Skip Navigation

Biometrika 1974 61(1):137-142; doi:10.1093/biomet/61.1.137
© 1974 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by BLIGHT, B. J. N.
Right arrow Articles by RAO, P. V.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

The convergence of Bhattacharyya bounds

B. J. N. BLIGHT1 and P. V. RAO2

1Department of Statistics Birkbeck College, London
2Department of Statistics, University of Florida Gainesville

Bhattacharyya bounds are considered for the unbiased estimation of a parametric function when the sampling distribution is a member of an exponential family of distributions. It is shown that the Bhattacharyya bounds converge to the variance of the best unbiased estimator. The application of this result to variance determination in demonstrated with examples from the negative binomial distribution and from the exponential distribution in a reliability theory context.

Key Words: Bhattacharyya bounds • Bhattacharyya function • Bhattacharyya matrix • Expomential family • Negative binomial • Reliability function • Unbiased estimation


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.