Abstract
The study of sums of possibly associated Bernoulli random variables has been hampered by an asymmetry between positive correlation and negative correlation. The Conway–Maxwell-Binomial (CMB) distribution gracefully models both positive and negative association. This distribution has sufficient statistics and a family of proper conjugate distributions. The relationship of this distribution to the exchangeable special case is explored, and two applications are discussed.
Citation
Joseph B. Kadane. "Sums of Possibly Associated Bernoulli Variables: The Conway–Maxwell-Binomial Distribution." Bayesian Anal. 11 (2) 403 - 420, June 2016. https://doi.org/10.1214/15-BA955
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