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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