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PLEASE SCROLL DOWN FOR ARTICLE This article was downloaded by: [Pennsylvania State University] On: 13 May 2009 Access details: Access Details: [subscription number 788742278] Publisher Taylor & Francis Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK Communications in Statistics - Theory and Methods Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713597238 A Note on the Regression of Order Statistics Mohammad Khanjari Sadegh a a Department of Statistics, University of Birjand, Birjand, Iran Online Publication Date: 01 January 2008 To cite this Article Sadegh, Mohammad Khanjari(2008)'A Note on the Regression of Order Statistics',Communications in Statistics - Theory and Methods,37:4,475 — 480 To link to this Article: DOI: 10.1080/03610920701669751 URL: http://dx.doi.org/10.1080/03610920701669751 Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material.
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Communications in Statistics—Theory and Methods , 37: 475–480, 2008 Copyright © Taylor & Francis Group, LLC ISSN: 0361-0926 print/1532-415X online DOI: 10.1080/03610920701669751 Ordered Data Analysis A Note on the Regression of Order Statistics MOHAMMAD KHANJARI SADEGH Department of Statistics, University of Birjand, Birjand, Iran This paper examines the relationships between the mean residual life functions of parallel and k -out-of- n systems with the regression of order statistics. Using these relationships, the results and properties about the mean residual life function of those systems can be used for the regression of order statistics and vice versa. Finally, the paper proposes a definition for the mean residual life function of a k -out-of- n system when the number of failed components of the system is known. Keywords k -out-of- n system; Mean residual life function; Order statistics; Parallel system; Regression. Mathematics Subject Classification Primary 62N05; Secondary 90B25. 1. Introduction Consider a system A consisting of n identical and independent components. Let T i , i = 1 2 n be the lifetime of the component i , such that T 1 T 2 T n are independent, identically distributed random variables with continuous distribution function F and probability density function f . Let T 1 n T 2 n T n n be the ordered statistics corresponding to T i , i = 1 2 n . It is known that
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