About: Conway–Maxwell–binomial distribution

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In probability theory and statistics, the Conway–Maxwell–binomial (CMB) distribution is a three parameter discrete probability distribution that generalises the binomial distribution in an analogous manner to the way that the Conway–Maxwell–Poisson distribution generalises the Poisson distribution. The CMB distribution can be used to model both positive and negative association among the Bernoulli summands,. The distribution was introduced by Shumeli et al. (2005), and the name Conway–Maxwell–binomial distribution was introduced independently by Kadane (2016) and Daly and Gaunt (2016).

Property	Value
dbo:abstract	In probability theory and statistics, the Conway–Maxwell–binomial (CMB) distribution is a three parameter discrete probability distribution that generalises the binomial distribution in an analogous manner to the way that the Conway–Maxwell–Poisson distribution generalises the Poisson distribution. The CMB distribution can be used to model both positive and negative association among the Bernoulli summands,. The distribution was introduced by Shumeli et al. (2005), and the name Conway–Maxwell–binomial distribution was introduced independently by Kadane (2016) and Daly and Gaunt (2016). (en)
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dbo:wikiPageWikiLink	dbr:Bernoulli_distribution dbr:Dependent_and_independent_variables dbc:Discrete_distributions dbr:Convergence_of_random_variables dbr:Mode_(statistics) dbr:Moment_(mathematics) dbr:Conway–Maxwell–Poisson_distribution dbr:Statistics dbr:Formula dbr:Normalizing_constant dbr:Probability_theory dbr:Random_variable dbr:Binomial_distribution dbr:Distribution_(mathematics) dbr:Poisson_distribution dbr:Integer dbr:Probability_mass_function dbr:Poisson_binomial_distribution dbr:Exchangeable_random_variables dbr:Characteristic_function dbr:Falling_factorial dbr:Joint_distribution dbr:Probability_generating_function dbr:Moment_generating_function
dbp:char	See text (en)
dbp:entropy	Not listed (en)
dbp:kurtosis	Not listed (en)
dbp:mean	Not listed (en)
dbp:median	No closed form (en)
dbp:mgf	See text (en)
dbp:mode	See text (en)
dbp:name	Conway–Maxwell–binomial (en)
dbp:skewness	Not listed (en)
dbp:type	mass (en)
dbp:variance	Not listed (en)
dbp:wikiPageUsesTemplate	dbt:Infobox_probability_distribution
dcterms:subject	dbc:Discrete_distributions
rdfs:comment	In probability theory and statistics, the Conway–Maxwell–binomial (CMB) distribution is a three parameter discrete probability distribution that generalises the binomial distribution in an analogous manner to the way that the Conway–Maxwell–Poisson distribution generalises the Poisson distribution. The CMB distribution can be used to model both positive and negative association among the Bernoulli summands,. The distribution was introduced by Shumeli et al. (2005), and the name Conway–Maxwell–binomial distribution was introduced independently by Kadane (2016) and Daly and Gaunt (2016). (en)
rdfs:label	Conway–Maxwell–binomial distribution (en)
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