User Tools

Site Tools


beta-pert_distribution

This is an old revision of the document!


Beta (Generalized) Distribution

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

This is a generalized version of the Beta distribution with dynamic interval defined by parameters min and max.

f(x,alpha,beta,min,max) =  1)^(alpha-1)*(1-2)^(beta-1)/Beta(alpha,beta)-min)/(max-min) where  

Beta(alpha,beta) = ..integral from 0 to 1 of t^(z-1)*(1-t)^(w-1) dt. support [min ⇐ x ⇐ max]

ParameterDescription Default value
a The first scale (min) 0.0
b The second scale (max) 1.0
c The shape (most likely)0.0
lambda The third scale 4.0
1)
(x-min)/(max-min
2)
x-min)/(max-min
beta-pert_distribution.1674217096.txt.gz · Last modified: 2023/01/20 13:18 by daria