MAXIMUM LIKELIHOOD ESTIMATION AND OPTIMAL DESIGN IN STEP PARTIALLY ACCELERATED LIFE TESTS FOR THE PARETO DISTRIBUTION OF THE SECOND KIND WITH TYPE-I CENSORING

by Abdalla A. Abdel-Ghaly Eman H. El-Khodary Ali A. Ismail .

Abstract: This paper deals with simple time-step stress Partially Accelerated Life Tests (PALT) where a pre-specified censoring time is involved. The time to failure is assumed to have a two-parameter Pareto lifetime distribution of the second kind. Maximum likelihood estimates (MLE) of the PALT model parameters are obtained. In addition, confidence intervals estimation for the parameters is presented. Optimum plans for simple step-stress PALT are also considered. Such plans minimize the generalized asymptotic variance (GAV) of the MLE of the model parameters. For illustration, numerical examples are given.

Key Words: Reliability; Pareto distribution of the second kind; partial acceleration; stress level; maximum likelihood estimation; Fisher information matrix, optimal design; simple time-step stress tests; type-I censoring

Authors:
Abdalla A. Abdel-GhalyAuthorN1,
Eman H. El-Khodary,
Ali A. Ismail, aismail100@yahoo.com

Editor: Sanku Dey, sanku_dey2k2003@yahoo.co.in

READING THE ARTICLE: You can read the article in portable document (.pdf) format (134895 bytes.)

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 2898 times since January 3, 2008.


Return to the InterStat Home Page.