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Probability Matching Priors: Higher Order Asymptotics

  • Book
  • © 2004

Overview

  • The first book on the topic of probability matching priors

Part of the book series: Lecture Notes in Statistics (LNS, volume 178)

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Table of contents (6 chapters)

Keywords

About this book

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.

 

 

Reviews

"...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

Authors and Affiliations

  • Department of Statistics, University of Georgia, Athens, USA

    Gauri Sankar Datta

  • Indian Institute of Management, Calcutta, India

    Rahul Mukerjee

Bibliographic Information

  • Book Title: Probability Matching Priors: Higher Order Asymptotics

  • Authors: Gauri Sankar Datta, Rahul Mukerjee

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-2036-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 2004

  • Softcover ISBN: 978-0-387-20329-4Published: 08 January 2004

  • eBook ISBN: 978-1-4612-2036-7Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: X, 127

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Statistical Theory and Methods, Probability Theory and Stochastic Processes, Econometrics

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