Gamma Generalized Logistic Distribution: Properties and Applications

Abstract

In this paper we consider a new class of asymmetric logistic distribution that contains both the type I and type II generalized logistic distributions of Balakrishnan and Leung (Commun Stat Simul Comput 17(1):25–50, 1988) as its special cases. We investigate some important properties of the distribution such as expressions for its mean, variance, characteristic function, measure of skewness and kurtosis, entropy etc. along with the distribution of its order statistics. A location-scale extension of the distribution is defined and discussed the maximum likelihood estimation of its parameters. Further, two real life medical data sets are utilized for illustrating the usefulness of the model and a simulation study is conducted for examining the performance of the maximum likelihood estimators of the parameters of the distribution.