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Optimal bivariate step-stress accelerated life test for Type-I hybrid censored data
Abstract:This paper presents a step-stress accelerated life test for two stress variables to obtain optimal hold times under a Type-I hybrid censoring scheme. An exponentially distributed life and a cumulative exposure model are assumed. The maximum-likelihood estimates are given, from which the asymptotic variance and the Fisher information matrix are obtained. The optimal test plan is determined for each combination of stress levels by minimizing the asymptotic variance of reliability estimate at a typical operating condition. Finally, simulation results are discussed to illustrate the proposed criteria. Simulation results show that the proposed optimum plan is robust, and the initial estimates have a small effect on optimal values.
Keywords:accelerated life test  step-stress  cumulative exposure model  maximum-likelihood estimator  Type-I hybrid censoring  Fisher information matrix
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