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

Thanh Le Van (Vinh University)

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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Pages: 434-441

Publication Date: November 21, 2007

DOI: 10.1214/ECP.v12-1331

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