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