Prediction of order statistics and record values based on ordered ranked set sampling |
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| Authors: | Mahdi Salehi N Balakrishnan |
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| Institution: | 1. Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, PO Box 1159, Mashhad 91775, Iran;2. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K1;3. Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | In this paper, we consider two-sample prediction problems. First, based on ordered ranked set sampling (ORSS) introduced by Balakrishnan and Li Ordered ranked set samples and applications to inference. Ann Inst Statist Math. 2006;58:757–777], we obtain prediction intervals for order statistics from a future sample and compare the results with the one based on the usual-order statistics. Next, we construct prediction intervals for record values from a future sequence based on ORSS and compare the results with the one based on an another independent record sequence developed recently by Ahmadi and Balakrishnan Prediction of order statistics and record values from two independent sequences. Statistics. 2010;44:417–430]. |
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| Keywords: | coverage probability distribution-free prediction interval record data ranked set sampling ordered ranked set sampling |
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