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A flexible time-varying coefficient rate model for panel count data

Author

Listed:
  • Dayu Sun

    (Indiana University School of Medicine and Richard M. Fairbanks School of Public Health)

  • Yuanyuan Guo

    (Eli Lilly and Company)

  • Yang Li

    (Indiana University School of Medicine and Richard M. Fairbanks School of Public Health)

  • Jianguo Sun

    (University of Missouri)

  • Wanzhu Tu

    (Indiana University School of Medicine and Richard M. Fairbanks School of Public Health)

Abstract

Panel count regression is often required in recurrent event studies, where the interest is to model the event rate. Existing rate models are unable to handle time-varying covariate effects due to theoretical and computational difficulties. Mean models provide a viable alternative but are subject to the constraints of the monotonicity assumption, which tends to be violated when covariates fluctuate over time. In this paper, we present a new semiparametric rate model for panel count data along with related theoretical results. For model fitting, we present an efficient EM algorithm with three different methods for variance estimation. The algorithm allows us to sidestep the challenges of numerical integration and difficulties with the iterative convex minorant algorithm. We showed that the estimators are consistent and asymptotically normally distributed. Simulation studies confirmed an excellent finite sample performance. To illustrate, we analyzed data from a real clinical study of behavioral risk factors for sexually transmitted infections.

Suggested Citation

  • Dayu Sun & Yuanyuan Guo & Yang Li & Jianguo Sun & Wanzhu Tu, 2024. "A flexible time-varying coefficient rate model for panel count data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 30(4), pages 721-741, October.
    • Handle: RePEc:spr:lifeda:v:30:y:2024:i:4:d:10.1007_s10985-024-09630-1
    DOI: 10.1007/s10985-024-09630-1
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    References listed on IDEAS

    as
    1. X. Joan Hu & Jianguo Sun & Lee‐Jen Wei, 2003. "Regression Parameter Estimation from Panel Counts," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(1), pages 25-43, March.
    2. D. Y. Lin & L. J. Wei & I. Yang & Z. Ying, 2000. "Semiparametric regression for the mean and rate functions of recurrent events," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(4), pages 711-730.
    3. Huadong Zhao & Wanzhu Tu & Zhangsheng Yu, 2018. "A nonparametric time-varying coefficient model for panel count data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 30(3), pages 640-661, July.
    4. J. Sun & L. J. Wei, 2000. "Regression analysis of panel count data with covariate‐dependent observation and censoring times," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 293-302.
    5. Donglin Zeng & Fei Gao & D. Y. Lin, 2017. "Maximum likelihood estimation for semiparametric regression models with multivariate interval-censored data," Biometrika, Biometrika Trust, vol. 104(3), pages 505-525.
    6. Guo, Yuanyuan & Sun, Dayu & Sun, Jianguo, 2022. "Inference of a time-varying coefficient regression model for multivariate panel count data," Journal of Multivariate Analysis, Elsevier, vol. 192(C).
    7. Jun Yan & Jian Huang, 2012. "Model Selection for Cox Models with Time-Varying Coefficients," Biometrics, The International Biometric Society, vol. 68(2), pages 419-428, June.
    8. Xin He & Xuenan Feng & Xingwei Tong & Xingqiu Zhao, 2017. "Semiparametric partially linear varying coefficient models with panel count data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(3), pages 439-466, July.
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