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Sums of possibly associated multivariate indicator functions: the Conway-Maxwell-multinomial distribution. (English) Zbl 1398.62128

Summary: The Conway-Maxwell-Multinomial distribution is studied in this paper. Its properties are demonstrated, including sufficient statistics and conditions for the propriety of posterior distributions derived from it. An application is given using data from Mendel’s ground-breaking genetic studies.

MSC:

62H05 Characterization and structure theory for multivariate probability distributions; copulas
60E05 Probability distributions: general theory
62P10 Applications of statistics to biology and medical sciences; meta analysis
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