In this paper, we obtain an almost sure central limit theorem for products of independent sums of positive random variables. An extension of the result gives an ASCLT for the U-statistics.
基金Supported by National Natural Science Foundation of China (Grant Nos. 10971081 and 11101180)Basic Research Foundation of Jilin University (Grant Nos. 201001002 and 201103204)
文摘In this paper, we obtain an almost sure central limit theorem for products of independent sums of positive random variables. An extension of the result gives an ASCLT for the U-statistics.