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

Authors

Broderick O. Oluyede, Georgia Southern UniversityFollow
Hameed Abiodun Jimoh, Georgia Southern UniversityFollow
Divine Wanduku, Georgia Southern UniversityFollow
Boikanyo Makubate, Botswana International University of Science and TechnologyFollow

Document Type

Article

Publication Date

2020

Publication Title

Electronic Journal of Applied Statistical Analysis (EJASA)

DOI

10.1285/i20705948v13n2p293

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.

Comments

This work is licensed under a Creative Commons Attribution - Non commercial - No derivatives 3.0 Italy License.

Recommended Citation

Oluyede, Broderick O., Hameed Abiodun Jimoh, Divine Wanduku, Boikanyo Makubate. 2020. "A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications." Electronic Journal of Applied Statistical Analysis (EJASA), 13 (2): 293-349: Universita del Salento. doi: 10.1285/i20705948v13n2p293
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/758