Propriety conditions for the Bayesian autologistic model - Inference for histone modifications

J Stat Theory Pract. 2013;7(2):248-258. doi: 10.1080/15598608.2013.772838.

Abstract

Motivated by inference for a set of histone modifications we consider an improper prior for an autologistic model. We state sufficient conditions for posterior propriety under a constant prior on the coefficients of an autologistic model. We use known results for a multinomial logistic regression to prove posterior propriety under the autologistic model. The conditions are easily verified.

Keywords: Autologistic; Bayesian; Identifiability; Propriety.