Boundary Crossing Probabilities for U-Statistics.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Let the set U sub n, n or r be a sequence of U-statistics with mean theta. The author computes upper bounds on the probabilities PU sub n - theta or a sub n for some n or m and PU sub n - theta or a sub n for some n or m for certain for certain boundary sequences including a sub n Osquare root 2 loglog nn. An invariance theorem is also deduced. Author
- Statistics and Probability