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New Aspects of Rayleigh Distribution under Progressive First-Failure Censoring Samples |
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PP: 785-796 |
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doi:10.18576/amis/120413
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Author(s) |
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Tahani A. Abushal,
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Abstract |
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| This article considers the problem of estimating the unknown parameters of the compound Rayleigh distribution with
progressive first-failure censoring scheme during step-stress partially accelerated life tests (ALT). Progressive first-failure censoring
and accelerated life testing are performed to decrease the duration of testing and to lower test expenses. The maximum likelihood
estimators (MLEs) and Bayes estimates (BEs) for the distribution parameters and acceleration factor are obtained. The optimal time
for stress change is determined. Furthermore, the approximate, bootstrap and credible confidence intervals (CIs) of the parameters are
derived. Methods of Markov chain Monte Carlo (MCMC) are used to obtain the Bayes estimates. Finally, the accuracy of the MLEs
and BEs for the model parameters is investigated through simulation studies. |
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