cumulativeDistributionFunction
87
triples
GPTKB property
Alternative names (3)
CDF • cdf • cumulative distribution functionRandom triples
| Subject | Object |
|---|---|
| gptkb:von_Mises_distribution | no closed form |
| gptkb:bernoulli_distribution | 0 for x<0, 1-p for 0≤x<1, 1 for x≥1 |
| gptkb:exponential_distribution_(when_k=1) | F(x;λ) = 1 - e^{-λx} for x ≥ 0 |
| gptkb:Pareto_distribution | F(x; xm, α) = 1 - (xm/x)^α |
| gptkb:Arcsine_distribution_(when_alpha=beta=0.5) | F(x) = (2/π) arcsin(√x) for 0 ≤ x ≤ 1 |
| gptkb:generalized_extreme_value_distribution | F(x) = exp(-[1 + ξ((x-μ)/σ)]^{-1/ξ}) |
| gptkb:Inverse_chi-squared_distribution | F(x; ν) = Γ(ν/2, 1/(2x))/Γ(ν/2) |
| gptkb:normal_distribution | (1/2)[1 + erf((x-μ)/(σ√2))] |
| gptkb:univariate_normal_distribution | Φ((x-μ)/σ) |
| gptkb:beta_distribution | regularized incomplete beta function |
| gptkb:Log-gamma_distribution | F(x; μ, θ, k) = γ(k, exp((x-μ)/θ))/Γ(k) |
| gptkb:chi_distribution | P(x;k) = gamma(k/2, x^2/2) / Gamma(k/2) |
| gptkb:Gaussian_Distribution | Φ((x-μ)/σ) |
| gptkb:Normal_distribution_(standard_parameterization) | Φ((x-μ)/σ) |
| gptkb:Laplace_distribution | 0.5 * exp((x-μ)/b) for x<μ, 1-0.5*exp(-(x-μ)/b) for x≥μ |
| gptkb:Binomial_distribution | Sum_{i=0}^k C(n, i) p^i (1-p)^{n-i} |
| gptkb:generalized_Pareto_distribution | F(x) = 1 - (1 + b(x-bc)/c)^{-1/b} for b |
| gptkb:Gamma_distribution | F(x;k,θ) = γ(k, x/θ) / Γ(k) |
| gptkb:double_exponential_distribution | F(x|μ,b) = 1 - 0.5 * exp(-(x-μ)/b) for x ≥ μ |
| gptkb:Lorentz_distribution | F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2 |