Published

2021-07-12

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

DOI:

https://doi.org/10.15446/rce.v44n2.89320

Keywords:

Ristic-Balakhrishnan, Odd Burr-III, Family of distributions, Moments, Maximum likelihood. (en)
Familia de distribuciones, Momentos, Máxima verosimilitud, Odd Burr-Balakhrishnan (es)

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Authors

  • Peter Ookame Peter Department of Mathematics & Statistical Sciences, Faculty of Science,Botswana International University of Science & Technology, Palapye, Botswana.
  • Broderick Oluyede Department of Mathematics & Statistical Sciences, Faculty of Science,Botswana International University of Science & Technology, Palapye, Botswana.
  • Huybrechts Frazier Bindele Department of Mathematics, Faculty of Science, University of South Alabama, State of Alabama, USA
  • Nkumbuludzi Ndwapi Department of Mathematics & Statistical Sciences, Faculty of Science,Botswana International University of Science & Technology, Palapye, Botswana.
  • Onkabetse Mabikwa Department of Mathematics & Statistical Sciences, Faculty of Science,Botswana International University of Science & Technology, Palapye, Botswana.

A new family of distributions called Ristic-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 maximum likelihood estimation technique. Finally, the usefulness of this family of distributions is demonstrated via simulation experiments.

Se supone una nueva familia de distribuciones llamada distribución Ristic-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.

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How to Cite

APA

Peter, P. O., Oluyede, B., Bindele, H. F., Ndwapi, N. and Mabikwa, O. (2021). The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications. Revista Colombiana de Estadística, 44(2), 331–368. https://doi.org/10.15446/rce.v44n2.89320

ACM

[1]
Peter, P.O., Oluyede, B., Bindele, H.F., Ndwapi, N. and Mabikwa, O. 2021. The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications. Revista Colombiana de Estadística. 44, 2 (Jul. 2021), 331–368. DOI:https://doi.org/10.15446/rce.v44n2.89320.

ACS

(1)
Peter, P. O.; Oluyede, B.; Bindele, H. F.; Ndwapi, N.; Mabikwa, O. The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications. Rev. colomb. estad. 2021, 44, 331-368.

ABNT

PETER, P. O.; OLUYEDE, B.; BINDELE, H. F.; NDWAPI, N.; MABIKWA, O. The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications. Revista Colombiana de Estadística, [S. l.], v. 44, n. 2, p. 331–368, 2021. DOI: 10.15446/rce.v44n2.89320. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/89320. Acesso em: 28 mar. 2025.

Chicago

Peter, Peter Ookame, Broderick Oluyede, Huybrechts Frazier Bindele, Nkumbuludzi Ndwapi, and Onkabetse Mabikwa. 2021. “The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications”. Revista Colombiana De Estadística 44 (2):331-68. https://doi.org/10.15446/rce.v44n2.89320.

Harvard

Peter, P. O., Oluyede, B., Bindele, H. F., Ndwapi, N. and Mabikwa, O. (2021) “The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications”, Revista Colombiana de Estadística, 44(2), pp. 331–368. doi: 10.15446/rce.v44n2.89320.

IEEE

[1]
P. O. Peter, B. Oluyede, H. F. Bindele, N. Ndwapi, and O. Mabikwa, “The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications”, Rev. colomb. estad., vol. 44, no. 2, pp. 331–368, Jul. 2021.

MLA

Peter, P. O., B. Oluyede, H. F. Bindele, N. Ndwapi, and O. Mabikwa. “The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications”. Revista Colombiana de Estadística, vol. 44, no. 2, July 2021, pp. 331-68, doi:10.15446/rce.v44n2.89320.

Turabian

Peter, Peter Ookame, Broderick Oluyede, Huybrechts Frazier Bindele, Nkumbuludzi Ndwapi, and Onkabetse Mabikwa. “The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications”. Revista Colombiana de Estadística 44, no. 2 (July 12, 2021): 331–368. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/89320.

Vancouver

1.
Peter PO, Oluyede B, Bindele HF, Ndwapi N, Mabikwa O. The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications. Rev. colomb. estad. [Internet]. 2021 Jul. 12 [cited 2025 Mar. 28];44(2):331-68. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/89320

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