Beta distribution
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In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval or in terms of two positive parameters, denoted by alpha and bet
CDF for symmetric beta distribution vs. x and α = β
CDF for skewed beta distribution vs. x and β = 5α
Mode for beta distribution for 1 ≤ α ≤ 5 and 1 ≤ β ≤ 5
Median for beta distribution for 0 ≤ α ≤ 5 and 0 ≤ β ≤ 5
Dirichlet distribution
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In probability and statistics, the Dirichlet distribution, often denoted Dir , is a family of continuous multivariate probability distributions parameterized by a vector α of positive reals. It is a
Beta distribution
…whereas beta distribution of the second kind is an alternative name for the beta prime distribution. The generalization to multiple variables is called a Dirichlet distribution. The probability density function (PDF) of the beta distribution, for 0 ≤ x ≤ 1 or 0 < x < 1 , and shape parameters α , β > 0 , is a power function of…
Dirichlet
Plot noninformative prior weight