Sharif University of TechnologyScientia Iranica1026-309823520161001Bayesian analysis of type-I right censored data using the 3-component mixture of Burr distributionsBayesian analysis of type-I right censored data using the 3-component mixture of Burr distributions23742390396310.24200/sci.2016.3963ENM.TahirDepartment of Statistics, Government College University, Faisalabad 38000, PakistanM.AslamDepartment of Mathematics and Statistics, Riphah International University, Islamabad 44000, PakistanZ.HussainDepartment of Statistics, Quaid-i-Azam University, Islamabad 44000, PakistanJournal Article20150926This 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 Jeffreysâ€™) 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.http://scientiairanica.sharif.edu/article_3963_7dd0f4e2e69d3fb25560909b67aa92d8.pdf