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- Recurrent Events Analysis in the Presence of Time Dependent Covariates and Dependent Censoring
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- Maja Miloslavsky, Division of Biostatistics, School of Public Health, University of California, Berkeley
- Sunduz Keles, Division of Biostatistics, School of Public Health, University of California, Berkeley
- Mark J. van der Laan, Division of Biostatistics, School of Public Health, University of California, Berkeley
- Steve Butler, Genentech, Inc., South San Francisco, CA
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- Published 2003 in
Journal of the Royal Statistical Society,
Series B, 66, Part 1, pp. 239-257.
- Abstract:
- Recurrent events models have lately received a lot of attention in the
literature. The majority of approaches discussed show the consistency of
parameter estimates under the assumption that censoring is independent
of the recurrent events process of interest conditional on the
covariates included into the model. We provide an overview of available
recurrent events analysis methods, and present an inverse
probability of censoring weighted estimator for the regression
parameters in the Andersen-Gill model that is commonly used for
recurrent event analysis. This estimator remains consistent under
informative censoring if the censoring mechanism is estimated
consistently, and generally improves on the naive estimator for the
Anderson-Gill
model in the case of independent censoring.
We illustrate the bias of ad hoc estimators
in the presence of informative censoring
with a simulation study and
provide a data analysis of recurrent lung exacerbations in cystic
fibrosis patients when some patients are lost to follow up.
- Subject Area:
- Statistical Models, Statistical Theory and Methods, Survival Analysis
- Suggested Citation:
- Maja Miloslavsky, Sunduz Keles, Mark J. van der Laan, and Steve Butler,
"Recurrent Events Analysis in the Presence of Time Dependent Covariates and Dependent Censoring"
(December 2002).
U.C. Berkeley Division of Biostatistics Working Paper Series.
Working Paper 123.
http://www.bepress.com/ucbbiostat/paper123