Semiparametric Regression for the Mean and Rate Functions of Recurrent Events

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2000
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Ranked #37 of 145 articles by views in Journal of the Royal Statistical Society Series B (Statistical Methodology)

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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.
Reference Key
openalex_W2012053212 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors D. Y. Lin, L. J. Wei, Ilsoon Yang, Z. Ying
Journal Journal of the Royal Statistical Society Series B (Statistical Methodology)
Year 2000
DOI
10.1111/1467-9868.00259
URL
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