Skip to main content

Recurrent Event Data with Measurement Error

  • Chapter
  • First Online:
Statistical Analysis with Measurement Error or Misclassification

Part of the book series: Springer Series in Statistics ((SSS))

  • 2783 Accesses

Abstract

Recurrent event data arise commonly in public health and medical studies. While analysis of such data has similarities to that of survival data for many settings, recurrent event data have their own special features. Compared to the extensive attention given to survival data with covariate measurement error, there are relatively limited discussions on analysis of error-prone recurrent event data. In this chapter, we discuss several models and methods to shed light on this topic.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Chen, B., Yi, G. Y., and Cook, R. J. (2010a). Analysis of interval-censored disease progression data via multi-state models under a nonignorable inspection process. Statistics in Medicine, 29, 1175–1189.

    Google Scholar 

  • Chen, B., Yi, G. Y., and Cook, R. J. (2011). Progressive multi-state models for informatively incomplete longitudinal data. Journal of Statistical Planning and Inference, 141, 80–93.

    Article  MathSciNet  MATH  Google Scholar 

  • Cook, R. J. and Lawless, J. F. (2007). The Statistical Analysis of Recurrent Events. Springer Science + Business Media, LLC.

    MATH  Google Scholar 

  • Cox, D. R. and Lewis, P. A. W. (1966). The Statistical Analysis of Series of Events. Chapman & Hall/CRC, London.

    Book  MATH  Google Scholar 

  • Fung, K. Y. and Krewski, D. (1999). On measurement error adjustment methods in Poisson regression. Environmetrics, 10, 213–224.

    Article  Google Scholar 

  • Gruger, J., Kay, R., and Schumacher, M. (1991). The validity of inferences based on incomplete observations in disease state models. Biometrics, 47, 595–605.

    Article  Google Scholar 

  • Guo, J. Q. and Li, T. (2002). Poisson regression models with errors-in-variables: implication and treatment. Journal of Statistical Planning and Inference, 104, 391–401.

    Article  MathSciNet  MATH  Google Scholar 

  • Hougaard, P. (2000). Analysis of Multivariate Survival Data. Springer-Verlag, New York.

    Book  MATH  Google Scholar 

  • Jiang, W., Turnbull, B. W., and Clark, L. C. (1999). Semiparametric regression models for repeated events with random effects and measurement error. Journal of the American Statistical Association, 94, 111–124.

    Article  MathSciNet  MATH  Google Scholar 

  • Kalbfleisch, J. D. and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data, 2nd ed., John Wiley & Sons, New York.

    Book  MATH  Google Scholar 

  • Kim, Y.-J. (2007). Analysis of panel count data with measurement errors in the covariates. Journal of Statistical Computation and Simulation, 77, 109–117.

    Article  MathSciNet  MATH  Google Scholar 

  • Lawless, J. F. (1987). Regression methods for Poisson process data. Journal of the American Statistical Association, 82, 808–815.

    Article  MathSciNet  MATH  Google Scholar 

  • Lawless, J. F. and Zhan, M. (1998). Analysis of interval-grouped recurrent-event data using piecewise constant rate functions. The Canadian Journal of Statistics, 26, 549–565.

    Article  MATH  Google Scholar 

  • Martinussen, T. and Scheike, T. H. (2006). Dynamic Regression Models for Survival Data. Springer, New York.

    MATH  Google Scholar 

  • McGilchrist, C. A. and Aisbett, C. W. (1991). Regression with frailty in survival analysis. Biometrics, 47, 461–466.

    Article  Google Scholar 

  • Sun, J. (2006). The Statistical Analysis of Interval-Censored Failure Time Data. Springer, New York.

    MATH  Google Scholar 

  • Sun, J. and Wei, L. J. (2000). Regression analysis of panel count data with covariate-dependent observation and censoring times. Journal of the Royal Statistical Society, Series B, 62, 293–302

    Article  MathSciNet  Google Scholar 

  • Therneau, T. M. and Grambsch, P. M. (2000). Modeling Survival Data: Extending the Cox Model. Springer, New York.

    Book  MATH  Google Scholar 

  • Turnbull, B. W., Jiang, W., and Clark, L. C. (1997). Regression models for recurrent event data: Parametric random effects models with measurement error. Statistics in Medicine, 16, 853–864.

    Article  Google Scholar 

  • Veierød, M. and Laake, P. (2001). Exposure misclassification: Bias in category specific Poisson regression coefficients. Statistics in Medicine, 20, 771–784.

    Google Scholar 

  • Wang, M. C., Qin, J., and Chiang, C.-T. (2001). Analyzing recurrent event data with informative censoring. Journal of the American Statistical Association, 96, 1057–1065.

    Article  MathSciNet  MATH  Google Scholar 

  • Yi, G. Y. and Lawless, J. F. (2012). Likelihood-based and marginal inference methods for recurrent event data with covariate measurement error. The Canadian Journal of Statistics, 40, 530–549.

    Article  MathSciNet  MATH  Google Scholar 

  • Zeger, S. L. and Edelstein, S. L. (1989). Poisson regression with a surrogate X; An analysis of Vitamin A and Indonesian children’s mortality. Applied Statistics, 38, 309–318.

    Article  MATH  Google Scholar 

  • Zeng, D. and Cai, J. (2010). A semiparametric additive rate model for recurrent events with an informative terminal event. Biometrika, 97, 699–712.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Yi, G.Y. (2017). Recurrent Event Data with Measurement Error. In: Statistical Analysis with Measurement Error or Misclassification. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6640-0_4

Download citation

Publish with us

Policies and ethics