Abstract
The product of subsequent partial sums of independent, identically distributed, square integrable, positive random variables is asymptotically lognormal. The result extends in a rather routine way to non-degenerate U-statistics.
Citation
Grzegorz Rempala. Jacek Wesolowski. "Asymptotics for Products of Sums and U-statistics." Electron. Commun. Probab. 7 47 - 54, 2002. https://doi.org/10.1214/ECP.v7-1046
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