Journal Published Online: 12 September 2018
Volume 48, Issue 2

Shifted Exponential Distribution: Bayesian Estimation, Prediction and Expected Test Time under Progressive Censoring



In this article, we present Bayesian estimation of a shifted exponential distribution assuming progressive type-II censoring with random removals. Bayes estimators and their respective posterior risks are derived under the squared error loss function and the precautionary loss function. Moreover, the credible intervals and expected experiment time along with the Bayesian predictive intervals for one- and two-sample cases are also discussed. A comparison of the expected experiment time under complete and type-II progressive censoring is also a part of this study. Finally, a real-life example is provided to illustrate the proposed methodology.

Author Information

Aslam, Muhammad
Department of Mathematics & Statistics, Riphah International University, Islamabad, Pakistan
Noor, Farzana
Department of Mathematics & Statistics, International Islamic University, Islamabad, Pakistan
Ali, Sajid
Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
Pages: 18
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Stock #: JTE20170593
ISSN: 0090-3973
DOI: 10.1520/JTE20170593