Almost sure central limit theorem for the products of \(U\)-statistics (Q622557)
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scientific article; zbMATH DE number 5844621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost sure central limit theorem for the products of \(U\)-statistics |
scientific article; zbMATH DE number 5844621 |
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Almost sure central limit theorem for the products of \(U\)-statistics (English)
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3 February 2011
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This note extends the almost sure central limit theorem (CLT) for products of \(U\)-statistics established by \textit{K. Gonchigdanzan} [Period Math Hung 50, 149--153 (2005; Zbl 1082.60506)] to the function-type almost sure CLT result. This format complements the result for \(U\)-statistics proved by \textit{F. Wang} and \textit{S. Cheng} [Chin. Ann. Math. Ser. A 24, 735--742 (2003; Zbl 1042.60015)].
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almost sure central limit theorem
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\(U\)-statistics
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unbounded measurable function
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