On an extended skew curved normal distribution and its application

Authors

  • C. Satheesh Kumar
  • M. R. Anusree

Keywords:

Asymmetric distributions, Generalized mixtures, Maxi- mum likelihood estimation, Normal distribution, Plurimodality

Abstract

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.

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Issue

Vol. 51 No. 2 (2017)

Section

Articles