The Gamma Logistic Erlang Truncated Exponential Distribution with Applications

We introduce a new distribution called the Gamma Log-logistic Erlang Truncated Exponential (GLLoGETE) distribution. 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, Renyi entropy and maximum likelihood estimates are presented. The ´ new pdf is an infinite linear combinations of Burr XII-Erlang Truncated Exponential distributions. The new generalized distribution is applied to real data sets to evaluate the model performance.