Some Strong Laws of Large Numbers for Double Arrays of Random Sets with Gap Topology

被引：0

作者：

Nguyen Van Quang ^{[1
]}

Duong Xuan Giap ^{[1
]}

Bui Nguyen Tram Ngoc ^{[2
]}

Hu, Tien-Chung ^{[3
]}

机构：

[1] Vinh Univ, Dept Math, Nghe An, Vietnam

[2] Dong Nai Univ, Dept Primary Sch & Presch, Dong Nai, Vietnam

[3] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

来源：

JOURNAL OF CONVEX ANALYSIS | 2019年 / 26卷 / 03期

关键词：

Random set; gap topology; double array; compactly uniformly integrable in the Cesaro sense; MULTIVALUED STRONG LAW; UNBOUNDED RANDOM SETS; COMPLETE CONVERGENCE; RANDOM ELEMENTS; CONVEX-SETS; THEOREMS; SUMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to state some strong laws of large numbers for a double array of independent (or pairwise independent) random sets with the gap topology under various settings. Our results improve some previously reported results. Some illustrative examples are provided.

引用

页码：719 / 738

页数：20

共 24 条

[1]

[Anonymous], 1977, PROBABILITY THEORY G

[2]

[Anonymous], 1993, COMMENT MATH U CAROL

[3] LAW OF LARGE NUMBERS FOR RANDOM SETS AND ALLOCATION PROCESSES [J].