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TitlePresmoothing the Aalen-Johansen estimator in the illness-death model
Author(s)Moreira, Ana
Uña-Álvarez, Jacobo de
Machado, Luís Meira
Markov condition
Multi-state models
Semiparametric censorship
Issue date22-May-2013
PublisherInstitute of Mathematical Statistics (IMS)
JournalElectronic Journal of Statistics
Abstract(s)One major goal in clinical applications of multi-state models is the estimation of transition probabilities. The usual nonparametric estimator of the transition matrix for non-homogeneous Markov processes is the Aalen-Johansen estimator (Aalen and Johansen 1978 [1]). In this paper we propose a modification of the Aalen-Johansen estimator in the illness-death model based on presmoothing. The consistency of the proposed estimators is formally established. Simulations show that the presmoothed estimators may be much more efficient than the Aalen-Johansen estimator. A real data illustration is included.
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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