A Treatment of Multivariate Skewness, Kurtosis, and Related Statistics
This paper gives a unified treatment of the limit laws of different measures of multivariate skewness and kurtosis which are related to components of Neyman's smooth test of fit for multivariate normality. The results are also applied to other multivariate statistics which are built up in a similar way as the smooth components. Special emphasis is given to the case that the underlying distribution is elliptically symmetric.
Year of publication: |
2002
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Authors: | Klar, Bernhard |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 83.2002, 1, p. 141-165
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Publisher: |
Elsevier |
Keywords: | multivariate skewness multivariate kurtosis Neyman's smooth test components multivariate normality elliptically symmetric distributions |
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