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

[31] THE STRONG LAW OF LARGE NUMBERS FOR EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
Chen, Yiqing
Chen, Anyue
Ng, Kai W.
JOURNAL OF APPLIED PROBABILITY, 2010, 47 (04) : 908 - 922
[32] Strong Law of Large Numbers and Complete Convergence for Sequences of -Mixing Random Variables
GAN Shixin1
2. Department of Mathematics
3. Department of Mathematics and Computational Sciences
Wuhan University Journal of Natural Sciences, 2007, (02) : 211 - 217
[33] On stochastic dominance and the strong law of large numbers for dependent random variables
Naderi, Habib
Matua, Przemyslaw
Amini, Mohammad
Bozorgnia, Abolghasem
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (02) : 771 - 782
[34] On the Applicability Conditions of the Strong Law of Large Numbers for Sequences of Independent Random Variables
Korchevsky, V. M.
VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2010, 43 (04) : 217 - 219
[35] On the strong law of large numbers for sequences of random variables without the independence condition
Korchevsky V.M.
Vestnik St. Petersburg University: Mathematics, 2011, 44 (4) : 268 - 271
[36] On the strong law of large numbers for weighted sums of random variables
Sung, Soo Hak
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4277 - 4287
[37] The strong law of large numbers for negatively dependent generalized Gaussian random variables
Amini, M
Azarnoosh, HA
Bozorgnia, A
STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, 22 (04) : 893 - 901
[38] The Marcinkiewics-Zygmund strong law of large numbers for dependent random variables
Boukhari, Fakhreddine
STATISTICS & PROBABILITY LETTERS, 2020, 161
[39] Strong Law of Large Numbers for Adapted Sequences and Application to Multivalued Supermartingale
Oulghazi, H.
Ezzaki, F.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (03) : 407 - 415
[40] Strong Law of Large Numbers for Adapted Sequences and Application to Multivalued Supermartingale
H. Oulghazi
F. Ezzaki
Lobachevskii Journal of Mathematics, 2020, 41 : 407 - 415

← 1 2 3 4 5 →