关于Hsler-Reiss分布的一点注记

A NOTE ON HSLER-REISS DISTRIBUTION

本文研究了服从二元二项分布的随机向量序列的极值分布问题.利用构造性的方法,证明了服从二元二项分布的随机向量序列之极值依分布收敛到Hsler-Reiss 分布, 将已有结论推广到离散情形.

In this article,the extreme value distribution of bivariate binomial variables is studied.We prove that the extremes of bivariate binomial variables converge to Hsler-Reiss distribution in distribution by the method of construction.The result extends the existing result to the discrete case.