A Generalized Skew of type IV Logistic Distribution

Abstract

In this paper, we derive, the probability density function (pdf) and cumulative distribution function (CDF) of the skew type IV generalized logistic distribution GSLD IV . The general statistical properties of the GSLD IV . such as: the moment generating function (mgf), characteristic function (ch.f), Laplace and fourier transformations are obtained in explicit form. Expressions for the n^th moment, skewness and kurtosis coefficients are discussed. The mean deviation about the mean and about the median are also obtained. We consider the general case by inclusion of location and scale parameters. The results of Asgharzadeh (2013) are obtained as special cases. Graphically illustration of some results have been represented. Further we present a numerical example to illustrate some results of this paper.

Keywords: skew type IV generalized logistic distribution, moment generating function, skewness, kurtosis, mean deviation.