Statistical analysis of accelerated temperature cycling test based on Coffin-Manson model |
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Authors: | Yudong Wang |
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Institution: | School of Statistics, East China Normal University, Shanghai, PR China |
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Abstract: | AbstractThis paper investigates the statistical analysis of grouped accelerated temperature cycling test data when the product lifetime follows a Weibull distribution. A log-linear acceleration equation is derived from the Coffin-Manson model. The problem is transformed to a constant-stress accelerated life test with grouped data and multiple acceleration variables. The Jeffreys prior and reference priors are derived. Maximum likelihood estimation and Bayesian estimation with objective priors are obtained by applying the technique of data augmentation. A simulation study shows that both of these two methods perform well when sample size is large, and the Bayesian method gives better performance under small sample sizes. |
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Keywords: | Coffin-Manson model grouped data data augmentation objective prior |
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