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An empirical likelihood method for quantile regression models with censored data

Author

Listed:
  • Qibing Gao

    (Nanjing Normal University)

  • Xiuqing Zhou

    (Nanjing Normal University)

  • Yanqin Feng

    (Wuhan University)

  • Xiuli Du

    (Nanjing Normal University)

  • XiaoXiao Liu

    (Nanjing Normal University)

Abstract

An estimation for censored quantile regression models, which is based on an inverse-censoring-probability weighting method, is studied in this paper, and asymptotic distribution of the parameter vector estimator is obtained. Based on the parameter estimation and asymptotic distribution of the estimator, an empirical likelihood inference method is proposed for censored quantile regression models and asymptotic property of empirical likelihood ratio is proved. Since the limiting distribution of the empirical likelihood ratio statistic is a mixture of chi-squared distributions, adjustment methods are also proposed to make the statistic converge to standard chi-squared distribution. The weighting scheme used in the parameter estimation is simple and the loss function is continuous and convex, and therefore, compared with empirical likelihood methods for quantile regression models with completely observed data, the methods proposed in this paper will not increase the computational complexity. This makes it especially useful for data with medium or high dimensional covariates. Simulation studies are developed to illustrate the performance of proposed methods.

Suggested Citation

  • Qibing Gao & Xiuqing Zhou & Yanqin Feng & Xiuli Du & XiaoXiao Liu, 2021. "An empirical likelihood method for quantile regression models with censored data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(1), pages 75-96, January.
    • Handle: RePEc:spr:metrik:v:84:y:2021:i:1:d:10.1007_s00184-020-00775-1
    DOI: 10.1007/s00184-020-00775-1
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    References listed on IDEAS

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