On the distribution of the determinant of sample correlation matrix from multivariate Gaussian population (Q789125)

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scientific article; zbMATH DE number 3844833
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On the distribution of the determinant of sample correlation matrix from multivariate Gaussian population
scientific article; zbMATH DE number 3844833

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    On the distribution of the determinant of sample correlation matrix from multivariate Gaussian population (English)
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    1983
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    In this paper the exact distribution of the determinant of the sample correlation matrix from a multivariate Gaussian distribution is derived. The method of inverse Mellin transform has been used and the densities are obtained in a simple computable form for even and odd sample sizes. Further, asymptotic results are also given. (From authors' summary.)
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    G-function
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    distribution of determinant of correlation matrix
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    multivariate Gaussian distribution
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    inverse Mellin transform
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