title: Propriety conditions for the Bayesian autologistic model - Inference for histone modifications.
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.
authors.affiliation: ICES, University of Texas at Austin, USA.
authors.forename: Riten
authors.initials: R
authors.lastname: Mitra
authors.affiliation: Department of Mathematics, University of Texas at Austin, USA.
authors.forename: Peter
authors.initials: P
authors.lastname: Müller
authors.affiliation: Center for Clinical and Research Informatics, NorthShore University HealthSystem,USA.
authors.forename: Yuan
authors.initials: Y
authors.lastname: Ji
keywords: Autologistic; Bayesian; Identifiability; Propriety