A study of generalized logistic distributions

Authors

Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo 11566, Egypt

Abstract

Because of their flexibility, recently, much attention has been given to the study of
generalized distributions. A complete study of the beta generalized logistic distribution (type IV)
is proposed, introducing an approximate form for the median and deducing the mean deviation
from the mean and the median. A complete parameter estimation using the method of maximum
likelihood and the method of moments is presented. Some characteristic properties of the generalized logistic distribution type I are discussed. Also, a highlight to some properties of an analog distribution to the generalized logistic distribution type IV, discussed by Zografos and Balakrishnan [1], is presented.

Keywords