Conway-Maxwell-Poisson distribution
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:alsoKnownAs |
gptkb:COM-Poisson_distribution
|
| gptkbp:application |
biostatistics
operations research queueing theory actuarial science count data analysis |
| gptkbp:citation |
Conway, R. W. and Maxwell, W. L. (1962). A queuing model with state dependent service rates. Journal of Industrial Engineering, 12, 132–136.
|
| gptkbp:generalizes |
gptkb:Poisson_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
Conway-Maxwell-Poisson distribution
|
| gptkbp:introduced |
gptkb:W._L._Maxwell
R. W. Conway |
| 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:usedFor |
modeling over-dispersion
modeling under-dispersion |
| gptkbp:bfsParent |
gptkb:Richard_Conway
|
| gptkbp:bfsLayer |
7
|