• A NEW LOG-LOGISTIC DISTRIBUTION WITH PROPERTIES AND APPLICATIONS

Abstract

In this work, we derive a new two parameter continuous log-logistic distribution with a strong motivation and wide applications. The new model is constructed using the zero truncated Poisson distribution. Some of the fundamental properties of the new model are derived. Four applications to real data sets are provided for illustrating the wide applicability of the new model. The new two parameter model is the best among other ten competitive models which have two parameters or more. We estimated the unknown parameters via the method of maximum likelihood. The new log-logistic model provides the small values for AIC, BIC, CAIC and HQIC.