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.
"Sums of possibly associated multivariate indicator functions: The Conway–Maxwell-Multinomial distribution." Braz. J. Probab. Stat. 32 (3) 583 - 596, August 2018. https://doi.org/10.1214/17-BJPS355