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Bayesian estimation of the limiting availability in the presence of right-censored data

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  • Sebastián Román
  • José Romeo
  • Victor Salinas-Torres

Abstract

This work presents a Bayesian approach for estimating the limiting availability of an one-unit repairable system when the data are subject to right censorship. It is assumed that the failure and repair times of the components are independent exponential random variables. A conjugate Bayesian analysis is performed considering an informative and non informative prior distributions. Simulations are presented to study the performance of the Bayesian solutions. Some observations are made in relation to the maximum likelihood method. The Weibull case is also discussed. Copyright Sapienza Università di Roma 2014

Suggested Citation

  • Sebastián Román & José Romeo & Victor Salinas-Torres, 2014. "Bayesian estimation of the limiting availability in the presence of right-censored data," METRON, Springer;Sapienza Università di Roma, vol. 72(3), pages 247-267, October.
    • Handle: RePEc:spr:metron:v:72:y:2014:i:3:p:247-267
    DOI: 10.1007/s40300-014-0037-0
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    References listed on IDEAS

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    1. Mi, Jie, 2006. "Limiting availability of system with non-identical lifetime distributions and non-identical repair time distributions," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 729-736, April.
    2. Sarkar, Jyotirmoy & Chaudhuri, Gopal, 1999. "Availability of a system with gamma life and exponential repair time under a perfect repair policy," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 189-196, June.
    3. W. R. Gilks & P. Wild, 1992. "Adaptive Rejection Sampling for Gibbs Sampling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(2), pages 337-348, June.
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