cumulativeDistributionFunction
87
triples
GPTKB property
Alternative names (3)
CDF • cdf • cumulative distribution functionRandom triples
| Subject | Object |
|---|---|
| gptkb:uniform_distribution | (x-a)/(b-a) for a ≤ x ≤ b |
| gptkb:Erlang_distribution | 1 - Σ_{n=0}^{k-1} e^{-λx} (λx)^n / n! |
| gptkb:Bernoulli_random_variable | F(x) = 0 for x < 0, 1-p for 0 ≤ x < 1, 1 for x ≥ 1 |
| gptkb:Standard_Normal_Distribution | Φ(x) |
| gptkb:Inverse_chi-squared_distribution | F(x; ν) = Γ(ν/2, 1/(2x))/Γ(ν/2) |
| gptkb:Weibull_distribution_(with_shape_parameter_1) | F(x) = 1 - exp(-x/λ) for x ≥ 0 |
| gptkb:von_Mises_distribution | no closed form |
| gptkb:Binomial_distribution | Sum_{i=0}^k C(n, i) p^i (1-p)^{n-i} |
| gptkb:Rayleigh_distribution | 1 - exp(-x^2/(2σ^2)) for x ≥ 0 |
| gptkb:Laplace_distribution | 0.5 * exp((x-μ)/b) for x<μ, 1-0.5*exp(-(x-μ)/b) for x≥μ |
| gptkb:circular_normal_distribution | no closed form |
| gptkb:Chi-squared_distribution | P(x; k) = γ(k/2, x/2)/Γ(k/2) |
| gptkb:beta_distribution | regularized incomplete beta function |
| gptkb:Gumbel_distribution | F(x) = exp(-exp(-(x-μ)/β)) |
| gptkb:log-normal_distribution | Φ((ln x - μ)/σ), x > 0 |
| gptkb:geometric_distribution | P(X ≤ k) = 1 - (1-p)^k |
| gptkb:Weibull_distribution | F(x; k, λ) = 1 - e^{-(x/λ)^k} for x ≥ 0 |
| gptkb:Lévy_distribution | F(x; μ, c) = erfc(sqrt(c / (2(x-μ)))), x > μ |
| gptkb:Fréchet_distribution | F(x; α, s, m) = exp(-((x-m)/s)^(-α)) for x > m |
| gptkb:chi-squared_distribution | γ(k/2, x/2)/Γ(k/2) |