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gptkb:negative_binomial_distribution
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sum of PMFs up to k
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gptkb:Inverse_gamma_distribution
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Γ(α, β/x) / Γ(α)
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gptkb:Beta_distribution
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regularized incomplete beta function
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gptkb:Generalized_extreme_value_distribution
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F(x) = exp(- (1 + ξ((x-μ)/σ))^{-1/ξ})
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gptkb:Inverse_chi-squared_distribution
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F(x; ν) = Γ(ν/2, 1/(2x))/Γ(ν/2)
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gptkb:Negative_Binomial_Distribution
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Regularized incomplete beta function
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gptkb:exponential_distribution
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1 - exp(-lambda * x)
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gptkb:univariate_standard_normal_distribution
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(1/2)[1 + erf(x/√2)]
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gptkb:discrete_uniform_distribution
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F(x) = (floor(x) - a + 1)/n for a ≤ x < b
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gptkb:Fisher–Snedecor_distribution
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I_{d1 x/(d1 x + d2)}(d1/2, d2/2)
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gptkb:Pearson_Type_V
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CDF(x; a, b) = Γ(a, b/x) / Γ(a)
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gptkb:univariate_normal_distribution
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Φ((x-μ)/σ)
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gptkb:Hypergeometric_distribution
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Sum of PMF from lower bound to k
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gptkb:von_Mises_distribution
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no closed form
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gptkb:circular_normal_distribution
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no closed form
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gptkb:Pearson_Type_X_distribution
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regularized incomplete beta function
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gptkb:Delta_Distribution
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Heaviside Step Function
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gptkb:Chi-squared_distribution
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P(x; k) = γ(k/2, x/2)/Γ(k/2)
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gptkb:Cauchy_distribution
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F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2
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gptkb:Negative_binomial_distribution
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Sum of PMF up to k
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