Nonparametric Bayesian Inference

This book is a compilation ofunpublished papers written byJean-Marie Rolin (withseveral co-authors) onnonparametric bayesian estimation. Jean-Marie was professor ofstatistics atUniversity ofLouvain and died onNovember 5th,2018. He made important contributions in mathematical statistics withapplications todifferent fields likeeconometrics or biometrics.These papers cover a variety oftopics, including: * The Mathematical structure oftheBayesian model and the main concepts (sufficiency, ancillarity, invariance?) * Representation oftheDirichlet processes and oftheassociated Polya urn model and applications tononparametric bayesian analysis. * Contributions toduration models and totheir non parametric bayesian treatment.