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
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
收藏
页数:18
相关论文
共 9 条
[1]  
Castaing C., 1977, Convex Analysis and Measurable Multifunctions, V580, DOI [DOI 10.1007/BFB0087685, 10.1007/bfb0087685]
[2]  
Castaing C, 2020, J NONLINEAR CONVEX A, V21, P2459
[3]  
Castaing C, 2012, J NONLINEAR CONVEX A, V13, P615
[4]   AN ELEMENTARY PROOF OF THE STRONG LAW OF LARGE NUMBERS [J].
ETEMADI, N .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 55 (01) :119-122
[5]  
Hess C, 1999, J CONVEX ANAL, V6, P163
[6]   CONVERGENCE OF CONDITIONAL EXPECTATIONS AND STRONG LAWS OF LARGE NUMBERS FOR MULTIVALUED RANDOM-VARIABLES [J].
HIAI, F .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 291 (02) :613-627
[7]   INTEGRALS, CONDITIONAL EXPECTATIONS, AND MARTINGALES OF MULTIVALUED FUNCTIONS [J].
HIAI, F ;
UMEGAKI, H .
JOURNAL OF MULTIVARIATE ANALYSIS, 1977, 7 (01) :149-182
[8]   On the Strong Limit Theorems for Double Arrays of Blockwise M-dependent Random Variables [J].
Stadtmueller, Ulrich ;
Le Van Thanh .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (10) :1923-1934
[9]  
Thanh LV., 2005, B I MATH ACAD SINICA, V33, P397