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Nonparametric predictive inference for future order statistics.

Coolen, F.P.A. and Coolen-Maturi, T. and Alqifari, H.N. (2018) 'Nonparametric predictive inference for future order statistics.', Communications in statistics : theory and methods., 47 (10). pp. 2527-2548.

Abstract

This paper presents nonparametric predictive inference for future order statistics. Given data consisting of n real-valued observations, m future observations are considered and predictive probabilities are presented for the r-th ordered future observation. In addition, joint and conditional probabilities for events involving multiple future order statistics are presented. The paper further presents the use of such predictive probabilities for order statistics in statistical inference, in particular considering pairwise and multiple comparisons based on two or more independent groups of data.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1080/03610926.2017.1342834
Publisher statement:This is an Accepted Manuscript of an article published by Taylor & Francis Group in Communications in Statistics - Theory and Methods on 23/10/2017, available online at: http://www.tandfonline.com/10.1080/03610926.2017.1342834
Date accepted:05 June 2017
Date deposited:30 May 2017
Date of first online publication:23 October 2017
Date first made open access:23 October 2018

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