Reverse Exchangeability and Extreme Order Statistics

Tech Report Number
575

 

Abstract.

For a bivariate random vector (X, Y ), symmetry conditions are presented that yield stochastic orderings among |X|, |Y |, | max(X, Y )|, and | min(X, Y )|. Partial extensions of these results for multivariate random vectors (X1, ..., Xn) are also given.

 

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