A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications

Abstract

We introduce a new distribution via the Marshall-Olkin generator called the Marshall-Olkin Log-logistic Erlang-Truncated Exponential (MOLLoGETE) distribution.  Some structural properties of the distribution including series expansion of the density function, sub-models, hazard function, moments, conditional moments, mean deviations, distribution of order statistics, R´enyi entropy and maximum likelihood estimates are presented.  The new density function is an infinite linear combinations of Burr XII-Erlang-Truncated Exponential distributions.  The new generalization is applied to real data sets to evaluate the model performance.