gamma distribution (with shape n)
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:conjugate_prior_for |
gptkb:Poisson_distribution
gptkb:exponential_distribution |
| gptkbp:cumulativeDistributionFunction |
incomplete gamma function
|
| gptkbp:hasSpecialCase |
chi-squared distribution (when lambda=1/2, n=k/2)
exponential distribution (when n=1) |
| https://www.w3.org/2000/01/rdf-schema#label |
gamma distribution (with shape n)
|
| gptkbp:kurtosis |
6 / n
|
| gptkbp:meaning |
n / lambda
|
| gptkbp:mode |
(n-1)/lambda (for n>1)
|
| gptkbp:moments |
k-th moment is (n+k-1)! / (lambda^k (n-1)!)
|
| gptkbp:namedAfter |
gptkb:gamma_function
|
| gptkbp:parameter |
rate parameter (lambda or β)
shape parameter n |
| gptkbp:pdf |
lambda^n x^{n-1} e^{-lambda x} / Gamma(n)
|
| gptkbp:relatedTo |
Erlang distribution (when n is integer)
beta distribution (as a component) |
| gptkbp:skewness |
2 / sqrt(n)
|
| gptkbp:supports |
x > 0
|
| gptkbp:used_in |
Bayesian statistics
queueing theory reliability engineering |
| gptkbp:variant |
n / lambda^2
|
| gptkbp:bfsParent |
gptkb:exponential_distribution_(when_k=1)
|
| gptkbp:bfsLayer |
8
|