Abstract
A brief survey of estimation of parameters in a censored regression model (known as the Tobit model) and some details of the properties of LAD (least absolute deviation) estimates and tests of significance of linear hypotheses are given.
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References
Buckley J, James I (1979) Linear regression with censored data. Biometrika 66:429–436
Duncan GM (1986) A semiparametric censored regression estimator. J. of Econometrics 32, 5–34
Fernandez L (1986) Nonparametric maximum likelihood estimation of censored regression models. J. of Econometrics 32, 35–57
Fygenson M, Zhou Mai (1992). Modification of the Koul-Susarla-Van Ryzin estimator for linear regression models with right censoring. Statist. Probab. Lett. 13, 295–299
Fygenson M, Zhou Mai (1994) On using stratification in the analysis of linear regression models with right censoring. Ann. Statist. (to appear).
Heckman, JJ (1976) The common structure of statistical models of truncation, sample selection and limited dependent variables and a simple estimator for such models. Annals of Economic and Social Measurement 4, 475–492
Horowitz JL (1986) A distribution-free least squares estimator for censored regression moels. J. of Econometrics 32, 59–84
Horowitz JL (1988) The asymptotic efficiency of semiparametric estimators for censored linear regression moels. Empec 13, 123–140.
Kaplan E, Meier P (1958) Nonparametric estimation from incomplete observations. J. Am. Statist. Ass. 53, 457–481
Koul H, Susarla V, Van Ryzin J (1981) Regression analysis with randomly right censored data. Ann. Statist. 9, 1276–1288
Maddala GS (1983) Limited Dependent and Qualitative Variables in Econometrics. Cambridge University Press, Cambridge
Manski C (1975) Maximum score estimation of a stochastic utility model of choice. J. Econometrics 3, 205–228
Moon C-G (1989) A Monte Carlo comparison of semiparametric Tobit estimators. Journal of Applied Econometrics 4, 361–382
Paarsch HJ (1984) A monteacrlo comparison of estimators for censored regression models. J. Econometrics 24, 197–213
Pinkse, CAP (1993) On the computation of semiparametric estimates in limited dependent variables. J. Econometrics 58, 185–205
Pollard D (1990) Empirical Processes: Theory and Applications. NSF-CBMS Regional Conference Series in Probability and Statistics, Volume 2
Powell JL (1984) Least absolute deviations estimation for the censored regression model. J. Econometrics 25, 303–325
Rao CR, Zhao LC (1993) Asymptotic normality of LAD estimator in censored regression models. Mathematical Methods of Statistics 2, 228–239
Ruud, PA (1986) Consistent estimation of limited dependent models despite misspecifications of distribution. J. of Econometrics 32, 157–187
Srinivasan S, Zhou Mai (1994) Linear regression with censoring. J. Multivariate Analysis 49, 179–201
Van Ryzin J (1986) Improved Buckley-James algorithms for linear regression with censored survival data. In Proceedings of the Pacific Statistical Congress, 1985, Eds. I.S. Francis et al, 444–450
Zhao LC (1993). Least absolute deviations analysis variance in censored regression models. Tech. Rept. 93-11, Center for Multivariate Analysis, Penn State University
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Radhakrishna Rao, C., Zhao, L.C. Recent contributions to censored regression models. Metrika 42, 203–213 (1995). https://doi.org/10.1007/BF01894300
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DOI: https://doi.org/10.1007/BF01894300