Bayesian analysis of type-I right censored data using the 3-component mixture of Burr distributions

Authors

1 Department of Statistics, Government College University, Faisalabad 38000, Pakistan

2 Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan

3 Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan

Abstract

This study is concerned with the problem of estimating the parameters of a 3-component mixture of Burr distributions using type-I right censored data.The closed form expressions for the Bayes estimators and their posterior risks assuming the non-informative (uniform and Jeffreys’) priors under squared error loss function, precautionary loss function and DeGroot loss function are derived.Performance of the Bayes estimators for different sample sizes, test termination times(a point of time after which all other tests are terminated)and parametric values under different loss functions is investigated. The posterior predictive distribution for a future observation and the Bayesian predictive interval are constructed. In addition, the limiting expressions for the Bayes estimatorsand posterior risks are derived.Simulated data sets are designed for thecomparisons and the model is finally illustrated using the real data.

Keywords

Scientia Iranica
Volume 23, Issue 5 - Serial Number 5
Transactions on Industrial Engineering (E)
October 2016
Pages 2374-2390

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History

  • Receive Date: 26 September 2015
  • Revise Date: 21 December 2024
  • Accept Date: 27 July 2017

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