Rates of convergence for bivariate extremes

被引:9
作者
deHaan, L
Peng, L
机构
[1] Erasmus University, Rotterdam
关键词
second order regular variation; extremes; rate of convergence;
D O I
10.1006/jmva.1997.1669
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
Under a second order regular variation condition, rates of convergence of the distribution of bivariate extreme order statistics to its limit distribution are given both in the total variation metric and in the the uniform metric. (C) 1997 Academic Press.
引用
收藏
页码:195 / 230
页数:36
相关论文
共 8 条
[1]  
Bingham N., 1987, ENCY MATH ITS APPL
[2]  
COURANT R, 1961, DIFFERENTIAL INTEGRA, V2
[3]  
deHaan L, 1996, ANN PROBAB, V24, P97
[4]  
Geluk JL., 1987, Regular Variation, Extensions and Tauberian Theorems
[5]   APPROXIMATION RATES FOR MULTIVARIATE EXCEEDANCES [J].
KAUFMANN, E ;
REISS, RD .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1995, 45 (1-2) :235-245
[6]   RATES OF CONVERGENCE IN MULTIVARIATE EXTREME VALUE THEORY [J].
OMEY, E ;
RACHEV, ST .
JOURNAL OF MULTIVARIATE ANALYSIS, 1991, 38 (01) :36-50
[7]  
Reiss R.-D., 1989, APPROXIMATE DISTRIBU
[8]  
Resnick S. I., 2013, EXTREME VALUES REGUL, DOI 10.1007/978-0-387-75953-1