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Marginal regression analysis of recurrent events with coarsened censoring times

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  • X. Joan Hu
  • Rhonda J. Rosychuk

Abstract

Motivated by an ongoing pediatric mental health care (PMHC) study, this article presents weakly structured methods for analyzing doubly censored recurrent event data where only coarsened information on censoring is available. The study extracted administrative records of emergency department visits from provincial health administrative databases. The available information of each individual subject is limited to a subject‐specific time window determined up to concealed data. To evaluate time‐dependent effect of exposures, we adapt the local linear estimation with right censored survival times under the Cox regression model with time‐varying coefficients (cf. Cai and Sun, Scandinavian Journal of Statistics 2003, 30, 93–111). We establish the pointwise consistency and asymptotic normality of the regression parameter estimator, and examine its performance by simulation. The PMHC study illustrates the proposed approach throughout the article.

Suggested Citation

  • X. Joan Hu & Rhonda J. Rosychuk, 2016. "Marginal regression analysis of recurrent events with coarsened censoring times," Biometrics, The International Biometric Society, vol. 72(4), pages 1113-1122, December.
    • Handle: RePEc:bla:biomet:v:72:y:2016:i:4:p:1113-1122
    DOI: 10.1111/biom.12503
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    References listed on IDEAS

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    1. Lu Tian & David Zucker & L.J. Wei, 2005. "On the Cox Model With Time-Varying Regression Coefficients," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 172-183, March.
    2. T. Cai, 2004. "Semiparametric regression analysis for doubly censored data," Biometrika, Biometrika Trust, vol. 91(2), pages 277-290, June.
    3. Bin Nan & Xihong Lin & Lynda D. Lisabeth & Siobán D. Harlow, 2005. "A Varying-Coefficient Cox Model for the Effect of Age at a Marker Event on Age at Menopause," Biometrics, The International Biometric Society, vol. 61(2), pages 576-583, June.
    4. 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.
    5. Kani Chen & Huazhen Lin & Yong Zhou, 2012. "Efficient estimation for the Cox model with varying coefficients," Biometrika, Biometrika Trust, vol. 99(2), pages 379-392.
    6. Murphy, S. A. & Sen, P. K., 1991. "Time-dependent coefficients in a Cox-type regression model," Stochastic Processes and their Applications, Elsevier, vol. 39(1), pages 153-180, October.
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