Cited by 969Statistical Methods and InferenceProbability and Statistical ResearchStatistical Distribution Estimation and Applications

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Semiparametric Regression for the Mean and Rate Functions of Recurrent Events

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Lin, D. Y., Wei, L. J., Yang, I., Ying, Z.·2000·Journal of the Royal Statistical Society Series B: Statistical Methodology

DOI 10.1111/1467-9868.00259

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Abstract

Summary: The counting process with the Cox-type intensity function has been commonly used to analyse recurrent event data. This model essentially assumes that the underlying counting process is a time-transformed Poisson process and that the covariates have multiplicative effects on the mean and rate function of the counting process. Recently, Pepe and Cai, and Lawless and co-workers have proposed semiparametric procedures for making inferences about the mean and rate function of the counting process without the Poisson-type assumption. In this paper, we provide a rigorous justification of such robust procedures through modern empirical process theory. Furthermore, we present an approach to constructing simultaneous confidence bands for the mean function and describe a class of graphical and numerical techniques for checking the adequacy of the fitted mean–rate model. The advantages of the robust procedures are demonstrated through simulation studies. An illustration with multiple-infection data taken from a clinical study on chronic granulomatous disease is also provided.

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Authors: Lin, D. Y., Wei, L. J., Yang, I., & Ying, Z.
Affiliations: University of Washington (US)
Harvard University (US)
Schering-Plough Research Institute , Kenilworth , USA
Rutgers, The State University of New Jersey (US)
Corresponding author: Lin, D. Y.
ORCID: Lin, D. Y.
Wei, L. J.
Venue: Journal of the Royal Statistical Society Series B: Statistical Methodology
Publisher: Oxford University Press (OUP)
Published: 2000-11-01
Volume: 62
Issue: 4
Pages: 711-730
ISSN: 1369-7412 (ISSN-L)
1467-9868
DOI: 10.1111/1467-9868.00259
OpenAlex: W2012053212
Cited by: 969
References: 18
Citations by year: 2026: 47 · 2025: 67 · 2024: 70 · 2023: 57 · 2022: 56 · 2021: 51 · 2020: 55 · 2019: 44 · 2018: 53 · 2017: 38 · 2016: 36 · 2015: 45 · 2014: 55 · 2013: 38 · 2012: 38
FWCI: 10.55
Type: journal article
Language: en
Open access: green
doi.org
Licence: academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model (vor)
Locations: Journal of the Royal Statistical Society Series B (Statistical Methodology) (publishedVersion)
Carolina Digital Repository (University of North Carolina at Chapel Hill) (submittedVersion)
RePEc: Research Papers in Economics (submittedVersion)
UNC Libraries
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
Keywords: recurrent event data, semiparametric regression, mean function, rate function, counting processes, empirical process theory, simultaneous confidence bands, model adequacy assessment, co-infection, chronic granulomatous disease

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Semiparametric Regression for the Mean and Rate Functions of Recurrent Events

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