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A note on the ASCLT for triangular arrays of random variables with an extension to U-statistics |
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| Authors: | Yong Zhang Xiao Yun Yang |
| Institution: | 1. College of Mathematics, Jilin University, Changchun, 130012, P. R. China |
| Abstract: | 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. |
| Keywords: | Almost sure central limit theorem triangular arrays products of sums U-statistics |
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