Abstract #301675

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JSM 2003 Abstract #301675
Activity Number: 372
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #301675
Title: Varying-Coefficient Model for the Occurrence Rate Function of Recurrent Events
Author(s): Chin-Tsang Chiang*+
Companies: National Taiwan University
Address: Department of Mathematics, Taipei, , 106, Taiwan
Keywords: independent censoring ; partial likelihood function ; rate function ; recurrent event ; smoothing estimator ; varying-coefficient model
Abstract:

Statistical analyses for recurrent event data are often required to estimate the occurrence rate function of the recurrent event process, and to detect the effects of possible covariates on the recurrent event process. This study mainly considers the recurrent event process with independent censoring mechanism through a more flexible varying-coefficient model. The smoothing estimators, which are proposed via maximizing the kernel weight version of the log-partial likelihood function with respect to the coefficients at each time point, for the varying-coefficients are proposed. In addition, the consistent empirical smoothing estimators for the covariance functions of the estimators and a bias correction method are used in the bandwidth selection and the construction of confidence intervals. As for the baseline effect of recurrent events in the population, two smoothing methods are suggested and investigated. In this study the asymptotic properties of our smoothing estimators are also developed. The finite sample properties of the proposed methods are examined through a Monte Carlo simulation, and the proposed procedures are pplied to a recurrent sample of ALIVE cohort study.

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