Poisson

Poisson distribution.

Usage

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

poisson

Poisson distribution.

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

The namespace contains the following distribution functions:

cdf( x, lambda ): Poisson distribution cumulative distribution function.
logpmf( x, lambda ): evaluate the natural logarithm of the probability mass function (PMF) for a Poisson distribution.
mgf( t, lambda ): Poisson distribution moment-generating function (MGF).
pmf( x, lambda ): Poisson distribution probability mass function (PMF).
quantile( p, lambda ): Poisson distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

kurtosis( lambda ): Poisson distribution excess kurtosis.
mean( lambda ): Poisson distribution expected value.
median( lambda ): Poisson distribution median.
mode( lambda ): Poisson distribution mode.
skewness( lambda ): Poisson distribution skewness.
stdev( lambda ): Poisson distribution standard deviation.
variance( lambda ): Poisson distribution variance.

The namespace contains a constructor function for creating a Poisson distribution object.

Poisson( [lambda] ): Poisson distribution constructor.

var Poisson = require( '@stdlib/stats/base/dists/poisson' ).Poisson;

var dist = new Poisson( 2.0 );

var y = dist.pmf( 3.0 );
// returns ~0.18

y = dist.pmf( 2.3 );
// returns 0.0

Examples

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

console.log( objectKeys( poisson ) );