Semi‐ and Non‐parametric Bayesian Analysis of Duration Models with Dirichlet Priors: A Survey
Jean‐Pierre Florens, M. Mouchart, J.‐M. Rolin · International Statistical Review · 1999
Summary The object of this paper is to review the main results obtained in semi‐ and non‐parametric Bayesian analysis of duration models. Standard nonparametric Bayesian models for independent and identically distributed observations are reviewed in line with Ferguson's pioneering papers. Recent results on the characterization of Dirichlet processes and on nonparametric treatment of censoring and of heterogeneity in the context of mixtures of Dirichlet processes are also discussed. The final section considers a Bayesian semiparametric version of the proportional hazards model.