cumulativeDistributionFunction
87
triples
GPTKB property
Alternative names (3)
CDF • cdf • cumulative distribution functionRandom triples
| Subject | Object |
|---|---|
| gptkb:Generalized_extreme_value_distribution | F(x) = exp(- (1 + ξ((x-μ)/σ))^{-1/ξ}) |
| gptkb:Arcsine_distribution_(when_alpha=beta=0.5) | F(x) = (2/π) arcsin(√x) for 0 ≤ x ≤ 1 |
| gptkb:Standard_Normal_Distribution | Φ(x) |
| gptkb:GEV_distribution | closed form |
| gptkb:geometric_distribution | P(X ≤ k) = 1 - (1-p)^k |
| gptkb:von_Mises_distribution | no closed form |
| gptkb:Lévy_distribution | F(x; μ, c) = erfc(sqrt(c / (2(x-μ)))), x > μ |
| gptkb:Snedecor's_F-distribution | involves regularized incomplete beta function |
| gptkb:Noncentral_chi-squared_distribution | No closed form |
| gptkb:Bernoulli_distribution | 0 for x<0, 1-p for 0≤x<1, 1 for x≥1 |
| gptkb:generalized_Pareto_distribution | F(x) = 1 - (1 + b(x-bc)/c)^{-1/b} for b |
| gptkb:Beta_distribution | regularized incomplete beta function |
| gptkb:Noncentral_t-distribution | no closed form |
| gptkb:Gumbel_distribution | F(x) = exp(-exp(-(x-μ)/β)) |
| gptkb:t-distribution_(with_1_degree_of_freedom) | (1/2) + (1/π) arctan(x) |
| gptkb:Pearson_Type_X_distribution | regularized incomplete beta function |
| gptkb:Bernoulli_random_variable | F(x) = 0 for x < 0, 1-p for 0 ≤ x < 1, 1 for x ≥ 1 |
| gptkb:Cauchy_distribution | F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2 |
| gptkb:Noncentral_F-distribution | no closed form |
| gptkb:beta_distribution | regularized incomplete beta function |