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ISSN : 1026-3098
e-ISSN : 2345-3605
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Publication Information : Volume 23 - Number 5 - Successive Number 5
Type : Article
Topics of Paper : Transaction on Industrial Engineering
English Title : Bayesian analysis of type-I right censored data using the 3-component mixture of Burr distributions
English 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.
English Keywords : Bayesian analysis; Burr distribution; Uniform and Jeffreys’ priors; Posterior risk; Predictive interval; Censored data
Refrences :
Number Of Pages :
From 2374 to 2390


Authors :
The AuthorAuthor SequenceOrganizationOrganization ( english )AffiliationEmailEducation
M. Tahir
(Author)
1Department of Statistics, Government College University, Faisalabad 38000, Pakistan    
M. Aslam 2Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan    
Z. Hussain 3Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan    
Published Issues
2017
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Industrial Engineering
2016
2015
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2014
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2013
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology

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