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arXiv · 1801.00038

Identifiability of two-component skew normal mixtures with one known component

Shantanu Jain·Michael Levine·Predrag Radivojac·Michael W. Trosset
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Abstract

We give sufficient identifiability conditions for estimating mixing proportions in two-component mixtures of skew normal distributions with one known component. We consider the univariate case as well as two multivariate extensions: a multivariate skew normal distribution (MSN) by Azzalini and Dalla Valle (1996) and the canonical fundamental skew normal distribution (CFUSN) by Arellano-Valle and Genton (2005). The characteristic function of the CFUSN distribution is additionally derived.

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Shantanu Jain, Michael Levine, Predrag Radivojac, Michael W. Trosset. 2017-12-29. Identifiability of two-component skew normal mixtures with one known component. https://arxiv.org/abs/1801.00038

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