{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

RegrOnOrderStat

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern