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Asymptotics for Products of Sums and U-statistics

   
@article{ECP1046,
	author = {Grzegorz Rempala and Jacek Wesolowski},
	title = {Asymptotics for Products of Sums and U-statistics},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {7},
	year = {2002},
	keywords = {Central limit theorem, lognormal distribution, productsof sums of iid rv's, records, U-statistics},
	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.},
	pages = {no. 5, 47-54},
	issn = {1083-589X},
	doi = {10.1214/ECP.v7-1046},    
        url = {http://ecp.ejpecp.org/article/view/1046}}