4.0, 3.0 ); var y = triangular.logcdf( 2.5 ); // returns ~-2.079 ``` #### Triangular.prototype.logpdf( x ) Evaluates the natural logarithm of the [probability density function][pdf] (PDF). ```javascript var triangular = new Triangular( 2.0, 4.0, 3.0 ); var y = triangular.logpdf( 2.5 ); // returns ~-0.693 ``` #### Triangular.prototype.pdf( x ) Evaluates the [probability density function][pdf] (PDF). ```javascript var triangular = new Triangular( 2.0, 4.0, 3.0 ); var y = triangular.pdf( 2.5 ); // returns 0.5 ``` #### Triangular.prototype.quantile( p ) Evaluates the [quantile function][quantile-function] at probability `p`. ```javascript var triangular = new Triangular( 2.0, 4.0, 3.0 ); var y = triangular.quantile( 0.5 ); // returns 3.0 y = triangular.quantile( 1.9 ); // returns NaN ```

## Examples ```javascript var Triangular = require( '@stdlib/stats-base-dists-triangular-ctor' ); var triangular = new Triangular( 2.0, 4.0, 3.0 ); var mu = triangular.mean; // returns 3.0 var median = triangular.median; // returns 3.0 var s2 = triangular.variance; // returns ~0.167 var y = triangular.cdf( 2.5 ); // returns 0.125 ```
* * * ## Notice This 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. For 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]. #### Community [![Chat][chat-image]][chat-url] --- ## License See [LICENSE][stdlib-license]. ## Copyright Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

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Standard library for JavaScript.

Citation (CITATION.cff)

cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
  metadata from this file.

type: software

authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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npmjs.org: @stdlib/stats-base-dists-triangular-ctor

Triangular distribution constructor.

  • Homepage: https://stdlib.io
  • License: Apache-2.0
  • Latest release: 0.2.2
    published over 1 year ago
  • Versions: 12
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  • @stdlib/stats-base-dists-triangular-kurtosis ^0.0.x
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  • @stdlib/stats-base-dists-triangular-mgf ^0.0.x
  • @stdlib/stats-base-dists-triangular-mode ^0.0.x
  • @stdlib/stats-base-dists-triangular-pdf ^0.0.x
  • @stdlib/stats-base-dists-triangular-quantile ^0.0.x
  • @stdlib/stats-base-dists-triangular-skewness ^0.0.x
  • @stdlib/stats-base-dists-triangular-stdev ^0.0.x
  • @stdlib/stats-base-dists-triangular-variance ^0.0.x
  • @stdlib/string-format ^0.0.x
  • @stdlib/utils-define-nonenumerable-read-only-accessor ^0.0.x
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