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Inference from Accelerated Life Tests Using Arrhenius Type Re-Parameterizations

 

作者: NozerD. Singpurwalla,  

 

期刊: Technometrics  (Taylor Available online 1973)
卷期: Volume 15, issue 2  

页码: 289-299

 

ISSN:0040-1706

 

年代: 1973

 

DOI:10.1080/00401706.1973.10489043

 

出版商: Taylor & Francis Group

 

关键词: Accelerated Life Testing;Overstress Life Testing;Arrhenius Model;Inference;Relative Likelihood;Plausibility Intervals

 

数据来源: Taylor

 

摘要:

The scale parameter of an exponential distribution is reparameterized as a function of the stress according to the Arrhenius Re-action Rate Model. The location parameter is reparameterized as a linear function of the stress. Maximum likelihood estimators of the parameters of the Arrhenius model and the weighted least squares estimators of the linear model are obtained using data from censored sample accelerated life tests. The asymptotic normality of the maximum likelihood estimators is ascertained by examining the shapes of their maximum relative likelihood functions. The asymptotic normality of the least squares estimators is ascertained by establishing certain criteria for convergence. An unbiased estimator for the mean life of the device at use condition stress μuis obtained. Confidence limits for μu, are difficult to obtain, and alternatively a plausibility interval for μuis obtained.

 

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