Dipartimento di Scienze Statistiche

DSS Statistics Seminar     Sudipto Banerjee   Department of Biostatistics Department of Statistics and Data Science University of California, Los Angeles       In this talk I will offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical models, including some that yield design-based Horvitz-Thompson estimators, the talk proceeds to introduce dependence in finite populations and sets out inferential frameworks for ignorable and nonignorable responses. Multivariate dependencies using graphical models and spatial processes are discussed and some salient features of two recent analyses for spatially oriented finite populations are presented.