Three Parameter Generalized Gaussian Type Distribution

Abstract

In this article we introduced a three parameter generalized Gaussian type distribution. The various distributional properties like probability density function, moment generating function, the central moments etc., are derived. The estimators of the parameters are also obtained through the method of moments and maximum likelihood method of estimation. This distribution is useful in analyzing the random phenomenon arising at places like, agricultural experiments, biological studies, image processingetc,. This distribution also includes several of the earlier distributions like unimodal, bimodal, symmetric, leptokurtic and platykurtic distributions for particular values of the parameters.