Presmoothing the transition probabilities in the illness-death model
One major goal in clinical applications of multi-state models is the estimation of transition probabilities. In a recent paper, Meira-Machado et al. (2006) introduce a substitute for the Aalen-Johansen estimator in the case of a non-Markov illness-death model. The idea behind their estimator is to weight the data by the Kaplan-Meier weights pertaining to the distribution of the total survival time of the process. In this paper we propose a modification of Meira-Machado et al. (2006) estimator based on presmoothing. Consistency is established. We investigate the finite sample performance of the new estimator through simulations. Data from a study on colon cancer are used for illustration purposes.
Year of publication: |
2011
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Authors: | Amorim, Ana Paula ; de Uña-Álvarez, Jacobo ; Meira-Machado, Luís |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 7, p. 797-806
|
Publisher: |
Elsevier |
Keywords: | Kaplan-Meier Markov condition Multi-state models Semiparametric censorship |
Saved in:
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