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Nonparametric Inference for the Recurrent Event Data with Incomplete Observation Gaps

 Jin Heum Kim  ;  Chung Mo Nam  ;  Yang Jin Kim 
 Korean Journal of Applied Statistics (응용통계연구), Vol.25(4) : 621-632, 2012 
Journal Title
 Korean Journal of Applied Statistics (응용통계연구) 
Issue Date
Cumulative mean function ; interval censoring ; observation gaps ; recurrent event data ; Young Traffic Offenders Program
Recurrent event data can be easily found in longitudinal studies such as clinical trials, reliability fields, and the social sciences; however, there are a few observations that disappear temporarily in sight during the follow-up and then suddenly reappear without notice like the Young Traffic Offenders Program(YTOP) data collected by Farmer et al. (2000). In this article we focused on inference for a cumulative mean function of the recurrent event data with these incomplete observation gaps. Defining a corresponding risk set would be easily accomplished if we know the exact intervals where the observation gaps occur. However, when they are incomplete (if their starting times are known but their terminating times are unknown) we need to estimate a distribution function for the terminating times of the observation gaps. To accomplish this, we treated them as interval-censored and then estimated their distribution using the EM algorithm proposed by Turnbull (1976). We proposed a nonparametric estimator for the cumulative mean function and also a nonparametric test to compare the cumulative mean functions of two groups. Through simulation we investigated the finite-sample performance of the proposed estimator and proposed test. Finally, we applied the proposed methods to YTOP data.
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1. College of Medicine (의과대학) > Dept. of Preventive Medicine and Public Health (예방의학교실) > 1. Journal Papers
Yonsei Authors
Nam, Chung Mo(남정모) ORCID logo https://orcid.org/0000-0003-0985-0928
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