A semiparametric likelihood-based method for regression analysis of mixed panel-count data

Liang Zhu, Ying Zhang, Yimei Li, Jianguo Sun, Leslie L. Robison

Research output: Contribution to journalArticle

Abstract

Summary: Panel-count data arise when each study subject is observed only at discrete time points in a recurrent event study, and only the numbers of the event of interest between observation time points are recorded (Sun and Zhao, 2013). However, sometimes the exact number of events between some observation times is unknown and what we know is only whether the event of interest has occurred. In this article, we will refer this type of data to as mixed panel-count data and propose a likelihood-based semiparametric regression method for their analysis by using the nonhomogeneous Poisson process assumption. However, we establish the asymptotic properties of the resulting estimator by employing the empirical process theory and without using the Poisson assumption. Also, we conduct an extensive simulation study, which suggests that the proposed method works well in practice. Finally, the method is applied to a Childhood Cancer Survivor Study that motivated this study.

Original languageEnglish (US)
JournalBiometrics
DOIs
StateAccepted/In press - Jan 1 2017

Fingerprint

Count Data
Panel Data
Regression Analysis
Regression analysis
Sun
Likelihood
regression analysis
Observation
Semiparametric Regression
Non-homogeneous Poisson Process
Recurrent Events
Empirical Process
Solar System
childhood
Asymptotic Properties
Cancer
Siméon Denis Poisson
Discrete-time
methodology
Simulation Study

Keywords

  • Maximum likelihood method
  • Panel-binary data
  • Panel-count data
  • Semiparametric estimation efficiency
  • Semiparametric regression analysis

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

A semiparametric likelihood-based method for regression analysis of mixed panel-count data. / Zhu, Liang; Zhang, Ying; Li, Yimei; Sun, Jianguo; Robison, Leslie L.

In: Biometrics, 01.01.2017.

Research output: Contribution to journalArticle

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