Bayesian Inference for a Bivariate Binomial Distribution
研究了一种具有二项边际和条件分布的双变量分布,探讨其参数结构,并证明在独立先验设定下可得到共轭贝叶斯先验分布,对微生物学应用有参考价值。
A bivariate distribution is investigated in connection with an application in microbiology. It has binomial marginal and conditional distributions. The parameter structure is examined, and it is shown that a conjugate Bayesian prior distribution arises from prior independence specifications. Under these specifications the usual limiting conjugate prior can be obtained via invariance considerations.