The Exponentiated Generalized Power Series Class of Distributions: Theory, Properties and Applications
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.
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
Comments
Copyright and Open Access: https://v2.sherpa.ac.uk/id/publication/32898