Volume 6, Issue 4, December 2020, Page: 65-70
The Gamma1-Epsilon Distribution: Its Statistical Properties and Applications
Isaac Esbond Gongsin, Department of Mathematical Sciences, University of Maiduguri, Maiduguri, Nigeria
Funmilayo Westnand Oshogboye Saporu, National Mathematical Centre, Kwali, Abuja, Nigeria
Received: Sep. 4, 2020;       Accepted: Sep. 24, 2020;       Published: Oct. 17, 2020
DOI: 10.11648/j.ijsd.20200604.11      View  21      Downloads  21
Abstract
The construction of new probability distributions is an active field of research. It provides the opportunity for dynamic system modelers to choose the best model from a plethora of probability distributions that provide good fit to some data set using model selection criteria. In this study a new probability distribution function is constructed based on the gamma type-I generator, called the gamma1-epsilon distribution. Its statistical properties are described. The area under the curve of the density plots is shown through numerical integration to equal one with very minimal error margins. The density plots show shapes that are similar to many standard lifetime distributions. This implies that it is flexible to assume different shapes that can model many different random phenomena. Its hazard rate function plots also show varying shapes, namely J-shaped and bathtub-shaped, that indicate its possible use as a model for the study of survival life of biological organisms, electrical and mechanical components. The distribution is applied to the time to death of women with temporary disabilities, remission time of cancer patients and wind speed. The fits to these datasets are good with precise parameter estimates. Its compatibility with data from these dissimilar processes shows it holds a good prospect for real life application.
Keywords
Gamma-G Family, Epsilon Distribution, Hazard Rate Function, Survival Time, Remission Time, Wind Energy
To cite this article
Isaac Esbond Gongsin, Funmilayo Westnand Oshogboye Saporu, The Gamma1-Epsilon Distribution: Its Statistical Properties and Applications, International Journal of Statistical Distributions and Applications. Vol. 6, No. 4, 2020, pp. 65-70. doi: 10.11648/j.ijsd.20200604.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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