The Exponentiated Half-Logistic-Weibull Topp-Leone-G Family of Distributions

A new family of distributions called the Exponentiated Half-Logistic-Weibull Topp-Leone-G (EHL-WTL-G) distribution is proposed and studied. The novel EHL-WTL-G distribution is flexible and compatible with a variety of real data sets, most importantly is the ability of the model to capture heavy-tailed data sets. Some structural properties of the new family of distributions including moments, conditional moments, probability weighted moments, distribution of the order statistics and Rényi entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators is presented and applications to real dataset to illustrates the usefulness of the model are given.