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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 A and B.

f(x,A,B) =   x^(A-1)(1-x^(B-1)/beta(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.1574080451.txt.gz · Last modified: 2019/11/18 13:34 by 127.0.0.1