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Presmoothing the Aalen-Johansen estimator in the illness-death model

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Presmoothing the Aalen-Johansen estimator in the illness-death model

Moreira, Ana; De Uña Alvarez, Jacobo; Machado, Luís Filipe Meira
 
DATE : 2013
UNIVERSAL IDENTIFIER : http://hdl.handle.net/11093/1033
UNESCO SUBJECT : 1209 Estadística
DOCUMENT TYPE : article

ABSTRACT :

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.

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