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A characterization by linearity of the regression function based on order statistics

✍ Scribed by N. Balakrishnan; I.S. Akhundov

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
179 KB
Volume
63
Category
Article
ISSN
0167-7152

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✦ Synopsis

We consider an inΓΏnite sequence X 1 ; X 2 ; : : : of independent random variables having a common continuous distribution function F(x). For 1 6 i 6 n, let {X i:n } denote the ith order statistic among X 1 ; : : : ; X n . In this paper, we characterize the distributions for which the regression E((X

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