In this paper we introduce a new class of asymmetric normal distributions, namely
extended skew curved normal distribution, as a generalization of the skew curved
normal distribution of Arellano-Valle et al. (Commun. Statist. Theor. Meth.,
2004) and study some of its important aspects. A location scale extension of this
family of distribution is also considered and the estimation of the parameters of
the extended class is discussed.