Almost sure central limit theory for products of sums of partial sums

作者：Wu Qun-ying^*

来源：Applied Mathematics. Series B, A Journal of Chinese Universities, 2012, 27(2): 169-180.

DOI：10.1007/s11766-012-2823-x

• almost sure central limit theorem
• weight
• product of sums of partial sums

Consider a sequence of i.i.d. positive random variables. An universal result in almost sure limit theorem for products of sums of partial sums is established. We will show that the almost sure limit theorem holds under a fairly general condition on the weight d (k) = k (-1) exp(ln (beta) k), 0 a parts per thousand currency sign beta < 1. And in a sense, our results have reached the optimal form.

• 出版日期2012-6
• 单位桂林理工大学