Probability Matching Priors: Higher Order Asymptotics

ISBN-13: 9780387203294 / Angielski / Miękka / 2004 / 127 str.

Gauri Sankar Datta; Rahul Mukerjee

Opis

Probability matching priors, ensuring frequentist validity of posterior credible sets up to the desired order of asymptotics, are of substantial current interest. They can form the basis of an objective Bayesian analysis. In addition, they provide a route for obtaining accurate frequentist confidence sets, which are meaningful also to a Bayesian. This monograph presents, for the first time in book form, an up-to-date and comprehensive account of probability matching priors addressing the problems of both estimation and prediction. Apart from being useful to researchers, it can be the core of a one-semester graduate course in Bayesian asymptotics. Gauri Sankar Datta is a professor of statistics at the University of Georgia. He has published extensively in the fields of Bayesian analysis, likelihood inference, survey sampling, and multivariate analysis. Rahul Mukerjee is a professor of statistics at the Indian Institute of Management Calcutta. He co-authored three other research monographs, including "A Calculus for Factorial Arrangements" in this series. A fellow of the Institute of Mathematical Statistics, Dr. Mukerjee is on the editorial boards of several international journals.

Recenzje

"...This monograph will likely prove valuable in promoting probability matching priors among the practitioners and applied statisticians." Journal of the American Statistical Association, March 2006

Spis treści

Introduction and the Shrinkage Argument * Matching Priors for Posterior Quantiles * Matching Priors for Distribution Functions * Matching Priors for Highest Posterior Density Regions * Matching Priors for Other Credible Regions * Matching Priors for Prediction