Abstract:

Applying the moment inequality for the maximum of partial sums and asymptotic distribution for product of partial sums of NA sequences, the author obtained the asymptotic distribution for random product of partial sums of NA sequences and extended the asymptotic distribution for products of partial sums is  to the random product of partial sums of NA sequences so as to get  asymptotic distribution of random product for a class of random functions.

Key words: NA sequences, product of partial sums, random product, asymptotic distribution