Published

2019-01-01

Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia

Modelo para datos con riesgos semi competitivos: una aplicación a insuficiencia renal crónica en Colombia

DOI:

https://doi.org/10.15446/rce.v42n1.68572

Keywords:

Archimedean Copula, Frailty model, Semicompeting risks, Survival (en)
Cópulas arquimedianas, Modelo de fragilidad, Riesgos semicompetitivos, Supervivencia (es)

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Authors

  • Elizabeth González Patiño University of São Paulo
  • Gisela Tunes University of São Paulo
  • Maria Isabel Munera Hospital Pablo Tobón Uribe, Medellin

In this paper, the structure of semicompeting risks data, dened by Fine, Jiang & Chappell (2001), is studied. Two events are of interest: a nonterminal and a terminal event, the last one, can censor the non-terminal event, but not vice versa. Due to the possible dependence between the times until the occurrence of such events, two approaches are evaluated: modelling the bivariate survival function through Archimedean copulas and a shared frailty model. A simulation is conducted to examine its performance and both approaches are applied to a real data set of patients with chronic kidney disease (CKD).

En este trabajo se estudia la estructura de datos con riesgos semicompetitivos denida por Fine et al. (2001). En esta estructura existen dos eventos de interés; uno intermedio y otro terminal, este último puede censurar el evento intermedio, pero no viceversa. Dada la posible dependencia, entre los tiempos hasta la ocurrencia de tales eventos, dos tipos de enfoques son evaluados: uno, modelando la función de supervivencia bivariada a través de cópulas Arquimedianas y el outro por medio de un modelo con fragilidad compartida. El desempeño se observa através de simulación. Ambos enfoques son aplicados a un conjunto de datos reales de pacientes con insuciencia renal crónica, que pueden o no presentar una recaída de la enfermedad luego de ser tratados con diálisis.

References

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Cuenta del Alto Costo (2014), Fondo Colombiano de Enfermedades de Alto Costo. Enfermedad Renal Crónica en Colombia. Resolución 4700 de 2008, Bogotá.

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Fine, J., Jiang, H. & Chappell, R. (2001), 'On semicompeting risk', Biometrika 88, 907-919.

Fiocco, M., Putter, H. & van Houwelingen, H. (2008), 'Reduced-rank proportional hazards regression and simulation-based prediction for multi-state models', Statistics in Medicine 27, 4340-4358.

Fix, E. & Neyman, J. (1951), 'A simple stochastic model for recovery, relapse, death and loss of patients', Human Biology 23, 205241.

Gómez, R. A. (2006), 'Renal disease in colombia', Renal failure 28, 643-647.

Hanley, J. A. & Parnes, M. N. (1983), 'Nonparametric estimation of a multivariate distribution in the presence of censoring', Biometrics 39, 129-139.

Hsieh, J., Wang, W. & Ding, A. (2008), 'Regression analysis based on semicompeting risk data', Journal of the Royal Statistical Society, Serie B 70, 3-20.

Jiang, H., Fine, J., Kosorok, R. & Chappell, R. (2005), 'Pseudo self-consistent estimation of a copula model with informative censoring', Scandinavian Journal of Statistics 32, 1-20.

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How to Cite

APA

González Patiño, E., Tunes, G. and Munera, M. I. (2019). Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia. Revista Colombiana de Estadística, 42(1), 35–59. https://doi.org/10.15446/rce.v42n1.68572

ACM

[1]
González Patiño, E., Tunes, G. and Munera, M.I. 2019. Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia. Revista Colombiana de Estadística. 42, 1 (Jan. 2019), 35–59. DOI:https://doi.org/10.15446/rce.v42n1.68572.

ACS

(1)
González Patiño, E.; Tunes, G.; Munera, M. I. Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia. Rev. colomb. estad. 2019, 42, 35-59.

ABNT

GONZÁLEZ PATIÑO, E.; TUNES, G.; MUNERA, M. I. Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia. Revista Colombiana de Estadística, [S. l.], v. 42, n. 1, p. 35–59, 2019. DOI: 10.15446/rce.v42n1.68572. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/68572. Acesso em: 28 mar. 2024.

Chicago

González Patiño, Elizabeth, Gisela Tunes, and Maria Isabel Munera. 2019. “Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia”. Revista Colombiana De Estadística 42 (1):35-59. https://doi.org/10.15446/rce.v42n1.68572.

Harvard

González Patiño, E., Tunes, G. and Munera, M. I. (2019) “Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia”, Revista Colombiana de Estadística, 42(1), pp. 35–59. doi: 10.15446/rce.v42n1.68572.

IEEE

[1]
E. González Patiño, G. Tunes, and M. I. Munera, “Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia”, Rev. colomb. estad., vol. 42, no. 1, pp. 35–59, Jan. 2019.

MLA

González Patiño, E., G. Tunes, and M. I. Munera. “Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia”. Revista Colombiana de Estadística, vol. 42, no. 1, Jan. 2019, pp. 35-59, doi:10.15446/rce.v42n1.68572.

Turabian

González Patiño, Elizabeth, Gisela Tunes, and Maria Isabel Munera. “Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia”. Revista Colombiana de Estadística 42, no. 1 (January 1, 2019): 35–59. Accessed March 28, 2024. https://revistas.unal.edu.co/index.php/estad/article/view/68572.

Vancouver

1.
González Patiño E, Tunes G, Munera MI. Modeling Data With Semicompeting Risks: An Application to Chronic Kidney Disease in Colombia. Rev. colomb. estad. [Internet]. 2019 Jan. 1 [cited 2024 Mar. 28];42(1):35-59. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/68572

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