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TitleEstimation of the bivariate distribution function for censored gap times
Author(s)Moreira, Ana Cristina
Araújo, Artur Agostinho
Machado, Luís Meira
KeywordsGap times
Multi-state model
Nonparametric estimation
Simulation study
Issue date2017
PublisherTaylor & Francis
JournalCommunications in Statistics - Simulation and Computation
Abstract(s)In many medical studies, patients may experience several events during follow-up. The times between consecutive events (gap times) are often of interest and lead to problems that have received much attention recently. In this work we consider the estimation of the bivariate distribution function for censored gap times. Some related problems such as the estimation of the marginal distribution of the second gap time and the conditional distribution are also discussed. In this paper we introduce a nonparametric estimator of the bivariate distribution function based on Bayes' theorem and Kaplan-Meier survival function and explore the behavior of the four estimators through simulations. Real data illustration is included.
DescriptionFirst published online: 12 Dec 2014
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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