Professor of Statistics Natesh Pillai of Harvard University discusses the efficiency of Bayesian procedures and the frequentist-Bayes connection in some high-dimensional problems as part of the SSC Seminar Series.
Pillai will present four examples. The first two involve constructing shrinkage priors and understanding their properties and comparing them with their frequentist analogues. The third example entails the validity of a model selection procedure called ABC, widely used by biologists. All of these examples illustrate the need for more careful research on the efficiency and even validity of these widely used methods.