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

共 50 条

[1] Numerical Convergence of the Block-Maxima Approach to the Generalized Extreme Value Distribution
Davide Faranda
Valerio Lucarini
Giorgio Turchetti
Sandro Vaienti
Journal of Statistical Physics, 2011, 145 : 1156 - 1180
[2] Numerical Convergence of the Block-Maxima Approach to the Generalized Extreme Value Distribution
Faranda, Davide
Lucarini, Valerio
Turchetti, Giorgio
Vaienti, Sandro
JOURNAL OF STATISTICAL PHYSICS, 2011, 145 (05) : 1156 - 1180
[3] A MODIFIED WEIBULL HAZARD RATE AS GENERATOR OF A GENERALIZED MAXWELL DISTRIBUTION
Voda, Viorel Gh
MATHEMATICAL REPORTS, 2009, 11 (02): : 171 - 179
[4] GENERALIZED MAXWELL DISTRIBUTION
GITNIK, AP
TELECOMMUNICATIONS AND RADIO ENGINEER-USSR, 1969, (04): : 134 - &
[5] Convergence rate of maxima of bivariate Gaussian arrays to the Husler-Reiss distribution
Liao, Xin
Peng, Zuoxiang
STATISTICS AND ITS INTERFACE, 2014, 7 (03) : 351 - 362
[6] Estimation of Convergence Rate in the Transfer Theorem for Maxima
Aksomaitis, A.
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2008, 13 (01): : 3 - 7
[7] Convergence rate of extremes from Maxwell sample
Liu, Chuandi
Liu, Bao
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[8] Convergence rate of extremes from Maxwell sample
Chuandi Liu
Bao Liu
Journal of Inequalities and Applications, 2013
[9] CONVERGENCE RATE OF EXTREMES FOR THE GENERALIZED SHORT-TAILED SYMMETRIC DISTRIBUTION
Lin, Fuming
Peng, Zuoxiang
Yu, Kaizhi
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (05) : 1549 - 1566
[10] Tail behavior of the generalized Maxwell distribution
Huang, Jianwen
Chen, Shouquan
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (14) : 4230 - 4236

← 1 2 3 4 5 →