Sectorial convergence of \(U\)-statistics (Q1775451)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sectorial convergence of \(U\)-statistics |
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Sectorial convergence of \(U\)-statistics (English)
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3 May 2005
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The author entends results on the strong law of large numbers for symmetrized \(U\)-statistics of \textit{R. Latała} and \textit{J. Zinn} [Ann. Probab. 28, 1908-1924 (2000; Zbl 1044.60025)] to \(U\)-type statistics indexed by a linear sector in \(Z^d_{+}\). Comparisons with similar results for sums of multi-indexed i.i.d. random variables are also made.
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strong law of large numbers
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decoupling
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Rademacher sequence
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