RECENTERED AND RESCALED INSTRUMENTAL VARIABLE ESTIMATION OF TOBIT AND PROBIT MODELS WITH ERRORS IN VARIABLES

REFERENCES

• Amemiya , Y. 1985 . Instrumental Variable Estimator for the Nonlinear Errors-in-Variables Model . Journal of Econometrics , 28 : 273 – 289 .
   Web of Science ®Google Scholar
• Anderson , T. W. 1984 . Estimating Linear Statistical Relationship . The Annals of Statistics , 12 : 1 – 45 .
   Web of Science ®Google Scholar
• Bekker , P. A. 1986 . Comments on Identification in the Linear Errors in Variables Model . Econometrica , 54 : 215 – 217 .
   Google Scholar
• Brillinger , D. R. 1982 . “ A Generalized Linear Model with ‘Gaussian' Regressor Variables ” . In A Festschrift for Erich L. Lehmann Edited by: Bickel , P. J. , Doksum , K. A. and Hodges , J. L. 97 – 114 . Belmont, CA : Woodsworth International Group .
   Google Scholar
• Buzas , J. S. and Stefanski , L. A. 1996 . Instrumental Variable Estimation in a Probit Measurement Error Model . Journal of Statistical Planning and Inference , 55 : 47 – 62 .
   Web of Science ®Google Scholar
• Carroll , R. J. , Spiegelman , C. H. , Lan , K. K. , Bailey , K. T. and Abbot , R. D. 1982 . On Errors-in-Variables for Binary Regression Models . Biometrika , 71 : 19 – 25 .
   Google Scholar
• Carroll , R. J. and Stefanski , L. A. 1990 . Approximate Quasi-Likelihood Estimation in Models with Surrogate Predictors . Journal of the American Statistical Association , 85 : 652 – 663 .
   Web of Science ®Google Scholar
• Carroll , R. J. , Ruppert , D. and Stefanski , L. A. 1995 . Measurement Error in Nonlinear Models London : Chapman and Hall .
   Google Scholar
• Carter , R. L. and Fuller , W. A. 1980 . Instrumental Variables Estimation of the Simple Errors-in-Variables Model . Journal of the American Statistical Association , 75 : 687 – 692 .
   Web of Science ®Google Scholar
• Chung , C.-F. and Goldberger , A. S. 1984 . Proportional Projections in Limited Dependent Variable . Models. Econometrica , 52 : 531 – 534 .
   Web of Science ®Google Scholar
• Durbin , J. 1954 . Errors in Variables . International Statistical Review , 45 : 117 – 127 .
   Google Scholar
• Eicker , F. 1963 . Asymptotic Normality and Consistency of the Least Squares Estimatiors for Families of Linear Regressions . Annals of Mathematical Statistics , 34 : 447 – 456 .
   Google Scholar
• Fuller , W. A. 1987 . Measurement Error Models New York, NY : Wiley .
   Google Scholar
• Greene , W. H. 1981 . On the Asymptotic Bias of the Ordinary Least Squares Estimator of the Tobit Model . Econometrica , 49 : 505 – 513 .
   Web of Science ®Google Scholar
• Greene , W. H. 1983 . Estimation of the Limited Dependent Variable Models by the Method of Moments . Journal of Econometrics , 21 : 195 – 212 .
   Web of Science ®Google Scholar
• Hansen , L. 1982 . Large Sample Properties of Generalized Method of Moments Estimators . Econometrica , 50 : 1029 – 1054 .
   Web of Science ®Google Scholar
• Hausman , J. , Ichimura , H. , Newey , W. and Powell , J. 1991 . Identification and Estimation of Polynomial Errors-in-Variables Models . Journal of Econometrics , 50 : 273 – 295 .
   Web of Science ®Google Scholar
• Hsiao , C. 1989 . Consistent Estimation for Some Nonlinear Errors-in-Variables Models . Journal of Econometrics , 41 : 159 – 185 .
   Web of Science ®Google Scholar
• Hsiao , C. 1991 . Identification and Estimation of Dichotomous Latent Variables Models Using Panel Data . Review of Economic Studies , 58 : 717 – 731 .
   Google Scholar
• Hsiao , C. 1992 . “ Nonlinear Latent Variable Models ” . In The Econometrics of Panel Data Edited by: Matyas , L. and Sevestre , P. 242 – 261 . Kluwer Academic Publishers .
   Google Scholar
• Iwata , S. 1992a . Instrumental Variables Estimation in Errors-in-Variables Models When Instruments are Correlated with Errors . Journal of Econometrics , 53 : 297 – 322 .
   Google Scholar
• Iwata , S. 1992b . Errors-in-Variables Regression Using Estimated Latent Variables . Econometric Reviews , 11 : 195 – 200 .
   Google Scholar
• Kapteyn , A. and Wansbeek , T. 1984 . Errors in Variables: Consistent Adjusted Least Squares (CALS) Estimator . Communications in Statistics–Theory and Methods , 13 : 1811 – 1837 .
   Web of Science ®Google Scholar
• Killingsworth , M. R. 1983 . Labor Supply New York : Cambridge University Press .
   Google Scholar
• Leamer , E. E. 1978 . Least Squares Versus Instrumental Variables Estimation in a Simple Errors in Variables Model . Econometrica , 46 : 961 – 968 .
   Web of Science ®Google Scholar
• Mroz , T. A. 1987 . The Sensitivity of an Empirical Model of Married Woman's Hours of Work to Economic and Statistical Assumptions . Econometrica , 55 : 765 – 799 .
   Web of Science ®Google Scholar
• Sargan , J. D. 1958 . The Estimation of Economic Relationship Using Instrumental Variables . Econometrica , 26 : 393 – 415 .
   Web of Science ®Google Scholar
• Stapleton , D. C. and Young , D. J. 1984 . Censored Normal Regression with Measurement Error on the Dependent Variable . Econometrica , 52 : 737 – 760 .
   Web of Science ®Google Scholar
• Stefanski , L. A. and Carroll , R. J. 1985 . Covariate Measurement Error in Logistic Regression . The Annals of Statistics , 13 : 1335 – 1351 .
   Web of Science ®Google Scholar
• Stefanski , L. A. and Buzas , J. S. 1995 . Instrumental Variable Estimation in Binary Regression Measurement Error Models . Journal of the American Statistical Association , 90 : 541 – 550 .
   Web of Science ®Google Scholar
• Wolter , K. M. and Fuller , W. A. 1982 . Estimation of Nonlinear Errors-in-Variables Models . The Annals of Statistics , 10 : 539 – 548 .
   Web of Science ®Google Scholar
• White , H. 1980 . A Heteroskedasticity Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity . Econometrica , 48 : 817 – 838 .
   Web of Science ®Google Scholar