Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme
Joint Authors
Singh, Umesh
Sharma, Vikas Kumar
Singh, Sanjay Kumar
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-11
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We have developed the Bayesian estimation procedure for flexible Weibull distribution under Type-II censoring scheme assuming Jeffrey's scale invariant (noninformative) and Gamma (informative) priors for the model parameters.
The interval estimation for the model parameters has been performed through normal approximation, bootstrap, and highest posterior density (HPD) procedures.
Further, we have also derived the predictive posteriors and the corresponding predictive survival functions for the future observations based on Type-II censored data from the flexible Weibull distribution.
Since the predictive posteriors are not in the closed form, we proposed to use the Monte Carlo Markov chain (MCMC) methods to approximate the posteriors of interest.
The performance of the Bayes estimators has also been compared with the classical estimators of the model parameters through the Monte Carlo simulation study.
A real data set representing the time between failures of secondary reactor pumps has been analysed for illustration purpose.
American Psychological Association (APA)
Singh, Sanjay Kumar& Singh, Umesh& Sharma, Vikas Kumar. 2013. Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-449379
Modern Language Association (MLA)
Singh, Sanjay Kumar…[et al.]. Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme. Journal of Probability and Statistics No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-449379
American Medical Association (AMA)
Singh, Sanjay Kumar& Singh, Umesh& Sharma, Vikas Kumar. Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-449379
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449379