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Rank-dependent moderate deviations of \(U\)-empirical measures in strong topologies - MaRDI portal

Rank-dependent moderate deviations of \(U\)-empirical measures in strong topologies (Q1400836)

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scientific article; zbMATH DE number 1964653
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English
Rank-dependent moderate deviations of \(U\)-empirical measures in strong topologies
scientific article; zbMATH DE number 1964653

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    Rank-dependent moderate deviations of \(U\)-empirical measures in strong topologies (English)
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    14 August 2003
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    A rank dependent moderate deviation principle is established for \(U\)-empirical measures, where the underlying random variables take values in some measurable space which is not necessarily Polish. A moderate deviation principle for Banach space valued \(U\)-statistics is obtained as a particular application.
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    moderate deviations
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    empirical measures
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    strong topology
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    \(U\)-statistics
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