A representation of the rate functions in large deviation principles for \(U\)-statistics with degenerate kernels (Q2752176)
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scientific article; zbMATH DE number 1665472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A representation of the rate functions in large deviation principles for \(U\)-statistics with degenerate kernels |
scientific article; zbMATH DE number 1665472 |
Statements
21 April 2002
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large deviations
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denegerate \(U\)-statistics
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von Mises statistics
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0.9190422
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0.9112563
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0.90172315
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0.89905554
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0.8987507
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A representation of the rate functions in large deviation principles for \(U\)-statistics with degenerate kernels (English)
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The large deviation principle by \textit{M. D. Donsker} and \textit{S. R. S. Varadhan} [Commun. Pure Appl. Math. 29, 389-461 (1976; Zbl 0348.60032)] is applied to obtain a rate function for the large deviation principle for degenerate \(U\)-statistics and von Mises statistics of degree 2. The techniques of \textit{E. Bolthausen} [Probab. Theory Relat. Fields 72, 305-318 (1986; Zbl 0572.60007)] are applied to obtain a Laplace approximation.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00044].
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