  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.
