Poisson

The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event.

This topic contains the following sections:

Constructor
Methods
Properties

Constructor

Constructor	Description	Performance
set distribution parameter λ	Creates new instance of Poisson Poisson(Double)

Description

Performance

set distribution parameter λ

Creates new instance of Poisson

method Poisson(Double)

Methods

Method	Description	Performance
sample	Generate random variable sample. Sample Fill in array with random variable series in place: Sample(Int32) Static method which generates new sample of Poisson distribution variate with specified lambda: Sample(Double) Sample(RandomGenerator, Double)
pmf	Probability mass function. Pmf(Int32) Static probability mass function. Pmf(Int32, Double)
cdf	Cumulative distribution function. Cdf(Int32) Static cumulative distribution function. Cdf(Int32, Double)
inverse cdf	Inverse cumulative distribution function. Is useful for quantile calculation. Function will return value of random variable such that likelihood for this random variable to occur less than or equal to returned value equal to specified pvalue parameter. InverseCdf(Double, Double)

Properties

Property	Description	Performance
lambda	Distribution parameter. Lambda
mean	Mean of the distribution. Mean
mode	Mode of distribution. Mode
kurtosis	Excess Kurtosis of distribution. Kurtosis
skewness	Skewness of distribution. Skewness
variance	Variance of the distribution. Variance