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Lifetime Data Analysis

, Volume 15, Issue 2, pp 177–196 | Cite as

Semiparametric analysis of panel count data with correlated observation and follow-up times

  • Xin He
  • Xingwei Tong
  • Jianguo Sun
Article

Abstract

This paper discusses regression analysis of panel count data that often arise in longitudinal studies concerning occurrence rates of certain recurrent events. Panel count data mean that each study subject is observed only at discrete time points rather than under continuous observation. Furthermore, both observation and follow-up times can vary from subject to subject and may be correlated with the recurrent events. For inference, we propose some shared frailty models and estimating equations are developed for estimation of regression parameters. The proposed estimates are consistent and have asymptotically a normal distribution. The finite sample properties of the proposed estimates are investigated through simulation and an illustrative example from a cancer study is provided.

Keywords

Estimating equation Informative follow-up time Informative observation times Mean function model Regression analysis 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Division of Biostatistics, College of Public HealthThe Ohio State UniversityColumbusUSA
  2. 2.School of Mathematical SciencesBeijing Normal UniversityBeijingPeople’s Republic of China
  3. 3.Department of StatisticsUniversity of MissouriColumbiaUSA

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