Journal Published Online: 02 January 2019
Volume 48, Issue 6

Bayesian Inference Based on Multiply Type-II Censored Samples of Sequential Order Statistics from Pareto Distribution

CODEN: JTEVAB

Abstract

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.

Author Information

Shafay, A. R.
Department of Nature Science, Community College of Riyadh, King Saud University, Riyadh, Saudi Arabia Department of Mathematics, Fayoum University, Fayoum, Egypt
Sultan, K. S.
Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Egypt
Pages: 16
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Details
Stock #: JTE20170699
ISSN: 0090-3973
DOI: 10.1520/JTE20170699