Asymptotic Properties of Multivariate Order Statistics with Random Index

被引：3

作者：

Barakat, H. M. ^{[1
]}

Nigm, E. M. ^{[1
]}

Al-Awady, M. A. ^{[1
]}

机构：

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 01期

关键词：

Weak convergence; Random sample size; Multivariate order statistics; ATTRACTION; DOMAINS;

D O I：

10.1007/s40840-014-0019-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The class of limit distribution functions (df's) of multivariate order statistics from independent and identical random vectors with random sample size is fully characterized. Two cases in this study are considered, the first case is when the random sample size is assumed to be independent of all the basic random vectors, and the second case is when the interrelation of the random size and the basic random vectors is not restricted.

引用

页码：289 / 301

页数：13

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[2]

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[3]

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[4]

Barakat H. M., 1996, B MALAYS MATH SCI SO, V19, P39