Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Design of Step-Stress Accelerated Life Tests for Weibull Distributions with a Nonconstant Shape Parameter

  • Kim, C. M. (Department of Industrial Engineering, Korea Advanced Institute of Science and Technology) ;
  • D. S. Bai (Department of Industrial Engineering, Korea Advanced Institute of Science and Technology)
  • Published : 1999.12.01
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Abstract

This paper considers the design of step-stress accelerated life tests for the Weibull distribution with a nonconstant shape parameter under Type I censoring. It is assumed that scale and shape parameters are log-linear functions of (possibly transformed) stress and that a cumulative exposure model holds for the effect of changing stress. The asymptotic variance of the maximum likelihood estimator of a stated quantile at design stress is used as an optimality criterion. The optimum three step-stress plans are presented for selected values of design parameters and the effects of errors in pre- estimates of the design parameters are investigated.

Keywords

References

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