Let be a sequence of independent and identically distributed random variables in the domain of attraction of a normal law. An almost sure limit theorem for the self-normalized products of sums of partial sums is established.
"Almost Sure Central Limit Theory for Self-Normalized Products of Sums of Partial Sums." J. Appl. Math. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/329391