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Bayesian inference for Rayleigh distribution under hybrid censoring

  • A. Asgharzadeh
  • M. Azizpour
Original Article

Abstract

In this paper, and based on a hybrid censored sample from a Rayleigh distribution, Bayes estimators and highest posterior density credible intervals are obtained for the unknown parameter, and some lifetime parameters such as the reliability and hazard rate functions. Bayes estimators are obtained using squared error and linear–exponential loss functions. We also obtain the Bayes predictive estimator and %95 prediction interval for future observations. Finally, a numerical example is given to illustrate the application of the results and Monte Carlo simulations are performed to compare the performances of the different methods.

Keywords

Bayesian estimation Hybrid censoring Bayesian prediction Rayleigh distribution 

Mathematics Subject Classification

62N01 62M20 62F15 

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Copyright information

© The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2014

Authors and Affiliations

  1. 1.Department of StatisticsUniversity of MazandaranBabolsarIran

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