ON THE STRONG LAWS OF LARGE NUMBERS FOR
TWO-DIMENSIONAL ARRAYS OF BLOCKWISE INDEPENDENT AND
BLOCKWISE ORTHOGONAL RANDOM VARIABLES
Nguyen Van Quang
Le Van Thanh
Abstract: In this paper we obtain the conditions of the strong law of large numbers for
two-dimensional arrays of random variables which are blockwise independent and
blockwise orthogonal. Some well-known results on the strong laws of large numbers for
two-dimensional arrays of random variables are extended.
2000 AMS Mathematics Subject Classification: 60F15.
Key words and phrases: Blockwise independent random variables, blockwise
orthogonal random variables, strong law of large numbers, two-dimensional arrays of random
variables, almost sure convergence.