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Weak convergence and Glivenko-Cantelli results for empirical processes of U-statistic structure - MaRDI portal

Weak convergence and Glivenko-Cantelli results for empirical processes of U-statistic structure (Q1826203)

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scientific article; zbMATH DE number 4122964
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Weak convergence and Glivenko-Cantelli results for empirical processes of U-statistic structure
scientific article; zbMATH DE number 4122964

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    Weak convergence and Glivenko-Cantelli results for empirical processes of U-statistic structure (English)
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    1989
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    Empirical processes of U-statistic structure indexed by rather more general Vapnik-Chervonenkis classes of sets are studied for independent, but not necessarily identically distributed observations. Glivenko- Cantelli and weak convergence results are obtained by using a representation of these processes as an average of certain empirical processes.
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    Vapnik-Chervonenkis classes
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    weak convergence
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    empirical processes
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