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Abstract:
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Gamma accelerated degradation tests (ADT) are widely used to assess timely lifetime information of highly reliable products whose degradation path follows a gamma process. In the literature, several papers attempted to address the decision problem of how to conduct an efficient accelerated degradation test which includes the determinations of higher testing-stress levels and their corresponding sample size allocations. The results mainly focused on the case of a single accelerating variable, however, may not practically applicable when the degradation rate of the quality characteristics of the product is slow. To overcome the difficulty, this paper proposes an analytical approach to address this decision problem under the case of two accelerating variables. Specifically, based on the criterion of minimizing the asymptotic variance of the estimated q quantile of product’s lifetime distribution, we analytically show that the optimum stress levels and the optimum sample size allocations can be simultaneously obtained via general equivalence theorem.
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