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Characterizing parameters of multivariate elliptical distributions<sup>*</sup>

Communications in Statistics - Simulation and ComputationPublished 1 January 1987
Maia Berkane, Peter M. Bentler
Citations13
SJR quartileQ2
SJR score0.43
SNIP1.00

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

Computer ScienceMathematics