Beta

The beta distribution is a family of continuous probability distributions defined on the interval (0, 1) parameterized by two positive shape parameters, typically denoted by A and B.

This topic contains the following sections:

Constructor
Methods
Properties

Constructor

Constructor	Description	Performance
set shape parameters	Creates new instance of Beta with user specified parameters. Beta(Double, Double)

Description

Performance

set shape parameters

Creates new instance of Beta with user specified parameters.

method Beta(Double, Double)

Methods

Method	Description	Performance
sample	Generate random variable sample. Sample Fill in array with random variable series in place: Sample(Double) Static method which generates new sample of beta distribution variate with specified parameters: Sample(Double, Double) Sample(RandomGenerator, Double, Double)
pdf	Probability density function. Pdf(Double) Static probability density function. Pdf(Double, Double, Double)
cdf	Cumulative distribution function. where I_x is the regularized incomplete beta function. Cdf(Double) Static cumulative distribution function. Cdf(Double, Double, 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, Double)

Properties

Property	Description	Performance
A	The first shape parameter. A
B	The second shape parameter. B
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