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Transformed Dynamic Quantile Regression on Censored Data

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  • Chi Wing Chu
  • Tony Sit
  • Gongjun Xu

Abstract

We propose a class of power-transformed linear quantile regression models for time-to-event observations subject to censoring. By introducing a process of power transformation with different transformation parameters at individual quantile levels, our framework relaxes the assumption of logarithmic transformation on survival times and provides dynamic estimation of various quantile levels. With such formulation, our proposal no longer requires the potentially restrictive global linearity assumption imposed on a class of existing inference procedures for censored quantile regression. Uniform consistency and weak convergence of the proposed estimator as a process of quantile levels are established via the martingale-based argument. Numerical studies are presented to illustrate the outperformance of the proposed estimator over existing contenders under various settings.

Suggested Citation

  • Chi Wing Chu & Tony Sit & Gongjun Xu, 2021. "Transformed Dynamic Quantile Regression on Censored Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 116(534), pages 874-886, April.
  • Handle: RePEc:taf:jnlasa:v:116:y:2021:i:534:p:874-886
    DOI: 10.1080/01621459.2019.1695623
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    Cited by:

    1. Zexi Cai & Tony Sit, 2023. "On interquantile smoothness of censored quantile regression with induced smoothing," Biometrics, The International Biometric Society, vol. 79(4), pages 3549-3563, December.
    2. Li, Dan & Li, Yijun & Wang, Chaoqun & Chen, Min & Wu, Qi, 2023. "Forecasting carbon prices based on real-time decomposition and causal temporal convolutional networks," Applied Energy, Elsevier, vol. 331(C).

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