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.
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Volume (Year): 63 (2003) Issue (Month): 4 (July) Pages: 435-440 Download reference. The following formats are available: HTML
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