Article ID Journal Published Year Pages File Type
1155212 Statistics & Probability Letters 2008 5 Pages PDF
Abstract

Moments of multivariate skew-symmetric distributions which are generated from spherically symmetric and elliptically symmetric kernels are considered. For a rather general class of spherically symmetric kernels a strong relationship to the univariate case is established. This is exploited to demonstrate that the structure of the mean is that of shrinkage towards the origin. This result is generalized to skew-elliptical distributions.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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