|
gptkb:Inverse_gamma_distribution
|
4√(α-2)/ (α-3), for α > 3
|
|
gptkb:log-normal_distribution
|
(exp(σ^2) + 2)√(exp(σ^2) - 1)
|
|
gptkb:Normal_Distribution
|
0
|
|
gptkb:beta_distribution
|
(2*(beta-alpha)*sqrt(alpha+beta+1))/((alpha+beta+2)*sqrt(alpha*beta))
|
|
gptkb:Normal_Distribution_Function
|
0
|
|
gptkb:Negative_binomial_distribution
|
(2-p)/sqrt(r(1-p))
|
|
gptkb:Type_II_extreme_value_distribution
|
positive
|
|
gptkb:Standard_uniform_distribution
|
0
|
|
gptkb:Uniform_distribution_(when_alpha=1,_beta=1)
|
0
|
|
gptkb:triangular_distribution
|
depends on parameters
|
|
gptkb:chi_distribution
|
(2^{3/2} Gamma((k+1)/2) / Gamma(k/2)) * (1 - (mean)^2/k)
|
|
gptkb:lognormal_distribution
|
(exp(σ^2) + 2)√(exp(σ^2) - 1)
|
|
gptkb:Chi-squared_distribution_(λ=0)
|
sqrt(8/k)
|
|
gptkb:gamma_distribution_(with_shape_n)
|
2 / sqrt(n)
|
|
gptkb:Rayleigh_distribution
|
0.6311
|
|
gptkb:Fréchet_distribution
|
exists for α > 3
|
|
gptkb:Arcsin_distribution
|
0
|
|
gptkb:Standard_Normal_Distribution
|
0
|
|
gptkb:exponential_distribution_(when_k=1)
|
2
|
|
gptkb:Gumbel_distribution
|
12√6 ζ(3)/π^3 ≈ 1.1396
|