학술논문

Identifiability of two‐component skew normal mixtures with one known component.
Document Type
Article
Source
Scandinavian Journal of Statistics. Dec2019, Vol. 46 Issue 4, p955-986. 32p.
Subject
*SKEWNESS (Probability theory)
*CHARACTERISTIC functions
*GAUSSIAN distribution
*DISTRIBUTION (Probability theory)
*MIXTURES
*MIXING
Language
ISSN
0303-6898
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 and two multivariate extensions: a multivariate skew normal distribution (MSN) and the canonical fundamental skew normal distribution (CFUSN). The characteristic function of the CFUSN distribution is additionally derived. [ABSTRACT FROM AUTHOR]