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On the strong law of large numbers for d-dimensional arrays of random variables


 
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1. Title Title of document On the strong law of large numbers for d-dimensional arrays of random variables
 
2. Creator Author's name, affiliation, country Thanh Le Van; Vinh University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Strong law of large number, almost sure convergence, $d$-dimensional arrays of random variables
 
3. Subject Subject classification 60F15
 
4. Description Abstract In this paper, we provide a necessary and sufficient condition for general d-dimensional arrays of random variables to satisfy strong law of large numbers. Then, we apply the result to obtain some strong laws of large numbers for d-dimensional arrays of blockwise independent and blockwise orthogonal random variables.
 
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7. Date (YYYY-MM-DD) 2007-11-21
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1331
 
10. Identifier Digital Object Identifier 10.1214/ECP.v12-1331
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 12
 
12. Language English=en
 
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