• SKEW - TYPE I GENERALIZED LOGISTIC DISTRIBUTION AND ITS PROPERTIES

Abstract

I n this paper, we derive, the probability density function (pdf) and cumulative distribution function (CDF) of the skew type I generalized logistic distribution SGLD .The general statistical properties of the SGLD 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. Mean deviation about the mean and about the median, Renye entropy and the order statistics are also given. We consider the general case by inclusion of location and scale parameters. The results of Nadarajah [11] 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.