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Robust Bayesian analysis of Weibull failure model

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  • Anoop Chaturvedi
  • Manaswini Pati
  • Sanjeev Tomer

Abstract

The main objective of present paper is to consider robust Bayesian analysis of the Weibull failure model under an $$\varepsilon $$ ε -contamination class of priors for the parameters. The Bayes estimators for the mean life, reliability function and failure rate are obtained under the squared error loss function and LINEX loss function. For numerical illustrations we present simulation study and analysis of a real data set by using Gibbs sampler. Copyright Sapienza Università di Roma 2014

Suggested Citation

  • Anoop Chaturvedi & Manaswini Pati & Sanjeev Tomer, 2014. "Robust Bayesian analysis of Weibull failure model," METRON, Springer;Sapienza Università di Roma, vol. 72(1), pages 77-95, April.
    • Handle: RePEc:spr:metron:v:72:y:2014:i:1:p:77-95
    DOI: 10.1007/s40300-013-0027-7
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    References listed on IDEAS

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    1. Richard L. Smith & J. C. Naylor, 1987. "A Comparison of Maximum Likelihood and Bayesian Estimators for the Three‐Parameter Weibull Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 358-369, November.
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