Nonparametric Estimation of a Recurrent Survival Function
作者:
Mei-Cheng Wang,
Shu-Hui Chang,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1999)
卷期:
Volume 94,
issue 445
页码: 146-153
ISSN:0162-1459
年代: 1999
DOI:10.1080/01621459.1999.10473831
出版商: Taylor & Francis Group
关键词: Correlated survival data;Frailty;Kaplan-Meier estimate;Longitudinal designs;Recurrent event
数据来源: Taylor
摘要:
Recurrent event data are frequently encountered in studies with longitudinal designs. Let the recurrence time be the time between two successive recurrent events. Recurrence times can be treated as a type of correlated survival data in statistical analysis. In general, because of the ordinal nature of recurrence times, statistical methods that are appropriate for standard correlated survival data in marginal models may not be applicable to recurrence time data. Specifically, for estimating the marginal survival function, the Kaplan–Meier estimator derived from the pooled recurrence times serves as a consistent estimator for standard correlated survival data but not for recurrence time data. In this article we consider the problem of how to estimate the marginal survival function in nonparametric models. A class of nonparametric estimators is introduced. The appropriateness of the estimators is confirmed by statistical theory and simulations. Simulation and analysis from schizophrenia data are presented to illustrate the estimators' performance.
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