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The probability inequalities for the supreme of the empirical processes and applications to the testing of data structure (Q1192393)

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scientific article; zbMATH DE number 60808
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English
The probability inequalities for the supreme of the empirical processes and applications to the testing of data structure
scientific article; zbMATH DE number 60808

    Statements

    The probability inequalities for the supreme of the empirical processes and applications to the testing of data structure (English)
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    27 September 1992
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    The paper provides a bound on the tails of the distribution function of the Kolmogorov statistic for a certain class of \(d\)-dimensional distributions, including the elliptically symmetric distributions and the uniform distribution on the unit square. Possible applications include testing in projection pursuit.
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    empirical processes
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    probability inequalities
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    tail bounds
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    Kolmogorov statistic
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    elliptically symmetric distributions
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    uniform distribution
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    projection pursuit
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