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Planning step‐stress life test with progressively type I group‐censored exponential data

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  • Shuo‐Jye Wu
  • Ying‐Po Lin
  • Yi‐Ju Chen

Abstract

Accelerated life testing of products is used to get information quickly on their lifetime distributions. This paper discusses a k‐stage step‐stress accelerated life test under progressive type I censoring with grouped data. An exponential lifetime distribution with mean life that is a log‐linear function of stress is considered. A cumulative exposure model is also assumed. We use the maximum likelihood method to obtain the estimators of the model parameters. The methods for obtaining the optimum test plan are investigated using the variance‐optimality and D‐optimality criteria. Some numerical studies are discussed to illustrate the proposed criteria.

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  • Shuo‐Jye Wu & Ying‐Po Lin & Yi‐Ju Chen, 2006. "Planning step‐stress life test with progressively type I group‐censored exponential data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(1), pages 46-56, February.
    • Handle: RePEc:bla:stanee:v:60:y:2006:i:1:p:46-56
    DOI: 10.1111/j.1467-9574.2006.00309.x
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    Cited by:

    1. M. Kateri & U. Kamps & N. Balakrishnan, 2010. "Multi‐sample simple step‐stress experiment under time constraints," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 64(1), pages 77-96, February.
    2. Wu, Shu-Fei & Lin, Ying-Po, 2016. "Computational testing algorithmic procedure of assessment for lifetime performance index of products with one-parameter exponential distribution under progressive type I interval censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 120(C), pages 79-90.
    3. Shu-Fei Wu & Yi-Jun Xie & Mao-Feng Liao & Wei-Tsung Chang, 2021. "Reliability Sampling Design for the Lifetime Performance Index of Gompertz Lifetime Distribution under Progressive Type I Interval Censoring," Mathematics, MDPI, vol. 9(17), pages 1-18, August.
    4. Chien-Tai Lin & Cheng-Chieh Chou & N. Balakrishnan, 2020. "Planning step-stress test plans under Type-I hybrid censoring for the log-location-scale distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(2), pages 265-288, June.
    5. Shu-Fei Wu & Jin-Yang Lu, 2017. "Computational testing algorithmic procedure of assessment for lifetime performance index of Pareto products under progressive type I interval censoring," Computational Statistics, Springer, vol. 32(2), pages 647-666, June.

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