On normal convergence criteria for sums of row-wise independent random variables
M. Inlow (2010). On normal convergence criteria for sums of row-wise independent random variables. Journal of Statistical Research, Vol. 44, No. 2, pp. 289-292.
Abstract
In this article we present new criteria for the asymptotic normality of sums of row-wise independent random variables. Besides providing an alternate approach for demonstrating a sum of independent random variables is asymptotically normal, our criteria provide new insight into the nature of asymptotic normality and the Lindeberg condition.
