Skip to main content

2017 | OriginalPaper | Buchkapitel

4. Recurrent Event Data with Measurement Error

verfasst von : Grace Y. Yi

Erschienen in: Statistical Analysis with Measurement Error or Misclassification

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

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.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat 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. 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.
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat Cook, R. J. and Lawless, J. F. (2007). The Statistical Analysis of Recurrent Events. Springer Science + Business Media, LLC.MATH Cook, R. J. and Lawless, J. F. (2007). The Statistical Analysis of Recurrent Events. Springer Science + Business Media, LLC.MATH
Zurück zum Zitat Cox, D. R. and Lewis, P. A. W. (1966). The Statistical Analysis of Series of Events. Chapman & Hall/CRC, London.CrossRefMATH Cox, D. R. and Lewis, P. A. W. (1966). The Statistical Analysis of Series of Events. Chapman & Hall/CRC, London.CrossRefMATH
Zurück zum Zitat Fung, K. Y. and Krewski, D. (1999). On measurement error adjustment methods in Poisson regression. Environmetrics, 10, 213–224.CrossRef Fung, K. Y. and Krewski, D. (1999). On measurement error adjustment methods in Poisson regression. Environmetrics, 10, 213–224.CrossRef
Zurück zum Zitat Gruger, J., Kay, R., and Schumacher, M. (1991). The validity of inferences based on incomplete observations in disease state models. Biometrics, 47, 595–605.CrossRef Gruger, J., Kay, R., and Schumacher, M. (1991). The validity of inferences based on incomplete observations in disease state models. Biometrics, 47, 595–605.CrossRef
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat Hougaard, P. (2000). Analysis of Multivariate Survival Data. Springer-Verlag, New York.CrossRefMATH Hougaard, P. (2000). Analysis of Multivariate Survival Data. Springer-Verlag, New York.CrossRefMATH
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat Kalbfleisch, J. D. and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data, 2nd ed., John Wiley & Sons, New York.CrossRefMATH Kalbfleisch, J. D. and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data, 2nd ed., John Wiley & Sons, New York.CrossRefMATH
Zurück zum Zitat Kim, Y.-J. (2007). Analysis of panel count data with measurement errors in the covariates. Journal of Statistical Computation and Simulation, 77, 109–117.MathSciNetCrossRefMATH Kim, Y.-J. (2007). Analysis of panel count data with measurement errors in the covariates. Journal of Statistical Computation and Simulation, 77, 109–117.MathSciNetCrossRefMATH
Zurück zum Zitat Lawless, J. F. (1987). Regression methods for Poisson process data. Journal of the American Statistical Association, 82, 808–815.MathSciNetCrossRefMATH Lawless, J. F. (1987). Regression methods for Poisson process data. Journal of the American Statistical Association, 82, 808–815.MathSciNetCrossRefMATH
Zurück zum Zitat 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.CrossRefMATH 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.CrossRefMATH
Zurück zum Zitat Martinussen, T. and Scheike, T. H. (2006). Dynamic Regression Models for Survival Data. Springer, New York.MATH Martinussen, T. and Scheike, T. H. (2006). Dynamic Regression Models for Survival Data. Springer, New York.MATH
Zurück zum Zitat McGilchrist, C. A. and Aisbett, C. W. (1991). Regression with frailty in survival analysis. Biometrics, 47, 461–466.CrossRef McGilchrist, C. A. and Aisbett, C. W. (1991). Regression with frailty in survival analysis. Biometrics, 47, 461–466.CrossRef
Zurück zum Zitat Sun, J. (2006). The Statistical Analysis of Interval-Censored Failure Time Data. Springer, New York.MATH Sun, J. (2006). The Statistical Analysis of Interval-Censored Failure Time Data. Springer, New York.MATH
Zurück zum Zitat 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, 293–302MathSciNetCrossRef 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, 293–302MathSciNetCrossRef
Zurück zum Zitat Therneau, T. M. and Grambsch, P. M. (2000). Modeling Survival Data: Extending the Cox Model. Springer, New York.CrossRefMATH Therneau, T. M. and Grambsch, P. M. (2000). Modeling Survival Data: Extending the Cox Model. Springer, New York.CrossRefMATH
Zurück zum Zitat 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.CrossRef 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.CrossRef
Zurück zum Zitat Veierød, M. and Laake, P. (2001). Exposure misclassification: Bias in category specific Poisson regression coefficients. Statistics in Medicine, 20, 771–784. Veierød, M. and Laake, P. (2001). Exposure misclassification: Bias in category specific Poisson regression coefficients. Statistics in Medicine, 20, 771–784.
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat 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.CrossRefMATH 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.CrossRefMATH
Zurück zum Zitat Zeng, D. and Cai, J. (2010). A semiparametric additive rate model for recurrent events with an informative terminal event. Biometrika, 97, 699–712.MathSciNetCrossRefMATH Zeng, D. and Cai, J. (2010). A semiparametric additive rate model for recurrent events with an informative terminal event. Biometrika, 97, 699–712.MathSciNetCrossRefMATH
Metadaten
Titel
Recurrent Event Data with Measurement Error
verfasst von
Grace Y. Yi
Copyright-Jahr
2017
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4939-6640-0_4