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Inferences for Stress-Strength Reliability Model in the Presence of Partially Accelerated Life Test to Its Strength
Rashad M El-Sagheer1, Ahlam H Tolba2, Taghreed M Jawa3
1Mathematics Department, Faculty of Science, Al-Azhar University, Naser City 11884, Cairo, Egypt.
Abstract:
We focus on estimating the stress-strength reliability model when the strength variable is subjected to the step-stress partially accelerated life test. Based on the assumption that both stress and strength random variables follow Weibull distribution with a common first shape parameter, the inferences for this reliability system are constructed. The maximum likelihood, two parametric bootstraps, and Bayes estimates are obtained. Moreover, approximate confidence intervals, asymptotic variance-covariance matrix, and highest posterior density credible intervals are derived. A simulation study and application to real-life data are conducted to compare the proposed estimation methods developed here and also check the accuracy of the results.
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