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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]
Parameter | Description | 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 |