Skip Navigation

Biometrika 1975 62(3):585-593; doi:10.1093/biomet/62.3.585
© 1975 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 HOLLANDER, M.
Right arrow Articles by PROSCHAN, F.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Tests for the mean residual life

MYLES HOLLANDER and FRANK PROSCHAN

Department of Statistics, Florida State University Tallahassee

In this paper we develop tests for alternatives representing decreasing mean residual life and the property ‘new better than used in expectation’. The decreasing mean residual life test statistic, V*, is new, and critical constants and a large-sample approximation are obtained to make the test readily applicable. The new better than used in expectation statistic, K*, is shown to be equivalent to the total time on test statistic; the latter is ordinarily viewed as a test statistic for alternatives of increasing failure rate. Consistency and asymptotic relative efficiency results are obtained for the tests based on V* and K*. These results lead to a reinterpretation of the total time on test statistic as a test statistic for classes of alternatives larger than the increasing failure rate class and including the ‘new better than used in expectation’ class.

Key Words: Decreasing mean residual life • Increasing failure rate • Inference for life distributions • Linear functions of order statistics • New better than used in expectation • Reliability • Total time on test statistic


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.