Normalizing and variance stabilizing transformations of multivariate statistics under an elliptical population (Q578803)

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scientific article; zbMATH DE number 4013774
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Normalizing and variance stabilizing transformations of multivariate statistics under an elliptical population
scientific article; zbMATH DE number 4013774

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    Normalizing and variance stabilizing transformations of multivariate statistics under an elliptical population (English)
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    1987
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    Normalizing and variance stabilizing transformations of a sample correlation, multiple correlation and canonical correlation coefficients are obtained under an elliptical population. It is shown that the Fisher's z-transformation is efficient for these statistics. A normalizing transformation is also studied for a latent root of a sample covariance matrix in an elliptical sample.
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    variance stabilizing transformations
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    sample correlation
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    multiple correlation
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    canonical correlation
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    elliptical population
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    Fisher's z- transformation
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    normalizing transformation
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    latent root
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    sample covariance matrix
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