cumulativeDistributionFunction
87
triples
GPTKB property
Alternative names (3)
CDF • cdf • cumulative distribution functionRandom triples
| Subject | Object |
|---|---|
| gptkb:Standard_uniform_distribution | F(x) = x for 0 ≤ x ≤ 1 |
| gptkb:Lorentz_distribution | F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2 |
| gptkb:binomial_distribution | sum_{i=0}^k C(n, i) * p^i * (1-p)^{n-i} |
| gptkb:geometric_distribution | P(X ≤ k) = 1 - (1-p)^k |
| gptkb:Snedecor's_F-distribution | involves regularized incomplete beta function |
| gptkb:Negative_binomial_distribution | Sum of PMF up to k |
| gptkb:uniform_distribution | (x-a)/(b-a) for a ≤ x ≤ b |
| gptkb:triangular_distribution | piecewise quadratic |
| gptkb:Negative_Binomial_Distribution | Regularized incomplete beta function |
| gptkb:exponential_distribution | 1 - exp(-lambda * x) |
| gptkb:chi-squared_distribution_(with_2_degrees_of_freedom) | F(x) = 1 - exp(-x/2) for x > 0 |
| gptkb:generalized_gamma_distribution | expressed in terms of incomplete gamma function |
| gptkb:GEV_distribution | closed form |
| gptkb:Arcsine_distribution_(when_alpha=beta=0.5) | F(x) = (2/π) arcsin(√x) for 0 ≤ x ≤ 1 |
| gptkb:circular_normal_distribution | no closed form |
| gptkb:Normal_Distribution | Φ((x-μ)/σ) |
| gptkb:chi_distribution | P(x;k) = gamma(k/2, x^2/2) / Gamma(k/2) |
| gptkb:univariate_t-distribution | expressed in terms of the incomplete beta function |
| gptkb:Hypergeometric_distribution | Sum of PMF from lower bound to k |
| gptkb:F-distribution | I_{d1 x/(d1 x + d2)}(d1/2, d2/2) |