Abstract
In this chapter we consider problems met in modelling data of the following type. For a given individual, we observe the age at the time of death, say T, and the cause of the death, say A, among a finite set of possible causes, say E = {1, 2, ... , p}. The finite character of A may raise difficulties in applications where, for instance, the number of causes may increase with time without a priori given limits; this is the case of mutating viruses for instance. In such situations, A might be conceptually infinite; this feature would call for modification of the models to be presented. For statistical purposes, models typically consider a finite number of precisely defined causes along with a “residual” cause that gathers all other possible causes; this residual cause is often treated as a censoring state.
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References
Crowder, M. (1994), Identifiability Crises in Competing Risks, International Statistical Review, 62, pp. 379 - 391.
David, H.A. and M.L. Moeschberger, (1978), The Theory of Competing Risks. London: Griffin. Heckman, J.J. and B.E. Honore, (1989), The Identifiability of the Competing Risks Models, Biometrika, 76, pp. 325 - 330.
Johnson, N.L. and S. Kotz, (1972), Continuous Multivariate Distributions. New York: Wiley. Kalbfleisch, J.D. and R.L. Prentice, ( 1980 ), The Statistical Analysis of Failure Time Data. New York: Wiley.
Marshall, A.W. and I. Olkin, (1967), A Multivariate Exponential Distribution, Journal of the American Statistical Association, 62, pp. 30 - 44.
Miller, D.R. (1977), A Note on Independence of Multivariate Lifetimes in Competing Risks Models, The Annals of Statistics, 5, pp. 576 - 579.
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Mouchart, M., Rolin, JM. (2002). Competing risks models: Problems of modelling and of identification. In: Wunsch, G., Mouchart, M., Duchêne, J. (eds) The Life Table. European Studies of Population, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3381-6_11
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DOI: https://doi.org/10.1007/978-94-017-3381-6_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6025-9
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