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

N. Balakrishnan and I. S. Akhundov

Statistics & Probability Letters, 2003, vol. 63, issue 4, 435-440

Abstract: We consider an infinite sequence X1,X2,... of independent random variables having a common continuous distribution function F(x). For 1[less-than-or-equals, slant]i[less-than-or-equals, slant]n, let {Xi:n} denote the ith order statistic among X1,...,Xn. In this paper, we characterize the distributions for which the regression E((X1:n+...+Xn:n)/nXk:n=x) is a linear function of x.

Keywords: Order; statistics; Regression; function; Characterization (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (5)

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