Optimal test plan of Step-stress model of alpha power weibull lifetimes under progressively type-II censored samples
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
In this study, the estimation of the unknown parameters of an alpha power Weibull
(APW) distribution using the concept of an optimal strategy for the step-stress accelerated life
testing (SSALT) is investigated from both classical and Bayesian viewpoints. We used progressive
type-II censoring and accelerated life testing to reduce testing time and costs, and we used
a cumulative exposure model to examine the impact of various stress levels. A log-linear relation
between the scale parameter of the APW distribution and the stress model has been proposed. Maximum
likelihood estimators for model parameters, as well as approximation and bootstrap confidence
intervals (CIs), were calculated. Bayesian estimation of the parameter model was obtained
under symmetric and asymmetric loss functions. An optimal test plan was created under typical
operating conditions by minimizing the asymptotic variance (AV) of the percentile life. The simulation
study is discussed to demonstrate the model’s optimality. In addition, real-world data are
evaluated to demonstrate the model’s versatility.
Description
Keywords
accelerated life testing; step-stress loading; progressively type-II censored samples; alpha power Weibull distribution; interval estimation; optimal design