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The gamma log-logistic Erlang truncated exponential distribution with applications. (English. French summary) Zbl 1436.62061

Summary: 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, Rényi 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.

MSC:

62E15 Exact distribution theory in statistics
60E15 Inequalities; stochastic orderings
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Full Text: Euclid