Semiparametric estimation of the accelerated mean model with panel count data under informative examination times

Sy Han Chiou, Gongjun Xu, Jun Yan, Chiung Yu Huang

Research output: Contribution to journalArticle

Abstract

Panel count data arise when the number of recurrent events experienced by each subject is observed intermittently at discrete examination times. The examination time process can be informative about the underlying recurrent event process even after conditioning on covariates. We consider a semiparametric accelerated mean model for the recurrent event process and allow the two processes to be correlated through a shared frailty. The regression parameters have a simple marginal interpretation of modifying the time scale of the cumulative mean function of the event process. A novel estimation procedure for the regression parameters and the baseline rate function is proposed based on a conditioning technique. In contrast to existing methods, the proposed method is robust in the sense that it requires neither the strong Poisson-type assumption for the underlying recurrent event process nor a parametric assumption on the distribution of the unobserved frailty. Moreover, the distribution of the examination time process is left unspecified, allowing for arbitrary dependence between the two processes. Asymptotic consistency of the estimator is established, and the variance of the estimator is estimated by a model-based smoothed bootstrap procedure. Numerical studies demonstrated that the proposed point estimator and variance estimator perform well with practical sample sizes. The methods are applied to data from a skin cancer chemoprevention trial.

Original languageEnglish (US)
JournalBiometrics
DOIs
StateAccepted/In press - Jan 1 2018
Externally publishedYes

Fingerprint

Semiparametric Estimation
Count Data
Panel Data
Recurrent Events
Skin
Frailty
chemoprevention
methodology
Estimator
Conditioning
Model
Chemoprevention
Skin Neoplasms
Smoothed Bootstrap
Regression
Sample Size
Rate Function
Variance Estimator
Covariates
Numerical Study

Keywords

  • Frailty
  • Model-based bootstrap
  • Poisson process
  • Recurrent events
  • Scale-change model
  • Squared extrapolation method

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Semiparametric estimation of the accelerated mean model with panel count data under informative examination times. / Chiou, Sy Han; Xu, Gongjun; Yan, Jun; Huang, Chiung Yu.

In: Biometrics, 01.01.2018.

Research output: Contribution to journalArticle

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