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Multistate analysis of multitype recurrent event and failure time data with event feedbacks in biomarkers

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  • Chuoxin Ma
  • Jianxin Pan

Abstract

In this paper we propose a class of multistate models for the analysis of multitype recurrent event and failure time data when there are past event feedbacks in longitudinal biomarkers. It can well incorporate various effects, including time‐dependent and time‐independent effects, of different event paths or the number of occurrences of events of different types. Asymptotic unbiased estimating equations based on polynomial splines approximation are developed. The consistency and asymptotic normality of the proposed estimators are provided. Simulation studies show that the naive estimators which either ignore the past event feedback or the measurement errors are biased. Our method has a better coverage probability of the time‐varying/constant coefficients, compared to the naive methods. An application to the dataset from the Atherosclerosis Risk in Communities Study, which is also the motivating example to develop the method, is presented.

Suggested Citation

  • Chuoxin Ma & Jianxin Pan, 2022. "Multistate analysis of multitype recurrent event and failure time data with event feedbacks in biomarkers," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(2), pages 864-885, June.
  • Handle: RePEc:bla:scjsta:v:49:y:2022:i:2:p:864-885
    DOI: 10.1111/sjos.12545
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    References listed on IDEAS

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    1. Hongsheng Dai & Jianxin Pan, 2018. "Joint Modelling of Survival and Longitudinal Data with Informative Observation Times," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 45(3), pages 571-589, September.
    2. 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.
    3. Richard J. Cook & Grace Y. Yi & Ker-Ai Lee & Dafna D. Gladman, 2004. "A Conditional Markov Model for Clustered Progressive Multistate Processes under Incomplete Observation," Biometrics, The International Biometric Society, vol. 60(2), pages 436-443, June.
    4. Cummins D. J & Filloon T. G. & Nychka D., 2001. "Confidence Intervals for Nonparametric Curve Estimates: Toward More Uniform Pointwise Coverage," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 233-246, March.
    5. Yih‐Huei Huang & Wen‐Han Hwang & Fei‐Yin Chen, 2016. "Improving efficiency using the Rao–Blackwell theorem in corrected and conditional score estimation methods for joint models," Biometrics, The International Biometric Society, vol. 72(4), pages 1136-1144, December.
    6. F. S. Nathoo & C. B. Dean, 2008. "Spatial Multistate Transitional Models for Longitudinal Event Data," Biometrics, The International Biometric Society, vol. 64(1), pages 271-279, March.
    7. Odd O. Aalen & Johan Fosen & Harald Weedon-Fekjær & Ørnulf Borgan & Einar Husebye, 2004. "Dynamic Analysis of Multivariate Failure Time Data," Biometrics, The International Biometric Society, vol. 60(3), pages 764-773, September.
    8. Hsiang Yu & Yu‐Jen Cheng & Ching‐Yun Wang, 2018. "Methods for multivariate recurrent event data with measurement error and informative censoring," Biometrics, The International Biometric Society, vol. 74(3), pages 966-976, September.
    9. Sean Yiu & Vernon T. Farewell & Brian D. M. Tom, 2018. "Clustered multistate models with observation level random effects, mover–stayer effects and dynamic covariates: modelling transition intensities and sojourn times in a study of psoriatic arthritis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 67(2), pages 481-500, February.
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