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gptkb:negative_binomial_distribution
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P(X=k) = C(k+r-1, k) * (1-p)^k * p^r
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gptkb:bernoulli_distribution
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p^x (1-p)^{1-x}
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gptkb:binomial_distribution
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P(X = k) = C(n, k) * p^k * (1-p)^{n-k}
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gptkb:Negative_Binomial_Distribution
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P(X = k) = C(k+r-1, k) * (1-p)^k * p^r
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gptkb:beta-binomial_distribution
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C(n, k) * Beta(k+alpha, n-k+beta) / Beta(alpha, beta)
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gptkb:geometric_distribution
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P(X = k) = (1-p)^{k-1} p
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gptkb:Pascal_distribution
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P(X=k) = C(k-1, r-1) * p^r * (1-p)^{k-r} for k = r, r+1, ...
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gptkb:Negative_binomial_distribution
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P(X=k) = C(k+r-1, k) * (1-p)^k * p^r
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