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publication name Estimating the Modified Weibull Parameters in Presence of Step-Stress Partially Accelerated Life Testing
Authors Mohamed A. W. Mahmoud, Rashad M. EL-Sagheer, Amr M. Abou-Senna
year 2018
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Abstract

In this paper, assuming that the lifetime of each item under normal condition follows the modi…edWeilbull distribution, partially accelerated life tests based on progressive Type-II censored samples are considered. The likelihood equations are to be solved numer- ically to obtain the maximum likelihood estimates. Based on normal approximation to the asymptotic distribution of maximum likelihood estimates, the approximate con…dence inter- vals for the parameters are derived. It is di¢ cult to get explicit form for Bayes estimates, so Markov chain Monte Carlo method is used to solve this problem, which gives us ‡exi- bility to construct the credible intervals for the parameters. Lindley approximation is also being disscussed to obtain Bayes estimators. Finally, an illustrative example and simulation studies are being considered.

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