Published

2024-01-01

Application of the New Extended Topp-Leone Distribution to Complete and Censored Data

Aplicación de la nueva distribución extendida Topp-Leone a datos completos y censurados

DOI:

https://doi.org/10.15446/rce.v47n1.111899

Keywords:

Gamma distribution, Type II Half Logistic Top Leone-G distribution, Order Statistics, Probability Weighted Moments, Renyi entropy (en)
Distribución gamma, Distribución Tipo II Half Logistic Top Leone-G, Estadísticas de pedidos, Momentos ponderados de probabilidad, Entropía Renyi (es)

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Authors

  • Violet Zivai Nyamajiwa Botswana International University of Science and Technology
  • Regent Retrospect Musekwa Botswana International University of Science and Technology
  • Boikanyo Makubate Botswana International University of Science & Technology https://orcid.org/0000-0002-1581-3165
One of the most important applications of statistical models is in analyzing survival data. In this study, we developed the Gamma Type Two Half Logistic Topp-Leone-G model using the technique earlier proposed by Zografos and Balakrishnan. Different characteristics of the proposed distribution are obtained. In order to estimate the model parameters based on complete and censored data, the maximum likelihood estimation method is used. Through Monte Carlo simulation, the performance of the estimators is evaluated. The proposed distribution's potential significance and applicability are empirically demonstrated using actual datasets. We found that our new distribution is a very competitive model for describing both complete and censored observations in survival analysis. The work demonstrated that in certain cases, our new model performed better than other parametric models with the same number of parameters.
Una de las aplicaciones más importantes de los modelos estadísticos es el análisis de datos de supervivencia. En este estudio, desarrollamos el modelo Gamma Tipo Dos Half Logistic Topp-Leone-G utilizando la técnica propuesta anteriormente por Zografos y Balakrishnan. Se obtienen diferentes características de la propuesta de distribución. Para estimar los parámetros del modelo a partir de datos completos y censurados se utiliza el método de estimación de máxima verosimilitud. A través de la simulación Monte Carlo se evalúa el desempeño de los estimadores. La importancia y aplicabilidad potencial de la propuesta de distribución se demuestra empíricamente utilizando conjuntos de datos reales. Descubrimos que nuestra nueva distribución es un modelo muy competitivo para describir observaciones tanto completas como censuradas en el análisis de supervivencia. El trabajo demostró que, en ciertos casos, nuestro nuevo modelo funcionó mejor que otros modelos paramétricos con la misma cantidad de parámetros.

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How to Cite

APA

Nyamajiwa, V. Z., Musekwa, R. R. and Makubate, B. (2024). Application of the New Extended Topp-Leone Distribution to Complete and Censored Data. Revista Colombiana de Estadística, 47(1), 37–65. https://doi.org/10.15446/rce.v47n1.111899

ACM

[1]
Nyamajiwa, V.Z., Musekwa, R.R. and Makubate, B. 2024. Application of the New Extended Topp-Leone Distribution to Complete and Censored Data. Revista Colombiana de Estadística. 47, 1 (Jan. 2024), 37–65. DOI:https://doi.org/10.15446/rce.v47n1.111899.

ACS

(1)
Nyamajiwa, V. Z.; Musekwa, R. R.; Makubate, B. Application of the New Extended Topp-Leone Distribution to Complete and Censored Data. Rev. colomb. estad. 2024, 47, 37-65.

ABNT

NYAMAJIWA, V. Z.; MUSEKWA, R. R.; MAKUBATE, B. Application of the New Extended Topp-Leone Distribution to Complete and Censored Data. Revista Colombiana de Estadística, [S. l.], v. 47, n. 1, p. 37–65, 2024. DOI: 10.15446/rce.v47n1.111899. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/111899. Acesso em: 10 sep. 2024.

Chicago

Nyamajiwa, Violet Zivai, Regent Retrospect Musekwa, and Boikanyo Makubate. 2024. “Application of the New Extended Topp-Leone Distribution to Complete and Censored Data”. Revista Colombiana De Estadística 47 (1):37-65. https://doi.org/10.15446/rce.v47n1.111899.

Harvard

Nyamajiwa, V. Z., Musekwa, R. R. and Makubate, B. (2024) “Application of the New Extended Topp-Leone Distribution to Complete and Censored Data”, Revista Colombiana de Estadística, 47(1), pp. 37–65. doi: 10.15446/rce.v47n1.111899.

IEEE

[1]
V. Z. Nyamajiwa, R. R. Musekwa, and B. Makubate, “Application of the New Extended Topp-Leone Distribution to Complete and Censored Data”, Rev. colomb. estad., vol. 47, no. 1, pp. 37–65, Jan. 2024.

MLA

Nyamajiwa, V. Z., R. R. Musekwa, and B. Makubate. “Application of the New Extended Topp-Leone Distribution to Complete and Censored Data”. Revista Colombiana de Estadística, vol. 47, no. 1, Jan. 2024, pp. 37-65, doi:10.15446/rce.v47n1.111899.

Turabian

Nyamajiwa, Violet Zivai, Regent Retrospect Musekwa, and Boikanyo Makubate. “Application of the New Extended Topp-Leone Distribution to Complete and Censored Data”. Revista Colombiana de Estadística 47, no. 1 (January 24, 2024): 37–65. Accessed September 10, 2024. https://revistas.unal.edu.co/index.php/estad/article/view/111899.

Vancouver

1.
Nyamajiwa VZ, Musekwa RR, Makubate B. Application of the New Extended Topp-Leone Distribution to Complete and Censored Data. Rev. colomb. estad. [Internet]. 2024 Jan. 24 [cited 2024 Sep. 10];47(1):37-65. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/111899

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CrossRef citations2

1. Regent Retrospect Musekwa, Boikanyo Makubate. (2024). A flexible generalized XLindley distribution with application to engineering. Scientific African, 24, p.e02192. https://doi.org/10.1016/j.sciaf.2024.e02192.

2. Regent Retrospect Musekwa, Lesego Gabaitiri, Boikanyo Makubate. (2024). Application of the Marshall-Olkin-Weibull logarithmic distribution to complete and censored data. Heliyon, 10(14), p.e34170. https://doi.org/10.1016/j.heliyon.2024.e34170.

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