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- W2013359665 abstract "Siegel (1993, J. Amer. Statist. Assoc. 88, 77–80) showed that when (X1, …, Xn) have a multivariate normal distribution then Cov(X1, X(1)) = Σni = 1 Cov(X1, Xi)P(Xi = X(1)), where X(1) is the minimum of (X1, …, Xn). We show that a similar result holds for any order statistic. Thus X(1) can be replaced by X(r), the rth order statistic, everywhere in the above formula. Normality is essentially also necessary for this result to hold." @default.
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- W2013359665 date "1994-09-01" @default.
- W2013359665 modified "2023-10-12" @default.
- W2013359665 title "Covariance between variables and their order statistics for multivariate normal variables" @default.
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- W2013359665 doi "https://doi.org/10.1016/0167-7152(94)90223-2" @default.
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