Estimation and Optimal Design in Step-Stress Partially Accelerated Life Test Plans for Pareto Distribution of the Second Kind with Type-II Censoring
by
Abdalla A. Abdel-Ghaly,
Eman H. El-Khodary,
Ali A. Ismail
.
Abstract:
This paper considers simple time-step-stress Partially Accelerated Life Testing (PALT). The lifetimes of test items are assumed to follow a two-parameter Pareto lifetime distribution of the second kind. The experiment is subject to type-II censoring. Maximum likelihood estimates (MLE) of PALT model parameters are obtained. Also, confidence interval estimation of the parameters is presented. Moreover, optimum plans for simple time-step-stress PALT are developed. Such plans minimize the generalized asymptotic variance (GAV) of the MLE of the model parameters. For illustration, numerical examples are presented.
Key Words:
Reliability; Pareto distribution; partial acceleration; stress level; maximum likelihood estimation; Fisher information matrix; optimal design; simple time-step stress tests; type-II censoring
Authors:
Abdalla A. Abdel-Ghaly,
AurhorN2,
Ali A. Ismail, aismail100@yahoo.com
Editor:
Ayman S.M. Baklizi, A.baklizi@qu.edu.qa
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