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.%利用 NA 序列部分和最大值的矩不等式及部分和乘积的渐近分布，得出 NA 序列部分和随机乘积的渐近分布，并将已有部分和乘积的结果推广到部分和随机乘积上，进而得到一类统计量随机乘积的渐近分布。
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