Strong law of large numbers for double sequences of pairwise M-dependent real and multivalued random variables

被引：0

作者：

Mohamed, El-Moustafid ^{[1
]}

El-Louh, M'hamed ^{[1
]}

Ezzaki, Fatima ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Fac Sci & Technol, Lab Modeling & Math Struct, Fes, Morocco

来源：

ADVANCES IN OPERATOR THEORY | 2024年 / 9卷 / 02期

关键词：

Double sequences; Strong law of large numbers; Pairwise M-dependent; Kuratowski-convergence; CONDITIONAL EXPECTATIONS; RANDOM SETS; CONVERGENCE;

D O I：

10.1007/s43036-024-00318-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The strong law of large numbers for a double sequence of pairwise M-dependent random variables is established. An extension to Kuratowski-convergence of the strong law of large numbers for a double sequence of pairwise M-dependent multivalued random variables with closed values is stated.

引用

页数：18

共 50 条

[1] Strong law of large numbers for double sequences of pairwise M-dependent real and multivalued random variables
El-Moustafid Mohamed
M’hamed El-Louh
Fatima Ezzaki
Advances in Operator Theory, 2024, 9
[2] Strong laws of large numbers for sequences of blockwise and pairwise m-dependent random variables in metris spaces
Nguyen Van Quang
Pham Tri Nguyen
APPLICATIONS OF MATHEMATICS, 2016, 61 (06) : 669 - 684
[3] Strong laws of large numbers for sequences of blockwise and pairwise m-dependent random variables in metris spaces
Nguyen Vam Quang
Pham Tri Nguyen
Applications of Mathematics, 2016, 61 : 669 - 684
[4] A STRONG LIMIT THEOREM FOR SEQUENCES OF BLOCKWISE AND PAIRWISE m-DEPENDENT RANDOM VARIABLES
Le Van Thanh
Vu Ngoc Anh
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (02) : 343 - 351
[5] ON THE STRONG LAW OF LARGE NUMBERS FOR SEQUENCES OF PAIRWISE NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
Li, Deli
Rosalsky, Andrew
Volodin, Andrei I.
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2006, 1 (02): : 281 - 305
[6] On the Brunk-Chung type strong law of large numbers for sequences of blockwise m-dependent random variables
Van, Thanh, Le
ESAIM - Probability and Statistics, 2006, 10 : 258 - 268
[7] The strong law of large numbers for pairwise negatively dependent random variables
Gerasimov M.Y.
Moscow University Computational Mathematics and Cybernetics, 2009, 33 (2) : 51 - 58
[8] The strong law of large numbers for pairwise negatively dependent random variables
Sani, HRN
Azarnoosh, HA
Bozorgnia, A
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY, 2004, 28 (A2): : 211 - 217
[9] On the Strong Law of Large Numbers for Sequences of Dependent Random Variables
Korchevsky, V. M.
Petrov, V. V.
VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2010, 43 (03) : 143 - 147
[10] STRONG LAWS OF LARGE NUMBERS FOR PAIRWISE M-DEPENDENT RANDOM SETS UNDER VARIOUS CONVERGENCES
Castaing, Charles
Hoang Thi Duyen
Hess, Christian
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (11) : 2459 - 2497

← 1 2 3 4 5 →