Convergence of random extremal quotient and product

被引：9

作者：

Barakat, HM ^{[1
]}

Nigm, EM ^{[1
]}

机构：

[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1999年 / 81卷 / 02期

关键词：

weak convergence; random indices; random extremal quotient; random extremal product;

D O I：

10.1016/S0378-3758(99)00012-9

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 limit distribution functions are obtained for the extremal quotient, extremal product and the geometric range with random indices under nonrandom centering and normalization. Moreover, this paper considers the conditions under which the cases of random and nonrandom indices give the same asymptotic results. Some illustrative examples are given. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：209 / 221

页数：13

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