Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:alsoKnownAs |
gptkb:Conway–Maxwell–Poisson_distribution
|
| gptkbp:application |
queueing theory
count data modeling over-dispersed data under-dispersed data |
| gptkbp:field |
gptkb:probability_theory
statistics |
| gptkbp:generalizes |
gptkb:Poisson_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
COM-Poisson distribution
|
| gptkbp:introducedIn |
1962
|
| gptkbp:namedAfter |
gptkb:Conway
gptkb:Maxwell |
| gptkbp:normalizationConstant |
Z(lambda, nu) = sum_{j=0}^∞ (lambda^j)/(j!)^nu
|
| gptkbp:parameter |
lambda
nu |
| gptkbp:probabilityMassFunction |
P(X=k) = (lambda^k)/(k!)^nu * 1/Z(lambda, nu)
|
| gptkbp:reduces |
Poisson distribution when nu=1
geometric distribution when nu=0, lambda<1 |
| gptkbp:supports |
non-negative integers
|
| gptkbp:type |
discrete probability distribution
|
| gptkbp:bfsParent |
gptkb:Conway–Maxwell–Poisson_distribution
|
| gptkbp:bfsLayer |
6
|