Some Properties of the Extended Generalized Logistic-Gamma Distribution with Applications

Abstract

In this paper, we discuss an extended form including the reversed generalized logistic distribution as its subfamily and refer to it as the extended generalized logistic-gamma distribution. We study some moment properties, and derive exact and explicit formulas for the mean,variance, skewness and kurtosis. In addition, we give a theorem to characterize this distribution and discuss its limiting distributions as the shape parameters tend to zero or infinity. Finally, possible applications of this distribution in bioassays as a dose response curve are discussed and illustrated with two examples.