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.

DOI Code: 10.1285/i20705948v13n2p293

Keywords: Marshall-Olkin,Generalized distribution, Erlang Truncated Ex- ponential distribution, Maximum Likelihood Estimation.

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