On constant stress accelerated life tests terminated by Type II censoring at one of the stress levels

This paper considers constant stress accelerated life tests terminated by a Type II censoring regime at one of the stress levels. We consider a model based on Weibull distributions with constant shape and a log-linear link between scale and the stress factor. We obtain expectations associated with t...

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Bibliographic Details
Published in:Journal of statistical planning and inference 2008-03, Vol.138 (3), p.768-786
Main Authors: Watkins, A.J., John, A.M.
Format: Article
Language:English
Subjects:
Applications
Constant stress accelerated life test
Design stress
Distribution theory
Exact sciences and technology
Expected Fisher information
General topics
Log-linear scale stress relationship
Mathematics
Maximum likelihood
Nonparametric inference
Probability and statistics
Probability theory and stochastic processes
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
Type II censoring
Weibull distribution
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Summary:This paper considers constant stress accelerated life tests terminated by a Type II censoring regime at one of the stress levels. We consider a model based on Weibull distributions with constant shape and a log-linear link between scale and the stress factor. We obtain expectations associated with the likelihood function, and use these to obtain asymptotically valid variances and correlations for maximum likelihood estimates of model parameters. We illustrate their calculation, and assess agreement with observed counterparts for finite samples in simulation experiments. We then use moments to compare the information obtained from variants of the design, and show that, with an appropriate allocation of items to stress levels, the design yields better estimates of model parameters and related quantities than a single stress experiment.
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2007.02.013