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Winsorized Mean Estimator for Censored Regression

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  • Lee, Myoung-Jae

Abstract

We introduce a semiparametric estimator for the censored linear regression model. It is based on the regression version of Huber's [6] M-estimator. It includes Powell's [19] censored least absolute deviations estimator as a special case and is related to Powell's [20] symmetrically censored least-squares estimator. We prove strong consistency and derive its asymptotic distribution which is √n-consistent with an easily computable covariance matrix. A small-scale simulation study shows that it works quite well in various cases.

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  • Lee, Myoung-Jae, 1992. "Winsorized Mean Estimator for Censored Regression," Econometric Theory, Cambridge University Press, vol. 8(3), pages 368-382, September.
    • Handle: RePEc:cup:etheor:v:8:y:1992:i:03:p:368-382_01
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    Cited by:

    1. Changhui Kang & Myoung‐jae Lee, 2010. "Performance Of Various Estimators For Censored Response Models With Endogenous Regressors," Pacific Economic Review, Wiley Blackwell, vol. 15(4), pages 447-463, October.
    2. Maria Karlsson & Thomas Laitila, 2014. "Finite mixture modeling of censored regression models," Statistical Papers, Springer, vol. 55(3), pages 627-642, August.
    3. Leandro M. Magnusson, 2010. "Inference in limited dependent variable models robust to weak identification," Econometrics Journal, Royal Economic Society, vol. 13(3), pages 56-79, October.
    4. Myoung‐jae Lee & Young‐sook Kim, 2012. "Zero‐Inflated Endogenous Count In Censored Model: Effects Of Informal Family Care On Formal Health Care," Health Economics, John Wiley & Sons, Ltd., vol. 21(9), pages 1119-1133, September.
    5. Lee, M-J & Kim, Y-S, 2011. "Effects of Informal Family Care on Formal Health Care: Zero-Inflated Endogenous Count for Censored Response," Health, Econometrics and Data Group (HEDG) Working Papers 11/10, HEDG, c/o Department of Economics, University of York.
    6. Myoung-jae Lee, 2017. "Extensive and intensive margin effects in sample selection models: racial effects on wages," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(3), pages 817-839, June.
    7. Myoung-jae Lee & Maria Karlsson, 2015. "Trimmed and winsorized semiparametric estimator for left-truncated and right-censored regression models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(4), pages 485-495, May.
    8. Karlsson, Maria & Laitila, Thomas, 2008. "A semiparametric regression estimator under left truncation and right censoring," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2567-2571, November.
    9. Chen, Songnian, 2000. "Rank estimation of a location parameter in the binary choice model," Journal of Econometrics, Elsevier, vol. 98(2), pages 317-334, October.

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