Statistica Sinica 12(2002), 1157-1169
NON-UNIFORM BERRY-ESSÉEN BOUND FOR U-STATISTICS
Qiying Wang
Australian National University
Abstract:
Non-uniform Berry-Esséen bounds for 
-statistics
are derived by using a new and simple method.
Extensions
to -type statistics and 
-statistics are also discussed.
Key words and phrases: L-statistic,
Non-uniform Berry-Esséen bound, U-statistic.