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  • 标题:Sums of Possibly Associated Bernoulli Variables: The Conway–Maxwell-Binomial Distribution
  • 本地全文:下载
  • 作者:Joseph B. Kadane
  • 期刊名称:Bayesian Analysis
  • 印刷版ISSN:1931-6690
  • 电子版ISSN:1936-0975
  • 出版年度:2016
  • 卷号:11
  • 期号:2
  • 页码:403-420
  • DOI:10.1214/15-BA955
  • 语种:English
  • 出版社:International Society for Bayesian Analysis
  • 摘要: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.
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