Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/25803

TitlePresmoothing the Aalen-Johansen estimator in the illness-death model
Author(s)Moreira, Ana
Uña-Álvarez, Jacobo de
Machado, Luís Meira
KeywordsAalen-Johansen
Kaplan-Meier
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.
TypeArticle
URIhttp://hdl.handle.net/1822/25803
DOI10.1214/13-ejs816
ISSN1935-7524
Publisher versionhttp://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.ejs/1369148601
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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