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On the generalized domain of attraction of the multivariate normal law and asymptotic normality of the multivariate Student \(t\)-statistic - MaRDI portal

On the generalized domain of attraction of the multivariate normal law and asymptotic normality of the multivariate Student \(t\)-statistic (Q1931876)

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scientific article; zbMATH DE number 6126049
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English
On the generalized domain of attraction of the multivariate normal law and asymptotic normality of the multivariate Student \(t\)-statistic
scientific article; zbMATH DE number 6126049

    Statements

    On the generalized domain of attraction of the multivariate normal law and asymptotic normality of the multivariate Student \(t\)-statistic (English)
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    16 January 2013
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    generalized domain of attraction of the \(d\)-variate normal law
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    full random vector
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    domain of attraction of the normal law
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    slowly varying function at infinity
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    sample correlation matrix
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    Cramér-Wold device
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    spherically symmetric random vector
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    Pareto distribution
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    (left) Cholesky square root of a matrix
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    symmetric positive definite square root of a matrix
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    \(d\)-variate Student \(t\)-statistic
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