Reverse Exchangeability and Extreme Order Statistics
Statistics Theory
2012-06-22 v1 Statistics Theory
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.
Cite
@article{arxiv.1206.4765,
title = {Reverse Exchangeability and Extreme Order Statistics},
author = {Yindeng Jiang and Michael D. Perlman},
journal= {arXiv preprint arXiv:1206.4765},
year = {2012}
}