Abstract

In this paper, we consider a new class of two-piece skew normal distribution as a mixture of the standard normal distribution and the two-piece skew normal distribution of Kim (Statistics, 2005). We discuss some of the important aspects of this new class of distributions by obtaining explicit expressions for its distribution function, characteristic function, reliability measures, conditions for plurimodality etc. Further, the estimation of the parameters of this class of distribution is attempted and illustrated with the help of certain real life data sets.

Author: C. Satheesh Kumar and M. R. Anusree

Received on: August, 2015

Accepted on: November, 2016