Erlang

Erlang distribution.

Installation

npm install @stdlib/stats-base-dists-erlang

Alternatively,

To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
If you are using Deno, visit the deno branch (see README for usage intructions).
For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md 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

var erlang = require( '@stdlib/stats-base-dists-erlang' );

erlang

Erlang distribution.

var dist = erlang;
// returns {...}

The namespace contains the following distribution functions:

cdf( x, k, lambda ): Erlang distribution cumulative distribution function.
logpdf( x, k, lambda ): evaluate the natural logarithm of the probability density function (PDF) for an Erlang distribution.
mgf( t, k, lambda ): Erlang distribution moment-generating function (MGF).
pdf( x, k, lambda ): Erlang distribution probability density function (PDF).
quantile( p, k, lambda ): Erlang distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

entropy( k, lambda ): Erlang distribution differential entropy.
kurtosis( k, lambda ): Erlang distribution excess kurtosis.
mean( k, lambda ): Erlang distribution expected value.
mode( k, lambda ): Erlang distribution mode.
skewness( k, lambda ): Erlang distribution skewness.
stdev( k, lambda ): Erlang distribution standard deviation.
variance( k, lambda ): Erlang distribution variance.

The namespace contains a constructor function for creating an Erlang distribution object.

Erlang( [k, lambda] ): Erlang distribution constructor.

var Erlang = require( '@stdlib/stats-base-dists-erlang' ).Erlang;

var dist = new Erlang( 2, 4.0 );

var y = dist.logpdf( 0.8 );
// returns ~-0.65

Examples

var objectKeys = require( '@stdlib/utils-keys' );
var erlang = require( '@stdlib/stats-base-dists-erlang' );

console.log( objectKeys( erlang ) );

Notice

This 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.