Limit distributions of conditional \(U\)-statistics (Q1890737)
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scientific article; zbMATH DE number 757597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit distributions of conditional \(U\)-statistics |
scientific article; zbMATH DE number 757597 |
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Limit distributions of conditional \(U\)-statistics (English)
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23 May 1995
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The paper provides some distributional limit results for conditional \(U\)- statistics as introduced by the reviewer [Ann. Probab. 19, No. 2, 812-825 (1991; Zbl 0770.60035)] when the kernel is degenerate. The method of proof utilizes a decomposition of a symmetric statistic into multiple integrals due to \textit{E. B. Dynkin} and \textit{A. Mandelbaum} [Ann. Stat. 11, 739-745 (1983; Zbl 0518.60050)].
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conditional \(U\)-statistics
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limit distributions
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multiple Wiener integral
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