Limiting the Risk of Bayes and Empirical Bayes Estimators, Part II: The Empirical Bayes Case.

Bradley Efron, Carl N. Morris

ResearchPublished 1971

Introduces modifications of Bayes and empirical Bayes estimators which do nearly as well as their prototypes when the assumptions about the a priori information are valid, but which are not subject to the gross errors of their prototypes when a priori information is misleading. This problem is discussed in the context of simultaneous estimation of the means of several normal distributions, each of the means being taken from the same unknown a priori distribution. Several tables and figures contain values needed for application of the procedures. Some simple applications illustrate the methods. 80 pp. Ref. (Author)

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1971
  • Pages: 80
  • Document Number: R-647-PR

Citation

Chicago Manual of Style

Efron, Bradley and Carl N. Morris, Limiting the Risk of Bayes and Empirical Bayes Estimators, Part II: The Empirical Bayes Case. Santa Monica, CA: RAND Corporation, 1971. https://www.rand.org/pubs/reports/R647.html.
BibTeX RIS

This publication is part of the RAND report series. The report series, a product of RAND from 1948 to 1993, represented the principal publication documenting and transmitting RAND's major research findings and final research.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.