Dirichlet Multinomial Distribution Formula - Probability And Distributions

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Formula

Formula:
Dirichlets Multinomial Distribution

Where,
Pr(Z | α ) is Dirichlets Multinominal Distribution
A is ∑_k α_k (Sigma) represents summation of Parameter vector (α) values
N is ∑_k n_k represents summation of Independent trial (n) values
k is number of trials
Γ (gamma) represents factorial function of (x-1)
Π (pi) represents product function