Nonuniform Berry-Esseen bounds for studentized U-statistics (Q6589592)
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scientific article; zbMATH DE number 7898718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonuniform Berry-Esseen bounds for studentized U-statistics |
scientific article; zbMATH DE number 7898718 |
Statements
Nonuniform Berry-Esseen bounds for studentized U-statistics (English)
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20 August 2024
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The authors establish what seems to be the first non-uniform Berry-Esseen bound for studentized \(U\)-statistics. Their bound has rate \(1/\sqrt{n}\) and is derived under a third moment assumption.
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exponential lower tail bound of non-negative kernel U-statistics
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nonlinear statistics
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nonuniform Berry-Esseen bound
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Stein's method
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studentization
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U-statistics
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variable censoring
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