A study of generalized logistic distributions

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.