Asymptotic properties of bivariate random extremes

被引：27

作者：

Barakat, HM ^{[1
]}

机构：

[1] ZAGAZIG UNIV,FAC SCI,DEPT MATH,ZAGAZIG,EGYPT

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1997年 / 61卷 / 02期

关键词：

order statistics; weak convergence; bivariate extremes; sample of random size;

D O I：

10.1016/S0378-3758(96)00157-7

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：

The class of limit distribution functions (d.f.s) of bivariate extremes order statistics with random sample size, which is independent of all basic random variables (r.v.s), is fully characterized. Necessary and sufficient conditions, as well as, the domains of attraction of the limit d.f.s are obtained. Furthermore, when the interrelation of the random size and the basic r.v.s is not restricted, sufficient conditions of the convergence and the forms of the limit d.f.s are deduced.

引用

页码：203 / 217

页数：15

共 16 条

[1]

Arnold B. C., 1992, Records

[2] ON THE LIMIT DISTRIBUTION OF THE EXTREMES OF A RANDOM NUMBER OF INDEPENDENT RANDOM-VARIABLES [J].