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Characterizing parameters of multivariate elliptical distributions*
Authors:Maia Berkane  P.M. Bentler
Affiliation:Department of Psychology , University of California , Los Angeles, Los Angeles, 90024, CA
Abstract:This paper defines new parameters characterizing multivariate elliptical distributions. Mardia's coefficient of multivariate kurtosis is shown to be essentially one of these parameters. A simple relation is established between centered multivariate product moments and second moments of the variables. The general results are verified on the contaminated normal distribution as an example.
Keywords:elliptical distributions  moments  kurtosis
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