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Laplace distribution constructor.
npm install @stdlib/stats-base-dists-laplace-ctorvar Laplace = require( '@stdlib/stats-base-dists-laplace-ctor' );Returns a Laplace distribution object.
var laplace = new Laplace();
var mu = laplace.mean;
// returns 0.0By default, mu = 0.0 and b = 1.0. To create a distribution having a different mu (location parameter) and b (scale parameter), provide the corresponding arguments.
var laplace = new Laplace( 2.0, 4.0 );
var mu = laplace.mean;
// returns 2.0A Laplace distribution object has the following properties and methods...
Location parameter of the distribution.
var laplace = new Laplace();
var mu = laplace.mu;
// returns 0.0
laplace.mu = 3.0;
mu = laplace.mu;
// returns 3.0Scale parameter of the distribution. b must be a positive number.
var laplace = new Laplace( 2.0, 4.0 );
var b = laplace.b;
// returns 4.0
laplace.b = 3.0;
b = laplace.b;
// returns 3.0Returns the differential entropy.
var laplace = new Laplace( 4.0, 12.0 );
var entropy = laplace.entropy;
// returns ~4.178Returns the excess kurtosis.
var laplace = new Laplace( 4.0, 12.0 );
var kurtosis = laplace.kurtosis;
// returns 3.0Returns the expected value.
var laplace = new Laplace( 4.0, 12.0 );
var mu = laplace.mean;
// returns 4.0Returns the median.
var laplace = new Laplace( 4.0, 12.0 );
var median = laplace.median;
// returns 4.0Returns the mode.
var laplace = new Laplace( 4.0, 12.0 );
var mode = laplace.mode;
// returns 4.0Returns the skewness.
var laplace = new Laplace( 4.0, 12.0 );
var skewness = laplace.skewness;
// returns 0.0Returns the standard deviation.
var laplace = new Laplace( 4.0, 12.0 );
var s = laplace.stdev;
// returns ~16.971Returns the variance.
var laplace = new Laplace( 4.0, 12.0 );
var s2 = laplace.variance;
// returns 288.0Evaluates the cumulative distribution function (CDF).
var laplace = new Laplace( 2.0, 4.0 );
var y = laplace.cdf( 0.5 );
// returns ~0.344Evaluates the natural logarithm of the cumulative distribution function (CDF).
var laplace = new Laplace( 2.0, 4.0 );
var y = laplace.logcdf( 2.0 );
// returns ~-0.693Evaluates the natural logarithm of the probability density function (PDF).
var laplace = new Laplace( 2.0, 4.0 );
var y = laplace.logpdf( 0.8 );
// returns ~-2.379Evaluates the moment-generating function (MGF).
var laplace = new Laplace( 2.0, 4.0 );
var y = laplace.mgf( 0.2 );
// returns ~4.144Evaluates the probability density function (PDF).
var laplace = new Laplace( 2.0, 4.0 );
var y = laplace.pdf( 2.0 );
// returns 0.125Evaluates the quantile function at probability p.
var laplace = new Laplace( 2.0, 4.0 );
var y = laplace.quantile( 0.5 );
// returns 2.0
y = laplace.quantile( 1.9 );
// returns NaNvar Laplace = require( '@stdlib/stats-base-dists-laplace-ctor' );
var laplace = new Laplace( 2.0, 4.0 );
var mean = laplace.mean;
// returns 2.0
var median = laplace.median;
// returns 2.0
var s2 = laplace.variance;
// returns 32.0
var y = laplace.cdf( 0.8 );
// returns ~0.37This package is part of 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, see the main project repository.
See LICENSE.
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