Strong Laws of Large Numbers for Double Arrays of Blockwise M-Dependent Random Sets

被引：0
作者：
Castaing, Charles [1 ]
Hoang Thi Duyen [2 ]
Nguyen Van Quang [3 ]
机构：
[1] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, F-34095 Montpellier 5, France
[2] Quang Binh Univ, Quang Binh, Vietnam
[3] Vinh Univ, Nghe An, Vietnam
来源：
VIETNAM JOURNAL OF MATHEMATICS | 2023年 / 51卷 / 02期
关键词：
Blockwise; M-dependent; Strong laws; Random sets; Wi[!text type='js']js[!/text]man; Weak compact; Mosco; Slice convergence; MULTIVALUED STRONG LAW; STRONG LIMIT-THEOREMS; UNBOUNDED RANDOM SETS; RANDOM-VARIABLES; WEIGHTED SUMS; CONVEX-SETS; CONVERGENCE;
D O I：
10.1007/s10013-021-00535-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the concept of blockwise M-dependence for double arrays of closed valued random sets and then prove several results of Wijsman convergence, weak compact slice convergence, slice convergence and Mosco convergence for double arrays of blockwise M-dependent closed valued random sets. Some well-known strong laws of large numbers for double arrays of random variables or random sets are extended.
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收藏
页码：379 / 396
页数：18
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