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Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples

Author

Listed:
  • Li, Xiuchun
  • Shi, Yimin
  • Wei, Jieqiong
  • Chai, Jian

Abstract

Based on progressively Type-II censored samples, the empirical estimators of reliability performances for Burr XII distribution are researched under LINEX error loss. Firstly, we obtain the Bayes estimators of the reliability performances. Secondly, different from the predecessor, the empirical Bayes estimators of the reliability performances are derived where hyper-parameter is estimated using maximum likelihood method. In the end, in order to investigate the accuracy of estimations, an illustrative example is examined numerically by means of Monte-Carlo simulation.

Suggested Citation

  • Li, Xiuchun & Shi, Yimin & Wei, Jieqiong & Chai, Jian, 2007. "Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(5), pages 320-326.
    • Handle: RePEc:eee:matcom:v:73:y:2007:i:5:p:320-326
    DOI: 10.1016/j.matcom.2006.05.002
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    Citations

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    Cited by:

    1. Lee, Wen-Chuan & Wu, Jong-Wuu & Hong, Ching-Wen, 2009. "Assessing the lifetime performance index of products from progressively type II right censored data using Burr XII model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2167-2179.
    2. Wang, Liang & Shi, Yimin, 2012. "Reliability analysis based on progressively first-failure-censored samples for the proportional hazard rate model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(8), pages 1383-1395.
    3. Shuo-Jye Wu & Syuan-Rong Huang, 2010. "Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint," Statistical Papers, Springer, vol. 51(2), pages 431-443, June.
    4. Gunasekera, Sumith, 2018. "Inference for the Burr XII reliability under progressive censoring with random removals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 182-195.
    5. Barranco-Chamorro, I. & Luque-Calvo, P.L. & Jiménez-Gamero, M.D. & Alba-Fernández, M.V., 2017. "A study of risks of Bayes estimators in the generalized half-logistic distribution for progressively type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 130-147.

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