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Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint

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Abstract

This article discusses a life test under progressive type-I group-censoring. We use maximum likelihood method to obtain the point and interval estimators of the parameter of lifetime distribution. In order to obtain a precise estimate of mean life, one needs to design an optimal life test. Thus, this article proposes an approach to determine the number of test units, number of inspections, and length of inspection interval of a life test under a pre-determined budget of experiment such that the asymptotic variance of estimator of mean life is minimum. The method will be applied to two numerical examples and the sensitivity analysis will be investigated.

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Authors and Affiliations

  1. Department of Statistics, Tamkang University, Tamsui, Taipei, 251, Taiwan, ROC

    Shuo-Jye Wu

  2. Graduate Institute of Management Sciences, Tamkang University, Tamsui, Taipei, 251, Taiwan, ROC

    Syuan-Rong Huang

Authors
  1. Shuo-Jye Wu
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  2. Syuan-Rong Huang
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Correspondence to Shuo-Jye Wu.

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Wu, SJ., Huang, SR. Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint. Stat Papers 51, 431–443 (2010). https://doi.org/10.1007/s00362-009-0212-1

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  • DOI: https://doi.org/10.1007/s00362-009-0212-1

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