cumulativeDistributionFunction
87
triples
GPTKB property
Alternative names (3)
CDF • cdf • cumulative distribution functionRandom triples
| Subject | Object |
|---|---|
| gptkb:Fisher–Snedecor_distribution | I_{d1 x/(d1 x + d2)}(d1/2, d2/2) |
| gptkb:Arcsin_distribution | F(x) = (2/π) arcsin(√x) for x in [0,1] |
| gptkb:Uniform_distribution_(when_alpha=1,_beta=1) | x for x in [0,1] |
| gptkb:standard_normal_distribution | Φ(x) |
| gptkb:t-distribution_(with_1_degree_of_freedom) | (1/2) + (1/π) arctan(x) |
| gptkb:binomial_distribution | sum_{i=0}^k C(n, i) * p^i * (1-p)^{n-i} |
| gptkb:discrete_uniform_distribution | F(x) = (floor(x) - a + 1)/n for a ≤ x < b |
| gptkb:generalized_extreme_value_distribution | F(x) = exp(-[1 + ξ((x-μ)/σ)]^{-1/ξ}) |
| gptkb:Snedecor's_F-distribution | involves regularized incomplete beta function |
| gptkb:F-distribution | I_{d1 x/(d1 x + d2)}(d1/2, d2/2) |
| gptkb:Weibull_distribution_(with_shape_parameter_1) | F(x) = 1 - exp(-x/λ) for x ≥ 0 |
| gptkb:degenerate_distribution | step function |
| gptkb:chi_distribution | P(x;k) = gamma(k/2, x^2/2) / Gamma(k/2) |
| gptkb:Lorentzian_distribution | F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2 |
| gptkb:von_Mises_distribution | no closed form |
| gptkb:inverse_gamma_distribution | Γ(α, β/x) / Γ(α) |
| gptkb:Log-normal_distribution | F(x; μ, σ) = 0.5 + 0.5 erf[(ln x - μ)/(σ√2)] |
| gptkb:geometric_distribution | P(X ≤ k) = 1 - (1-p)^k |
| gptkb:Lorentz_distribution | F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2 |
| gptkb:generalized_gamma_distribution | expressed in terms of incomplete gamma function |