Reverse Exchangeability and Extreme Order Statistics

2012/06/21 by Yindeng Jiang, Michael D. Perlman, Jiang, Yindeng +1
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #FOS: Mathematics #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1206.4765

openalex publication_date 2012/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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