Objective Bayesian reference analysis for the Poisson process model in presence of recurrent events data

Abstract This article applies Bayesian reference analysis, widely considered as the most successful method to produce objective, model-based, posterior distributions, to a problem of inference in survival analysis. A formulation is considered where indi-viduals are expected to experience repeated events, along with concomitant variables. The sampling distribution of the observations is modeled through a proportional in-tensity homogeneous Poisson process