Asymptotics for multivariate \(t\)-statistic and Hotelling's \(T^ 2\)- statistic under infinite second moments via bootstrapping (Q1323844)

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scientific article; zbMATH DE number 584027
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English
Asymptotics for multivariate \(t\)-statistic and Hotelling's \(T^ 2\)- statistic under infinite second moments via bootstrapping
scientific article; zbMATH DE number 584027

    Statements

    Asymptotics for multivariate \(t\)-statistic and Hotelling's \(T^ 2\)- statistic under infinite second moments via bootstrapping (English)
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    4 July 1994
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    infinite second moments
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    affine normalization
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    self normalization
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    central limit theorem
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    confidence region
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    Hotelling \(T\)-square statistic
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    analogue of Student's \(t\)-statistic
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    domain of attraction
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    normal law
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    chi-squared limiting distribution
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    generalized domain of attraction
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    bootstrap
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    bootstrap version of the multivariate \(t\)-statistic
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