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Censored Quantile Regression Redux

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  • Koenker, Roger

Abstract

Quantile regression for censored survival (duration) data offers a more flexible alternative to the Cox proportional hazard model for some applications. We describe three estimation methods for such applications that have been recently incorporated into the R package quantreg: the Powell (1986) estimator for fixed censoring, and two methods for random censoring, one introduced by Portnoy (2003), and the other by Peng and Huang (2008). The Portnoy and Peng-Huang estimators can be viewed, respectively, as generalizations to regression of the Kaplan-Meier and Nelson-Aalen estimators of univariate quantiles for censored observations. Some asymptotic and simulation comparisons are made to highlight advantages and disadvantages of the three methods.

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  • Koenker, Roger, 2008. "Censored Quantile Regression Redux," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i06).
    • Handle: RePEc:jss:jstsof:v:027:i06
    DOI: http://hdl.handle.net/10.18637/jss.v027.i06
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    Cited by:

    1. Chen, Songnian, 2018. "Sequential estimation of censored quantile regression models," Journal of Econometrics, Elsevier, vol. 207(1), pages 30-52.
    2. Polpo, A. & de Campos, C.P. & Sinha, D. & Lipsitz, S. & Lin, J., 2014. "Transform both sides model: A parametric approach," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 903-913.
    3. Xianghua Luo & Chiung-Yu Huang & Lan Wang, 2013. "Quantile Regression for Recurrent Gap Time Data," Biometrics, The International Biometric Society, vol. 69(2), pages 375-385, June.
    4. Seoyun Hong, 2023. "Censored Quantile Regression with Many Controls," Papers 2303.02784, arXiv.org.
    5. Brian J. Reich & Luke B. Smith, 2013. "Bayesian Quantile Regression for Censored Data," Biometrics, The International Biometric Society, vol. 69(3), pages 651-660, September.
    6. Schmillen, Achim & Möller, Joachim, 2012. "Distribution and determinants of lifetime unemployment," Labour Economics, Elsevier, vol. 19(1), pages 33-47.
    7. Wocken, Meike & Kneib, Thomas, 2012. "Tobit regression to estimate impact of EU market intervention in dairy sector," 123rd Seminar, February 23-24, 2012, Dublin, Ireland 122528, European Association of Agricultural Economists.
    8. Luke Lin & Chun I. Lee, 2016. "Central Bank Intervention, Exchange Rate Regime and the Purchasing Power Parity," The World Economy, Wiley Blackwell, vol. 39(8), pages 1256-1274, August.
    9. Akram Yazdani & Hojjat Zeraati & Mehdi Yaseri & Shahpar Haghighat & Ahmad Kaviani, 2022. "Laplace regression with clustered censored data," Computational Statistics, Springer, vol. 37(3), pages 1041-1068, July.
    10. Bilias, Yannis & Florios, Kostas & Skouras, Spyros, 2019. "Exact computation of Censored Least Absolute Deviations estimator," Journal of Econometrics, Elsevier, vol. 212(2), pages 584-606.
    11. Lan, Yueqin & Krishnan, Deepika & Zheng, Jiyuan, 2023. "Impact of international trade on crude oil in political unstable economies: Evidence from quantile regression," Resources Policy, Elsevier, vol. 83(C).
    12. Jianchang Lin & Debajyoti Sinha & Stuart Lipsitz & Adriano Polpo, 2012. "Semiparametric Bayesian Survival Analysis using Models with Log-linear Median," Biometrics, The International Biometric Society, vol. 68(4), pages 1136-1145, December.
    13. Peng, Limin, 2012. "Self-consistent estimation of censored quantile regression," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 368-379.
    14. repec:jss:jstsof:27:i01 is not listed on IDEAS
    15. Marcelo Cajias & Philipp Freudenreich & Anna Heller & Wolfgang Schaefers, 2018. "Censored Quantile Regressions and the Determinants of Real Estate Liquidity," ERES eres2018_203, European Real Estate Society (ERES).
    16. Machado, José A.F. & Santos Silva, J.M.C. & Wei, Kehai, 2016. "Quantiles, corners, and the extensive margin of trade," European Economic Review, Elsevier, vol. 89(C), pages 73-84.
    17. Yanlin Tang & Huixia Wang & Xuming He & Zhongyi Zhu, 2012. "An informative subset-based estimator for censored quantile regression," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(4), pages 635-655, December.
    18. Haiming Zhou & Timothy Hanson & Jiajia Zhang, 2017. "Generalized accelerated failure time spatial frailty model for arbitrarily censored data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(3), pages 495-515, July.
    19. Manish Shirgaokar, 2016. "Expanding cities and vehicle use in India: Differing impacts of built environment factors on scooter and car use in Mumbai," Urban Studies, Urban Studies Journal Limited, vol. 53(15), pages 3296-3316, November.
    20. Alexander Hanbo Li & Jelena Bradic, 2019. "Censored Quantile Regression Forests," Papers 1902.03327, arXiv.org.
    21. Rafael Gralla & Kornelius Kraft & Stanislav Volgushev, 2017. "The effects of works councils on overtime hours," Scottish Journal of Political Economy, Scottish Economic Society, vol. 64(2), pages 143-168, May.

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