Universal Journal of Mathematics and Mathematical Sciences

The Universal Journal of Mathematics and Mathematical Sciences promotes the publication of articles in interdisciplinary fields such as finance, bioinformatics, and engineering, as well as core topics in mathematics. It encourages innovative ideas for teaching mathematics and statistics.

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A SIMPLE AND EFFICIENT METHOD FOR FITTING THE THREE-PARAMETER GAMMA DISTRIBUTION TO GIVEN DATA

Authors

  • Ouindllassida Jean-Etienne Ouédraogo

Keywords:

search space, bounds, estimation, maximum likelihood, order statistics, three-parameter gamma model, Differential Evolution

DOI:

https://doi.org/10.17654/2277141722003

Abstract

The aim in this paper consists in proposing a simple and efficient method for fitting the three-parameter Gamma model. To do this, adaptive bounds for the parameters were initially proposed. Then, an optimization method called Differential Evolution method is used to maximize the likelihood function of the model. Finally, a study of the Monte Carlo simulations made it possible to evaluate the performance of the proposed estimators.

Received: November 18, 2021
Accepted: December 23, 2021

References

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Published

2022-01-07

Issue

Section

Articles

How to Cite

A SIMPLE AND EFFICIENT METHOD FOR FITTING THE THREE-PARAMETER GAMMA DISTRIBUTION TO GIVEN DATA. (2022). Universal Journal of Mathematics and Mathematical Sciences, 15, 31-42. https://doi.org/10.17654/2277141722003

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