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Linear Regression with Censoring

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  • Srinivasan, C.
  • Zhou, M.

Abstract

Koul, Susarla and Van Ryzin (1981, Ann. Statist. 9, 1276-1288) proposed a generalization of the ordinary least squares estimator in linear models with censored data. This paper uses counting processes and martingale techniques to provide a proof of the asymptotic normality of the estimator. A detailed analysis of the asymptotic variance is presented.

Suggested Citation

  • Srinivasan, C. & Zhou, M., 1994. "Linear Regression with Censoring," Journal of Multivariate Analysis, Elsevier, vol. 49(2), pages 179-201, May.
    • Handle: RePEc:eee:jmvana:v:49:y:1994:i:2:p:179-201
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    Cited by:

    1. Cédric Heuchenne & Ingrid Keilegom, 2007. "Polynomial Regression with Censored Data based on Preliminary Nonparametric Estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(2), pages 273-297, June.
    2. Vasudaven, M. & Nair, M. G. & Sithole, M. M., 1996. "On estimation for censored autoregressive data," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 97-105, December.
    3. Lu, Xuewen & Burke, M.D., 2005. "Censored multiple regression by the method of average derivatives," Journal of Multivariate Analysis, Elsevier, vol. 95(1), pages 182-205, July.
    4. Wanrong Liu & Xuewen Lu, 2009. "Weighted least squares method for censored linear models," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(7), pages 787-799.
    5. Lee, Sokbae, 2008. "Estimating Panel Data Duration Models With Censored Data," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1254-1276, October.
    6. Zhou, Mai, 1999. "Regression analysis with censored data: Extensions of Koul-Susarla-Van Ryzin approach," Statistics & Probability Letters, Elsevier, vol. 41(3), pages 229-236, February.
    7. Lu, Xuewen, 2010. "Asymptotic distributions of two "synthetic data" estimators for censored single-index models," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 999-1015, April.
    8. Bao, Yanchun & He, Shuyuan & Mei, Changlin, 2007. "The Koul-Susarla-Van Ryzin and weighted least squares estimates for censored linear regression model: A comparative study," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6488-6497, August.
    9. Wang, Qihua, 2000. "Estimation of Linear Error-in-Covariables Models with Validation Data Under Random Censorship," Journal of Multivariate Analysis, Elsevier, vol. 74(2), pages 245-266, August.
    10. C. Radhakrishna Rao & L. Zhao, 1995. "Recent contributions to censored regression models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 42(1), pages 203-213, December.
    11. Gutknecht, Daniel, 2011. "Nonclassical Measurement Error in a Nonlinear (Duration) Model," Economic Research Papers 270763, University of Warwick - Department of Economics.
    12. Lu, Xuewen & Cheng, Tsung-Lin, 2007. "Randomly censored partially linear single-index models," Journal of Multivariate Analysis, Elsevier, vol. 98(10), pages 1895-1922, November.
    13. Gensheng Qin & Bing-Yi Jing, 2003. "Edgeworth expansion in censored linear regression model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(3), pages 597-617, September.

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