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Confidence Interval Estimation in the Inverse Power Law Model

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  • J. F. Lawless

Abstract

Estimation and prediction procedures are discussed for the inverse power law model, when the time to failure follows an exponential distribution. In the context of accelerated life test experiments, procedures are given for estimating the parameters in the power law model, and for estimating mean life at a given future stress level. The procedures given are conditional confidence interval procedures, obtained by conditioning on ancillary statistics. A comparison is made of these procedures and procedures based on asymptotic properties of the maximum likelihood estimates.

Suggested Citation

  • J. F. Lawless, 1976. "Confidence Interval Estimation in the Inverse Power Law Model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 25(2), pages 128-138, June.
    • Handle: RePEc:bla:jorssc:v:25:y:1976:i:2:p:128-138
    DOI: 10.2307/2346681
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    Cited by:

    1. Uttam Bandyopadhyay & Atanu Biswas & Rahul Bhattacharya, 2010. "A covariate‐adjusted adaptive design for two‐stage clinical trials with survival data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 64(2), pages 202-226, May.

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