About: Conway–Maxwell–Poisson distribution

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In probability theory and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard W. Conway, William L. Maxwell, and Siméon Denis Poisson that generalizes the Poisson distribution by adding a parameter to model overdispersion and underdispersion. It is a member of the exponential family, has the Poisson distribution and geometric distribution as special cases and the Bernoulli distribution as a limiting case.

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rdfs:label	Conway–Maxwell–Poisson distribution (en) Loi de Conway-Maxwell-Poisson (fr)
rdfs:comment	In probability theory and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard W. Conway, William L. Maxwell, and Siméon Denis Poisson that generalizes the Poisson distribution by adding a parameter to model overdispersion and underdispersion. It is a member of the exponential family, has the Poisson distribution and geometric distribution as special cases and the Bernoulli distribution as a limiting case. (en) En théorie des probabilités et en statistique, la loi de Conway-Maxwell-Poisson est une loi de probabilité discrète nommée d'après , et Siméon Denis Poisson. Cette loi, notée CMP ou COM-Poisson, généralise la loi de Poisson en ajoutant un paramètre pour modéliser la sur-dispersion statistique et la sous-dispersion statistique. Elle est une loi de la famille exponentielle. La loi géométrique en est également un cas particulier et la loi de Bernoulli est son cas limite. (fr)
name	Conway–Maxwell–Poisson (en)
foaf:depiction
dcterms:subject	Poisson distribution Discrete distributions
Wikipage page ID	15845763 (xsd:integer)
Wikipage revision ID	1115619848 (xsd:integer)
Link from a Wikipage to another Wikipage	Normalization constant Bernoulli distribution Poisson distribution Variance Discrete distributions Mean Median Generalized linear model Geometric distribution Poisson regression William L. Maxwell Generalized hypergeometric function Mode (statistics) Moment (mathematics) Conway–Maxwell–binomial distribution Homoscedasticity Likelihood function Limiting case (mathematics) Siméon Denis Poisson Statistics Coefficients Logistic regression Cumulative distribution function Excess kurtosis Exponential family Non-informative prior Probability theory Asymptotic expansion Poisson distribution Special case WinBugs Newton's method Markov chain Monte Carlo Maximum likelihood Probability mass function Skewness Weighted least squares Discrete probability distribution Overdispersion Modified Bessel function Richard W. Conway Statistical hypothesis test Falling factorial Queueing system Relative frequencies Probability generating function Underdispersion Cumulant generating function Cumulants
Link from a Wikipage to an external page	http://alumni.media.mit.edu/~tpminka/software/compoisson https://cran.r-project.org/web/packages/compoisson/index.html
sameAs	Conway–Maxwell–Poisson distribution Conway–Maxwell–Poisson distribution Conway–Maxwell–Poisson distribution Conway–Maxwell–Poisson distribution
skewness	Not listed (en)
dbp:wikiPageUsesTemplate	dbt:ProbDistributions dbt:Short_description dbt:Infobox_probability_distribution
thumbnail	wiki-commons:Special:FilePath/CMP_PMF.png?width=300
type	mass (en)
mode	See text (en)
has abstract	In probability theory and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard W. Conway, William L. Maxwell, and Siméon Denis Poisson that generalizes the Poisson distribution by adding a parameter to model overdispersion and underdispersion. It is a member of the exponential family, has the Poisson distribution and geometric distribution as special cases and the Bernoulli distribution as a limiting case. (en) En théorie des probabilités et en statistique, la loi de Conway-Maxwell-Poisson est une loi de probabilité discrète nommée d'après , et Siméon Denis Poisson. Cette loi, notée CMP ou COM-Poisson, généralise la loi de Poisson en ajoutant un paramètre pour modéliser la sur-dispersion statistique et la sous-dispersion statistique. Elle est une loi de la famille exponentielle. La loi géométrique en est également un cas particulier et la loi de Bernoulli est son cas limite. (fr)
cdf image	300 (xsd:integer)
entropy	Not listed (en)
kurtosis	Not listed (en)
median	No closed form (en)
pdf image	300 (xsd:integer)
prov:wasDerivedFrom	wikipedia-en:Conway–Maxwell–Poisson_distribution?oldid=1115619848&ns=0
page length (characters) of wiki page	23427 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Conway–Maxwell–Poisson_distribution
is Link from a Wikipage to another Wikipage of	List of probability distributions

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