On the rate of convergence of maxima for the generalized Maxwell distribution

被引：0

作者：

Huang, Jianwen ^{[1
]}

Wang, Jianjun ^{[1
]}

Luo, Guowang ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China

[2] Zunyi Normal Coll, Sch Math, Zunyi, Peoples R China

来源：

STATISTICS | 2017年 / 51卷 / 05期

关键词：

Extreme value distribution; generalized Maxwell distribution; maximum; uniform convergence rate; Primary: 60F15; Secondary: 60G70; EXTREME-VALUE THEORY; POWER NORMALIZATION;

D O I：

10.1080/02331888.2017.1307376

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let [X-n,n >= 1] be a sequence of independent and identically distributed random variables with common distribution F following the generalized Maxwell distribution. In this paper, we obtain the exact uniform convergence rate of the distribution of the maximum to its extreme value distribution.

引用

页码：1105 / 1117

页数：13

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