## 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 ```