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Semiparametric Analysis of Correlated Recurrent and Terminal Events
Author(s) -
Ye Yining,
Kalbfleisch John D.,
Schaubel Douglas E.
Publication year - 2007
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2006.00677.x
Subject(s) - marginal model , estimator , statistics , event (particle physics) , proportional hazards model , terminal (telecommunication) , poisson regression , computer science , survival analysis , regression analysis , econometrics , mathematics , medicine , population , quantum mechanics , telecommunications , physics , environmental health
Summary In clinical and observational studies, recurrent event data (e.g., hospitalization) with a terminal event (e.g., death) are often encountered. In many instances, the terminal event is strongly correlated with the recurrent event process. In this article, we propose a semiparametric method to jointly model the recurrent and terminal event processes. The dependence is modeled by a shared gamma frailty that is included in both the recurrent event rate and terminal event hazard function. Marginal models are used to estimate the regression effects on the terminal and recurrent event processes, and a Poisson model is used to estimate the dispersion of the frailty variable. A sandwich estimator is used to achieve additional robustness. An analysis of hospitalization data for patients in the peritoneal dialysis study is presented to illustrate the proposed method.