Acta Mathematica Vietnamica
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STRONG LAW OF LARGE NUMBERS AND $L^p$-CONVERGENCE FOR DOUBLE ARRAYS OF INDEPENDENT RANDOM VARIABLES
LE VAN THANHpp. 225-232
Abstract
For a double array of independent random variables $\{X_{mn},m \geq 1, n \geq 1\}$, a strong law of large numbers and the $L^p$-convergence are established for the double sums $\sum_{i=1}^m\sum_{j=1}^n X_{ij}$, $m\geq 1, n\geq 1$.