Bayesian inference for Rayleigh distribution under hybrid censoring

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• 作者：A. Asgharzadeh ; M. Azizpour
• 刊名：International Journal of Systems Assurance Engineering and Management
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：7
• 期：3
• 页码：239-249
• 全文大小：499 KB
• 刊物类别：Engineering
• 刊物主题：Operating Procedures and Materials Treatment
  Quality Control, Reliability, Safety and Risk
  
• 出版者：Springer India
• 卷排序：7

文摘

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.KeywordsBayesian estimationHybrid censoringBayesian predictionRayleigh distribution