A nonparametric regression model for panel count data analysis

Huadong Zhao, Ying Zhang, Xingqiu Zhao, Zhangsheng Yu

Research output: Contribution to journalArticle

Abstract

Panel count data are commonly encountered in analysis of recurrent events where the exact event times are unobserved. To accommodate the potential non-linear covariate effect, we consider a non-parametric regression model for panel count data. The regression B-splines method is used to estimate the regression function and the baseline mean function. The B-splines-based estimation is shown to be consistent and the rate of convergence is obtained. Moreover, the asymptotic normality for a class of smooth functionals of regression splines estimators is established. Numerical studies were carried out to evaluate the finite sample properties. Finally, we applied the proposed method to analyze the non-linear effect of one of interleukin functions with the risk of childhood wheezing.

Original languageEnglish (US)
Pages (from-to)809-826
Number of pages18
JournalStatistica Sinica
Volume29
Issue number2
DOIs
StatePublished - Jan 1 2019
Externally publishedYes

Fingerprint

Count Data
Nonparametric Model
Panel Data
Nonparametric Regression
B-spline
Regression Model
Data analysis
Regression Splines
Recurrent Events
Interleukin
Nonlinear Effects
Regression Function
Asymptotic Normality
Covariates
Numerical Study
Baseline
Rate of Convergence
Regression
Estimator
Evaluate

Keywords

  • Empirical process
  • Maximum pseudolikelihood estimator
  • Regression splines
  • Wheezing

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

A nonparametric regression model for panel count data analysis. / Zhao, Huadong; Zhang, Ying; Zhao, Xingqiu; Yu, Zhangsheng.

In: Statistica Sinica, Vol. 29, No. 2, 01.01.2019, p. 809-826.

Research output: Contribution to journalArticle

Zhao, Huadong ; Zhang, Ying ; Zhao, Xingqiu ; Yu, Zhangsheng. / A nonparametric regression model for panel count data analysis. In: Statistica Sinica. 2019 ; Vol. 29, No. 2. pp. 809-826.
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