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Non-uniform Berry-Esseen bounds for weighted \(U\)-statistics and generalized \(L\)-statistics. (English) Zbl 1325.60017

Summary: Weighted \(U\)-statistics and generalized \(L\)-statistics are commonly used in statistical inference and their asymptotic properties have been well developed. In this paper, sharp non-uniform Berry-Esseen bounds for weighted \(U\)-statistics and generalized \(L\)-statistic are established.

MSC:

60F05 Central limit and other weak theorems
62E20 Asymptotic distribution theory in statistics
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