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.
Citation
Thanh Le Van. "On the strong law of large numbers for $d$-dimensional arrays of random variables." Electron. Commun. Probab. 12 434 - 441, 2007. https://doi.org/10.1214/ECP.v12-1331
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