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Revista Colombiana de Estadística
Print version ISSN 0120-1751
Rev.Colomb.Estad. vol.44 no.2 Bogotá July/Dec. 2021 Epub Aug 31, 2021
https://doi.org/10.15446/rce.v44n2.89320
Original articles of research
The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications
La familia de Gamma Odd Burr III-G de distribuciones: modelo, propiedades y aplicaciones
1 Department of Mathematics & Statistical Sciences, Faculty of Science, Botswana International University of Science & Technology, Palapye, Botswana
2 Department of Mathematics, Faculty of Science, University of South Alabama, State of Alabama, USA
A new family of distributions called Risti¢-Balakhrishnan Odd Burr III-G (RBOB III-G) distribution is proposed. We obtain some mathematical and statistical properties of this distribution such as hazard and reverse hazard functions, quantile function, moments and generating functions, conditional moments, Rényi entropy, order statistics, stochastic ordering and probability weighted moments. The model parameters are estimated using máximum likelihood estimation technique. Finally, the usefulness of this family of distributions is demonstrated via simulation experiments.
Key words: Family of distributions; Moments; Maximum likelihood; Odd Burr-III; Ristić-Balakhrishnan
Se supone una nueva familia de distribuciones llamada distribución Ristić-Balakhrishnan Odd Burr III-G (RBOB III-G). Se obtienen algunas propiedades matemáticas y estadísticas de esta distribución, tales como funciones de riesgo y riesgo inverso, función de cuantiles, momentos y funciones generadoras, momentos condicionales, entropía de Rényi, estadísticas de orden, ordenamiento estocástico y momentos ponderados por probabilidad. Los parámetros del modelo se estiman utilizando la técnica de estimación de máxima verosimilitud. Finalmente, la utilidad de esta familia de distribuciones se demuestra mediante experimentos de simulación.
Palabras clave: Familia de distribuciones; Momentos; Máxima verosimilitud; Odd Burr-Balakhrishnan
Acknowledgement
The authors would like to thank the anonymous reviewers and Editors for the useful comments that greatly improved this article to its current version.
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Received: July 2020; Accepted: April 2021
This is an open-access article distributed under the terms of the Creative Commons Attribution License
