The Exponentiated Generalized Power Series Class of Distributions: Theory, Properties and Applications

Authors

Broderick O. Oluyede, Georgia Southern UniversityFollow
Baitshephi Mashabe, Botswana International University of Science and TechnologyFollow
Adeniyi F. Fagbamigbe, Botswana International University of Science and TechnologyFollow
Boikanyo Makubate, Botswana International University of Science and TechnologyFollow
Divine Wanduku, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

8-24-2020

Publication Title

Heliyon

DOI

10.1016/j.heliyon.2020.e04653

ISSN

2405-8440

Abstract

We propose a new generalized family of distributions called the exponentiated generalized power series (EGPS) family of distributions and study its sub-model, the exponentiated generalized logarithmic (EGL) class of distributions, in detail. The structural properties of the new model (EGPS) and its sub-model (EGL) distribution including moments, order statistics, Rényi entropy, and maximum likelihood estimates are derived. We used the method of maximum likelihood to estimate the parameters of this new family of distributions. Simulation study was carried out to examine the bias and the mean square error of the maximum likelihood estimators for each of the model's parameters. Finally, we showed real life data examples to illustrate the models' applicability, flexibility and usefulness.

Comments

Copyright and Open Access: https://v2.sherpa.ac.uk/id/publication/32898

Recommended Citation

Oluyede, Broderick O., Baitshephi Mashabe, Adeniyi F. Fagbamigbe, Boikanyo Makubate, Divine Wanduku. 2020. "The Exponentiated Generalized Power Series Class of Distributions: Theory, Properties and Applications." Heliyon, 6 (8): Elsevier. doi: 10.1016/j.heliyon.2020.e04653
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/741