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Volume 48, Issue 6 (November 2020)
Bayesian Inference Based on Multiply Type-II Censored Samples of Sequential Order Statistics from Pareto Distribution
(Received 29 November 2017; accepted 29 August 2018)
Published Online: 2020
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In this article, Bayesian estimation and prediction are discussed based on multiply Type-II censored samples of sequential order statistics from the Pareto distribution. The posterior distributions are derived, and then the Bayesian estimators, with respect to the squared error loss function, are obtained for the two unknown parameters. Also, the reliability and hazard rate functions are estimated. Next, the Bayesian predictive and survival functions for a future sequential order statistic from the observed samples as well as that from a future unobserved sample from the same population are derived, and then the point and interval predictions are developed. Finally, some numerical results are pointed out for illustrating all the inferential methods developed here.
Shafay, A. R. Department of Mathematics, Fayoum University, Fayoum,
Department of Nature Science, Community College of Riyadh, King Saud University, Riyadh,
Sultan, K. S. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City,
Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh,
Stock #: JTE20170699
Title Bayesian Inference Based on Multiply Type-II Censored Samples of Sequential Order Statistics from Pareto Distribution