Estimation and Testing Procedures for the Reliability Functions of a Family of Lifetime Distributions

by AjitChaturvedi and TarunaKu.

Abstract: A family of lifetime distributions is considered, which covers many lifetime distributions as specific cases. Two measures of reliability are considered, R(t) = P(X > t) and P = P(X > Y). Point estimation and testing procedures are developed for R(t) and P under type II and type I censorings. Three types of point estimators are considered (i) uniformly minimum variance unbiased estimators (UMVUES) (ii) maximum likelihood estimators (MLES) and (iii) invariantly optimal estimators (IOES). A new technique of obtaining these estimators is introduced. A comparative study of different methods of estimation is done. Testing procedures are developed for the hypotheses related to different parametric functions.

Key Words: Family of lifetime distributions; point estimation; testing procedures; type I and type II censorings

Authors:
Ajit Chaturvedi, ajitc2001@yahoo.co.in
Taruna Kumari,

Editor: Tiwari, Neeraj, kumarn_amo@yahoo.com

READING THE ARTICLE: You can read the article in portable document (.pdf) format (334061 bytes.)
If you have any comments or for further discussion, contact an author.

NOTE: The content of this article is the intellectual property of the authors, who retains all rights to future publication.

This page has been accessed 484 times since APRIL 19, 2015.


Return to the InterStat Home Page.