Open AccessOn an extended skew curved normal distribution and its application
Author(s) -
C. Satheesh Kumar,
M. R. Anusree
Publication year - 2018
Language(s) - English
DOI - 10.47302/jsr.2017510202
Subject(s) - skew , generalization , mathematics , skew normal distribution , distribution (mathematics) , extension (predicate logic) , class (philosophy) , generalized normal distribution , normal distribution , mathematical analysis , statistics , computer science , artificial intelligence , telecommunications , programming language
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.