2014/04/07 by Joseph B. Kadane, Kadane, Joseph B.
Economics, Econometrics and Finance · Mathematics · #Advanced Statistical Methods and Models #FOS: Computer and information sciences #Financial Risk and Volatility Modeling #Methodology (stat.ME) #Statistical Distribution Estimation and Applications
paper · pdf · doi:10.48550/arxiv.1404.1856
openalex publication_date 2014/04/07 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28
The study of sums of possibly associated Bernoulli random variables has been\nhampered by an asymmetry between positive correlation and negative correlation.\nThe Conway-Maxwell Binomial (COMB) distribution and its multivariate extension,\nthe Conway-Maxwell Multinomial (COMM) distribution, gracefully model both\npositive and negative association. Sufficient statistics and a family of proper\nconjugate distributions are found. The relationship of this distribution to the\nexchangeable special case is explored, and two applications are discussed.\n