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Recentered And Rescaled Instrumental Variable Estimation Of Tobit And Probit Models With Errors In Variables

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  • Shigeru Iwata
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    Abstract

    Since Durbin (1954) and Sargan (1958), instrumental variable (IV) method has long been one of the most popular procedures among economists and other social scientists to handle linear models with errors-in-variables. A direct application of this method to nonlinear errors-in-variables models, however, fails to yield consistent estimators. This article restricts attention to Tobit and Probit models and shows that simple recentering and rescaling of the observed dependent variable may restore consistency of the standard IV estimator if the true dependent variable and the IV's are jointly normally distributed. Although the required condition seems rarely to be satisfied by real data, our Monte Carlo experiment suggests that the proposed estimator may be quite robust to the possible deviation from normality.

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    File URL: http://www.tandfonline.com/doi/abs/10.1081/ETC-100104937
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

    Volume (Year): 20 (2001)
    Issue (Month): 3 ()
    Pages: 319-335

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    Handle: RePEc:taf:emetrv:v:20:y:2001:i:3:p:319-335

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    Related research

    Keywords: Instrumental variables; GMM estimator; Nonlinear errors in variables; Elliptically symmetric distribution;

    References

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    1. Hsiao, Cheng, 1989. "Consistent estimation for some nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 41(1), pages 159-185, May.
    2. Thomas Mroz, . "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," University of Chicago - Population Research Center 84-8, Chicago - Population Research Center.
    3. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
    4. Hsiao, Cheng, 1991. "Identification and Estimation of Dichotomous Latent Variables Models Using Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 58(4), pages 717-31, July.
    5. Wansbeek, T.J. & Kapteyn, A.J., 1984. "Errors in variables. Consistent adjusted least squares (CALS) estimation," Open Access publications from Tilburg University urn:nbn:nl:ui:12-364321, Tilburg University.
    6. Iwata, Shigeru, 1992. "Instrumental variables estimation in errors-in-variables models when instruments are correlated with errors," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 297-322.
    7. Amemiya, Yasuo, 1985. "Instrumental variable estimator for the nonlinear errors-in-variables model," Journal of Econometrics, Elsevier, vol. 28(3), pages 273-289, June.
    8. Greene, William H., 1983. "Estimation of limited dependent variable models by ordinary least squares and the method of moments," Journal of Econometrics, Elsevier, vol. 21(2), pages 195-212, February.
    9. Hausman, Jerry A. & Newey, Whitney K. & Ichimura, Hidehiko & Powell, James L., 1991. "Identification and estimation of polynomial errors-in-variables models," Journal of Econometrics, Elsevier, vol. 50(3), pages 273-295, December.
    10. Leamer, Edward E, 1978. "Least-Squares versus Instrumental Variables Estimation in a Simple Errors in Variables Model," Econometrica, Econometric Society, vol. 46(4), pages 961-68, July.
    11. Chung, Ching-Fan & Goldberger, Arthur S, 1984. "Proportional Projections in Limited Dependent Variable Models," Econometrica, Econometric Society, vol. 52(2), pages 531-34, March.
    12. Greene, William H, 1981. "On the Asymptotic Bias of the Ordinary Least Squares Estimator of the Tobit Model," Econometrica, Econometric Society, vol. 49(2), pages 505-13, March.
    13. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
    14. Hsiao, C., 1992. "Nonlinear Latent Variable Models," Papers 9211, Southern California - Department of Economics.
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    Cited by:
    1. Joop Hartog & Luis Diaz-Serrano, 2004. "Earnings Risk And Demand For Higher Education: A Cross-Section Test For Spain," Economics, Finance and Accounting Department Working Paper Series n1370804, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.

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