[1] Heckman, J.J. and Honoré, B.E. (1989) The Identifiability of the Competing Risks Models. Biometrika, 77, 325-330.
https://www.jstor.org/stable/2336666
https://doi.org/10.1093/biomet/76.2.325
[2] Commemges, D. (2017) Risques compétitifs et modèles multi-états en épidemiologie. Revue d’épidémiologie et de santé publique Elsevier Masson, 77, 605-611.
[3] Com-Nougué, C., Guérin, S. and Rey, A. (1999) Estimation des risques associés à des événements multiples. Revue d’épidémiologie et de Santé Publique, 47, 75-85.
[4] Fine, J.P. and Gray, R.J. (1999) A Proportional Hazards Model for the Subdistribution of a Competing Risk. Journal of the American Statistical Association, 94, 496-509.
https://www.jstor.org/stable/2670170
https://doi.org/10.1080/01621459.1999.10474144
[5] Crowder, M. (2001) Classical Competing Risks. Chapman and Hall, London.
[6] Fermanian, J.D. (2003) Nonparametric Estimation of Competing Risks Models with Covariates. Journal of Multivariate Analysis, 85, 156-191.
https://doi.org/10.1016/S0047-259X(02)00069-6
[7] Latouche, M. (2004) Modèles de régression en présence de compétition. Thèse de doctorat, Université de Paris, Paris, 6.
https://tel.archives-ouvertes.fr/tel-00129238
[8] Geffray, S. (2009) Strong Approximations for Dependent Competing Risks with Independent Censoring with Statistical Applications. Test, 18, 76-95.
https://doi.org/10.1007/s11749-008-0113-y
[9] Belot, A. (2009) Modélisation flexible des données de survie en présence de risques concurrents et apports de la mthode du taux en excès. Thèse de doctorat, Université de la Méditerranée, Marseille.
[10] Njamen, N.D.A. and Ngatchou, W.J. (2014) Nelson-Aalen and Kaplan-Meier Estimators in Competing Risks. Applied Mathematics, 5, 765-776.
https://doi.org/10.4236/am.2014.54073
[11] Njamen, N.D.A. and Ngatchou, W.J. (2018) Consistency of the Kaplan-Meier Estimator of the Survival Function in Competiting Risks. The Open Statistics and Probability Journal, 9, 1-17.
https://benthamopen.com/TOSPJ/home
https://doi.org/10.2174/1876527001809010001
[12] Njamen, N.D.A. (2017) Convergence of the Nelson-Aalen Estimator in Competing Risks. International Journal of Statistics and Probability, 6, 9-23.
https://doi.org/10.5539/ijsp.v6n3p9
[13] Njamen, N.D.A. (2018) Study of the Nonparametric Kaplan-Meier Estimator of the Cumulative Incidence Function in Competiting Risks. Journal of Advanced Statistics, 3, 1-13.
https://doi.org/10.22606/jas.2018.31001
[14] Aalen, O.O. and Johansen, S. (1978) An Empirical Transition Matrix for Non-Homogeneous Markov Chains Based on Censored Observations. Scandinavian Journal of Statistics, 5, 141-150.
https://www.jstor.org/stable/4615704
[15] Peterson, G.L. (1977) A Simplification of the Protein Assay Method of Lowry et al. Which Is More Generally Applicable. Analytical Biochemistry, 83, 346-356.
https://doi.org/10.1016/0003-2697(77)90043-4
[16] Andersen, P.K., Borgan, Ø., Gill, R.D. and Keiding, N. (1993) Statistical Models Based on Counting Processes. Springer Series in Statistics, Spring-Verlag, New York.
[17] Shorack, G.R. and Wellner, J.A. (1986) Empirical Processes with Applications to Statistics. John Wiley and Sons, Inc., New York.
[18] Breslow, N. and Crowley, J. (1974) A Large Sample Study of the Life Table and Product-Limit Estimates under Random Censorship. The Annals of Statistics, 2, 437-453.
https://www.jstor.org/stable/2958131
https://doi.org/10.1214/aos/1176342705
[19] Nelson, W. (1972) A Short Life Test for Comparing a Sample with Previous Accelerated Test Results. Technometrics, 14, 175-185.
https://www.jstor.org/stable/1266929
https://doi.org/10.1080/00401706.1972.10488894
[20] Aalen, O.O. (1978) Nonparametric Inference for a Family of Counting Processes. The Annals of Statistics, 6, 701-726.
https://www.jstor.org/stable/2958850
https://doi.org/10.1214/aos/1176344247
[21] Fleming, T.R. and Harrington, D.P. (1990) Counting Processes and Survival Analysis. John Wiley and Sons, Hoboken.
[22] Breuils, C. (2003) Analyse de Durées de Vie: Analyse Séquentielle du Modèle des Risques Proportionnels et Tests d’Homogénéité. Thèse de doctorat, Université de Technologie de Compiégne, Compiègne.
https://tel.archives-ouvertes.fr/tel-00005524
[23] Kaplan, E.L. and Meier, P. (1958) Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53, 457-481.
https://www.jstor.org/stable/2281868
https://doi.org/10.1080/01621459.1958.10501452
[24] Hall, W.J. and Wellner, J.A. (1980) Confidence Bands for a Survival Curve. Biometrika, 67, 133-143.
https://www.jstor.org/stable/2335326
https://doi.org/10.1093/biomet/67.1.133
[25] Nair, V.N. (1984) Confidence Bands for Survival Functions with Censored Data: A Comparative Study. Technometrics, 26, 265-275.
https://www.jstor.org/stable/1267553
https://doi.org/10.1080/00401706.1984.10487964