Prior Sample Size Extensions for Assessing Prior Impact and Prior-Likelihood Discordance
用扩展先验样本量评估先验影响及先验—似然不协调
Abstract This paper outlines a framework for quantifying the prior’s contribution to posterior inference in the presence of prior-likelihood discordance, a broader concept than the usual notion of prior-likelihood conflict. We achieve this dual purpose by extending the classic notion of prior sample size, M, in three directions: (I) estimating M beyond conjugate families; (II) formulating M as a relative notion that is as a function of the likelihood sample size k, M(k),…