Translator Disclaimer
VOL. 10 | 2013 Reverse Exchangeability and Extreme Order Statistics
Yindeng Jiang, Michael D. Perlman

Editor(s) Galin Jones, Xiaotong Shen

## 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 $(X_{1},\ldots ,X_{n})$ are also given.

## Information

Published: 1 January 2013
First available in Project Euclid: 23 September 2013

zbMATH: 1320.62110
MathSciNet: MR3586940

Digital Object Identifier: 10.1214/12-IMSCOLL1005