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beta_distribution

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Beta Distribution

In probability theory and statistics, the Beta distribution is a family of continuous probability distributions defined on the interval [0,1] parametrized by two non-negative shape parameters, typically denoted by alpha and beta.

f(x,alpha,beta) =   x^(alpha-1)*(1-x)^(beta-1)/B(A,B))

where   beta(z,w) = integral from 0 to 1 of t^(z-1)(1-t)^(w-1) dt.

support 0 ⇐ x ⇐ 1

ParameterDescription Default valueRestriction
A The first shape parameter 2.0 A>0
B The second shape parameter2.0 B>0
beta_distribution.1674139046.txt.gz · Last modified: 2023/01/19 15:37 by daria