MAXIMUM LIKELIHOOD ESTIMATION AND OPTIMAL DESIGN IN STEP PARTIALLY ACCELERATED LIFE TESTS FOR THE PARETO DISTRIBUTION OF THE SECOND KIND WITH TYPE-I CENSORING
Abdalla A. Abdel-Ghaly
Eman H. El-Khodary
Ali A. Ismail
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.
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
Abdalla A. Abdel-GhalyAuthorN1,
Eman H. El-Khodary,
Ali A. Ismail, firstname.lastname@example.org
Sanku Dey, email@example.com
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