Accession Number : AD0743789

Title :   Boundary Crossing Probabilities for U-Statistics.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Khan,Rasul A.

Report Date : 17 SEP 1971

Pagination or Media Count : 23

Abstract : 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 P(U sub n - theta > or = a sub n for some n > or = m) and P(/U sub n - theta / > or = a sub n for some n > or = m) for certain for certain boundary sequences including a sub n = O(square root (2 loglog n/n)). An invariance theorem is also deduced. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, PROBABILITY), SEQUENCES(MATHEMATICS), RANDOM VARIABLES, PERMUTATIONS, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE