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A note on estimating censored quantile regressions

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  • Fitzenberger, Bernd

Abstract

This note is concerned with estimating censored quantile regressions (CQR). As its major contribution, a' new algorithm, called BRCENS, is developed as an adaption of the Barrodale-Roberts algorithm for the standard quantile regression problem. In a subsequent simulation study, BRCENS performs well in comparison with the iterative linear programming algorithm (ILPA) suggested recently by Buchinsky. In the theoretical analysis, this note generalizes the asymptotic theory for estimating CQR to the case with observation specific censoring points and with fairly arbitrary non-stationarity and dependency in the data. Building on the interpolation property of the coefficient estimate, the ILPA is shown to suffer from some theoretical inconsistencies.

Suggested Citation

  • Fitzenberger, Bernd, 1994. "A note on estimating censored quantile regressions," Discussion Papers 14, University of Konstanz, Center for International Labor Economics (CILE).
    • Handle: RePEc:zbw:koncil:14
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    References listed on IDEAS

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    1. Powell, James L., 1984. "Least absolute deviations estimation for the censored regression model," Journal of Econometrics, Elsevier, vol. 25(3), pages 303-325, July.
    2. Buchinsky, Moshe, 1994. "Changes in the U.S. Wage Structure 1963-1987: Application of Quantile Regression," Econometrica, Econometric Society, vol. 62(2), pages 405-458, March.
    3. Powell, James L., 1986. "Censored regression quantiles," Journal of Econometrics, Elsevier, vol. 32(1), pages 143-155, June.
    4. Portnoy, Stephen, 1991. "Asymptotic behavior of regression quantiles in non-stationary, dependent cases," Journal of Multivariate Analysis, Elsevier, vol. 38(1), pages 100-113, July.
    5. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    6. Weiss, Andrew A., 1991. "Estimating Nonlinear Dynamic Models Using Least Absolute Error Estimation," Econometric Theory, Cambridge University Press, vol. 7(1), pages 46-68, March.
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    Cited by:

    1. Fitzenberger, Bernd & Hujer, Reinhard & MaCurdy, Thomas E. & Schnabel, Reinhold, 1995. "The dynamic structure of wages in Germany 1976 - 1984: A cohort analysis," Discussion Papers 22, University of Konstanz, Center for International Labor Economics (CILE).
    2. Fitzenberger, Bernd & Franz, Wolfgang, 1997. "Flexibilität der qualifikatorischen Lohnstruktur und Lastverteilung der Arbeitslosigkeit: Eine ökonometrische Analyse für Westdeutschland," ZEW Discussion Papers 97-32, ZEW - Leibniz Centre for European Economic Research.
    3. Stefan Hochguertel, 2003. "Precautionary motives and portfolio decisions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 61-77.
    4. Hochgürtel, S., 1997. "Precautionary Motives and Portfolio Decisions," Discussion Paper 1997-55, Tilburg University, Center for Economic Research.
    5. Victor Champonnois & Olivier Chanel, 2016. "How useful are (Censored) Quantile Regressions for Contingent Valuation?," Working Papers 2016.12, FAERE - French Association of Environmental and Resource Economists.
    6. Daniel Ordoñez‐Callamand & Mauricio Villamizar‐Villegas & Luis F. Melo‐Velandia, 2018. "Foreign exchange intervention revisited: A new way of estimating censored models," International Finance, Wiley Blackwell, vol. 21(2), pages 195-213, June.
    7. Hochgürtel, S., 1997. "Precautionary Motives and Portfolio Decisions," Other publications TiSEM a6aa05be-cbd8-4f92-ac8e-8, Tilburg University, School of Economics and Management.
    8. Zhou, Xiuqing & Wang, Jinde, 2005. "A genetic method of LAD estimation for models with censored data," Computational Statistics & Data Analysis, Elsevier, vol. 48(3), pages 451-466, March.
    9. 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.
    10. Jacobebbinghaus, Peter & Zwick, Thomas, 2001. "New technologies and the demand for medium qualified labour in Germany," ZEW Discussion Papers 01-12, ZEW - Leibniz Centre for European Economic Research.

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