Published

2018-01-01

The Odd Log-Logistic Dagum Distribution: Properties and Applications

La distribución Odd Log-Logistica de Dagum: propiedades y aplicaciones

DOI:

https://doi.org/10.15446/rce.v41n1.66542

Keywords:

Dagum Distribution, Maximum Likelihood, Odd Log-Logistic Family, Order Statistics (en)
distribución Dagum, familia Odd-Log-Logística, máxima verosimilitud, estadísticas de orden (es)

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Authors

  • Filippo Domma Department of Economics, Statistics and Finance, University of Calabria, Via Pietro Bucci, Cubo 0C, 87036 Arcavacata di Rende(CS)-Italy.
  • Abbas Eftekharian Department of Statistics, University of hormozgan, 9 km of road Minab, Bandarabbas, Iran
  • Ahmed Afify Department of Statistics, Mathematics and Insurance, Benha University, Egypt.
  • Morad Alizadeh Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr, Iran.
  • Indranil Ghosh Department of Mathematics and Statistics, University of North Carolina Wilmington, USA.

This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.

Este artículo introduce un nuevo modelo de sobrevida de cuatro parámetros llamado la distribución Odd Log-Logistica de Dagum. El nuevo modelo tiene la ventaja de ser capaz de modelar varias formas de envejecimiento y criterios de falla. Derivamos propiedades estructurales del modelo Odd Log-Logistica de Dagum tales como estadísticos de orden y momentos incompletos. El método de máxima verosimilitud es usado para estimar los parámetros del modelo. Se discuten resultados de algunas simulaciones, las cuales permitieron establecer la eficiencia del método de máxima verosimilitud. Probamos empíricamente la importancia y flexibilidad del nuevo modelo a través de un ejemplo en datos reales.

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How to Cite

APA

Domma, F., Eftekharian, A., Afify, A., Alizadeh, M. and Ghosh, I. (2018). The Odd Log-Logistic Dagum Distribution: Properties and Applications. Revista Colombiana de Estadística, 41(1), 109–135. https://doi.org/10.15446/rce.v41n1.66542

ACM

[1]
Domma, F., Eftekharian, A., Afify, A., Alizadeh, M. and Ghosh, I. 2018. The Odd Log-Logistic Dagum Distribution: Properties and Applications. Revista Colombiana de Estadística. 41, 1 (Jan. 2018), 109–135. DOI:https://doi.org/10.15446/rce.v41n1.66542.

ACS

(1)
Domma, F.; Eftekharian, A.; Afify, A.; Alizadeh, M.; Ghosh, I. The Odd Log-Logistic Dagum Distribution: Properties and Applications. Rev. colomb. estad. 2018, 41, 109-135.

ABNT

DOMMA, F.; EFTEKHARIAN, A.; AFIFY, A.; ALIZADEH, M.; GHOSH, I. The Odd Log-Logistic Dagum Distribution: Properties and Applications. Revista Colombiana de Estadística, [S. l.], v. 41, n. 1, p. 109–135, 2018. DOI: 10.15446/rce.v41n1.66542. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/66542. Acesso em: 30 jan. 2025.

Chicago

Domma, Filippo, Abbas Eftekharian, Ahmed Afify, Morad Alizadeh, and Indranil Ghosh. 2018. “The Odd Log-Logistic Dagum Distribution: Properties and Applications”. Revista Colombiana De Estadística 41 (1):109-35. https://doi.org/10.15446/rce.v41n1.66542.

Harvard

Domma, F., Eftekharian, A., Afify, A., Alizadeh, M. and Ghosh, I. (2018) “The Odd Log-Logistic Dagum Distribution: Properties and Applications”, Revista Colombiana de Estadística, 41(1), pp. 109–135. doi: 10.15446/rce.v41n1.66542.

IEEE

[1]
F. Domma, A. Eftekharian, A. Afify, M. Alizadeh, and I. Ghosh, “The Odd Log-Logistic Dagum Distribution: Properties and Applications”, Rev. colomb. estad., vol. 41, no. 1, pp. 109–135, Jan. 2018.

MLA

Domma, F., A. Eftekharian, A. Afify, M. Alizadeh, and I. Ghosh. “The Odd Log-Logistic Dagum Distribution: Properties and Applications”. Revista Colombiana de Estadística, vol. 41, no. 1, Jan. 2018, pp. 109-35, doi:10.15446/rce.v41n1.66542.

Turabian

Domma, Filippo, Abbas Eftekharian, Ahmed Afify, Morad Alizadeh, and Indranil Ghosh. “The Odd Log-Logistic Dagum Distribution: Properties and Applications”. Revista Colombiana de Estadística 41, no. 1 (January 1, 2018): 109–135. Accessed January 30, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/66542.

Vancouver

1.
Domma F, Eftekharian A, Afify A, Alizadeh M, Ghosh I. The Odd Log-Logistic Dagum Distribution: Properties and Applications. Rev. colomb. estad. [Internet]. 2018 Jan. 1 [cited 2025 Jan. 30];41(1):109-35. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/66542

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