Asymptotics for Products of Sums and U-statistics

  title={Asymptotics for Products of Sums and U-statistics},
  author={GRZEGORZ REMPA lA}
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. 

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