Advances in Decision Sciences
Volume 2012 (2012), Article ID 764254, 12 pages
Review Article

A Note on the Comparison of the Bayesian and Frequentist Approaches to Estimation

Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1653, USA

Received 10 April 2012; Accepted 24 September 2012

Academic Editor: C. D. Lai

Copyright © 2012 Andrew A. Neath and Natalie Langenfeld. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Samaniego and Reneau presented a landmark study on the comparison of Bayesian and frequentist point estimators. Their findings indicate that Bayesian point estimators work well in more situations than were previously suspected. In particular, their comparison reveals how a Bayesian point estimator can improve upon a frequentist point estimator even in situations where sharp prior knowledge is not necessarily available. In the current paper, we show that similar results hold when comparing Bayesian and frequentist interval estimators. Furthermore, the development of an appropriate interval estimator comparison offers some further insight into the estimation problem.