On symmetry of finite mixtures of normal distributions |
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| Authors: | Gauri Sankar Datta |
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| Institution: | Department of Statistics, University of Georgia, Athens, GA 30602-1952, USA |
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| Abstract: | In this note we derive a necessary and sufficient condition for a distribution obtained by taking a finite mixture of multivariate normal distributions to be symmetric about zero. The result derived also holds for mixtures of symmetric stable distributions, including the Cauchy distribution. |
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| Keywords: | Finite mixture Normal distributions Stable distributions Symmetry |
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