Exact laws of large numbers for k-th order statistics from the asymmetrical Cauchy distribution

被引：1

作者：

Yang, Wenzhi ^{[1
]}

Ding, Ran ^{[1
]}

Hu, Shuhe ^{[1
]}

Yao, Chunyu ^{[1
]}

机构：

[1] Anhui Univ, Ctr Appl Math, Sch Big Data & Stat, Hefei, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Largest order statistics; k-th order statistics; smallest order statistics; laws of large numbers; infinite mean; RANDOM-VARIABLES; LIMIT-THEOREMS; WEAK LAWS;

D O I：

10.1080/03610926.2022.2148474

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 laws of large numbers are studied from the arrays of asymmetrical Cauchy random variables. Some exact laws of large numbers are obtained for the k-th order statistics, including a weak law and a strong law. It turns out that the weak law cannot extend to a strong law. Our results extend some existing works for independent and dependent cases.

引用

页码：2757 / 2770

页数：14