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Optimal sample size allocation for accelerated life test under progressive type-II censoring with competing risks
Authors:Syuan-Rong Huang
Institution:Department of Statistics, Tamkang University, New Taipei City, Taiwan
Abstract:In this article, we study the optimization problem of sample size allocation when the competing risks data are from a progressive type-II censoring in a constant-stress accelerated life test with multiple levels. The failure times of the individual causes are assumed to be statistically independent and exponentially distributed with different parameters. We obtain the estimates of the unknown parameters through a maximum likelihood method, and also derive the Fisher information matrix. We propose three optimization criteria and two search scenarios to obtain the sample size allocation at each stress level. Some numerical results are studied to illustrate the usage of the proposed methods.
Keywords:A-optimality  D-optimality  expected test time  exponential distribution  Fisher information matrix  variance-optimality
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