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Wiley InterScience | |||||||||||||||||||||||||||||
  Scandinavian Journal of StatisticsVolume 33 Issue 4, Pages 753 - 763 Published Online: 17 Mar 2006 © 2009 Board of the Foundation of the Scandinavian Journal of Statistics
Abstract | References | Full Text: HTML, PDF (Size: 510K) | Related Articles | Citation Tracking  Identifiability of Finite Mixtures of Elliptical Distributions Copyright 2006 Board of the Foundation of the Scandinavian Journal of Statistics. KEYWORDS characteristic function • elliptically symmetric • finite mixture • identifiability • Laplace transform • multivariate t distribution • normal scale mixture ABSTRACTAbstract. We present general results on the identifiability of finite mixtures of elliptical distributions under conditions on the characteristic generators or density generators. Examples include the multivariate t-distribution, symmetric stable laws, exponential power and Kotz distributions. In each case, the shape parameter is allowed to vary in the mixture, in addition to the location vector and the scatter matrix. Furthermore, we discuss the identifiability of finite mixtures of elliptical densities with generators that correspond to scale mixtures of normal distributions. Received May 2005, in final form January 2006 | 
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