Instrumental variable treatment of nonclassical measurement error models

Econometrica

Volumn 76, Issue 1, 2008, Pages 195-216

  Hu, Yingyao ^a   Schennach, Susanne M ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

Instrumental variable; Nonclassical measurement error; Nonlinear errors in variables model; Operator; Semiparametric estimator; Sieve maximum likelihood

Indexed keywords

EID: 37349115935     PISSN: 00129682     EISSN: 14680262     Source Type: Journal    
DOI: 10.1111/j.0012-9682.2008.00823.x     Document Type: Article

References (46)

1. Ai, C., and X. Chen (2003 Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions Econometrica, 71, 1795 1843.
2. Altonji, J. G., and R. L. Matzkin (2005 Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors Econometrica, 73, 1053 1102.
3. Blundell, R., X. Chen, and D. Kristensen (2007 Semi-Nonparametric IV Estimation of Shape-Invariant Engel Curves Econometrica, 75, 1613 1669.
4. Bollinger, C. R. (1998 Measurement Error in the Current Population Survey: A Nonparametric Look Journal of Labor Economics, 16, 576 594.
5. Bound, J., and A. B. Krueger (1991 The Extent of Measurement Error in Longitudinal Earnings Data: Do Two Wrongs Make a Right Journal of Labor Economics, 9, 1 24.
6. Bound, J., C. Brown, and N. Mathiowetz (2001 Measurement Error in Survey Data in Handbook of Econometrics, Vol. 5, ed. by J. J. Heckman and E. Leamer. Amsterdam : Elsevier Science, 3705 3843.
7. Carrasco, M., and J.-P. Florens (2005 Spectral Method for Deconvolving a Density Working Paper, University of Rochester.
8. Carrasco, M., J.-P. Florens, and E. Renault (2005 Linear Inverse Problems and Structural Econometrics: Estimation Based on Spectral Decomposition and Regularization in Handbook of Econometrics, Vol. 6. Amsterdam : Elsevier Science, forthcoming.
9. Chalak, K., and H. White (2006 An Extended Class of Instrumental Variables for the Estimation of Causal Effects Working Paper, UCSD.
10. Chen, X., H. Hong, and E. Tamer (2005 Measurement Error Models with Auxiliary Data Review of Economic Studies, 72, 343 366.
11. Chen, X., H. Hong, and A. Tarozzi (2008 Semiparametric Efficiency in GMM Models with Nonclassical Measurement Error The Annals of Statistics, forthcoming.
12. Chen, X., and X. Shen (1998 Sieve Extremum Estimates for Weakly Dependent Data Econometrica, 66, 289 314.
13. Chernozhukov, V., and C. Hansen (2005 An IV Model of Quantile Treatment Effects Econometrica, 73, 245 261.
14. Chernozhukov, V., G. W. Imbens, and W. K. Newey (2007 Instrumental Variable Estimation of Nonseparable Models Journal of Econometrics, 139, 4 14.
15. Chesher, A. (1991 The Effect of Measurement Error Biometrika, 78, 451.
16. Chesher, A. (1998 Polynomial Regression with Normal Covariate Measurement Error Discussion Paper 98/448, University of Bristol.
17. Chesher, A. (2001 Parameter Approximations for Quantile Regressions with Measurement Error Working Paper CWP02/01, Department of Economics, University College London.
18. Chesher, A. (2003 Identification in Nonseparable Models Econometrica, 71, 1405 1441.
19. Chesher, A., M. Dumangane, and R. J. Smith (2002 Duration Response Measurement Error Journal of Econometrics, 111, 169 194.
20. Darolles, S., J.-P. Florens, and E. Renault (2002 Nonparametric Instrumental Regression Working Paper 05-2002, Centre de Recherche et Développement en Économique.
21. d'Haultfoeuille, X. (2006 On the Completeness Condition in Nonparametric Instrumental Problems Working Paper, ENSAE, CREST-INSEE, and Université de Paris I.
22. Dunford, N., and J. T. Schwartz (1971 Linear Operators. New York : Wiley.
23. Grenander, U. (1981 Abstract Inference. New York : Wiley.
24. Hall, P., and J. L. Horowitz (2005 Nonparametric Methods for Inference in the Presence of Instrumental Variables The Annals of Statistics, 33, 2904 2929.
25. Hausman, J. (2001 Mismeasured Variables in Econometric Analysis: Problems from the Right and Problems from the Left Journal of Economic Perspectives, 15, 57 67.
26. Hausman, J., W. Newey, H. Ichimura, and J. Powell (1991 Measurement Errors in Polynomial Regression Models Journal of Econometrics, 50, 273 295.
27. Heckman, J. J., and E. Vytlacil (2005 Structural Equations, Treatment Effects, and Econometric Policy Evaluation Econometrica, 73, 669 738.
28. Hoderlein, S., and E. Mammen (2007 Identification of Marginal Effects in Nonseparable Models Without Monotonicity Econometrica, 75, 1513 1518.
29. Hong, H., and E. Tamer (2003 A Simple Estimator for Nonlinear Error in Variable Models Journal of Econometrics, 117, 1 19.
30. Horowitz, J. L. (2006 Testing a Parametric Model Against a Nonparametric Alternative with Identification Through Instrumental Variables Econometrica, 74, 521 538.
31. Hu, Y. (2007 Identification and Estimation of Nonlinear Models with Misclassification Error Using Instrumental Variables: A General Solution Working Paper, Johns Hopkins University.
32. Hu, Y., and G. Ridder (2004 Estimation of Nonlinear Models with Measurement Error Using Marginal Information Working Paper, Department of Economics, University of Southern California.
33. Hu, Y., and S. M. Schennach (2008 Supplement to 'Instrumental Variable Treatment of Nonclassical Measurement Error Models' Econometrica Supplementary Material, 76, http://www.econometricsociety.org/ecta/Supmat/6545_proofs.pdf.
34. Lewbel, A. (1996 Demand Estimation with Expenditure Measurement Errors on the Left and Right Hand Side The Review of Economics and Statistics, 78, 718 725.
35. Lewbel, A. (1998 Semiparametric Latent Variable Model Estimation with Endogenous or Mismeasured Regressors Econometrica, 66, 105 121.
36. Lewbel, A. (2007 Estimation of Average Treatment Effects with Misclassification Econometrica, 75, 537 551.
37. Li, T. (2002 Robust and Consistent Estimation of Nonlinear Errors-in-Variables Models Journal of Econometrics, 110, 1 26.
38. Mahajan, A. (2006 Identification and Estimation of Single Index Models with Misclassified Regressor Econometrica, 74, 631 665.
39. Mattner, L. (1993 Some Incomplete but Boundedly Complete Location Families The Annals of Statistics, 21, 2158 2162.
40. Matzkin, R. L. (2003 Nonparametric Estimation of Nonparametric Nonadditive Random Functions Econometrica, 71, 1339 1375.
41. Newey, W. (2001 Flexible Simulated Moment Estimation of Nonlinear Errors-in-Variables Models Review of Economics and Statistics, 83, 616 627.
42. Newey, W. K., and J. L. Powell (2003 Instrumental Variable Estimation of Nonparametric Models Econometrica, 71, 1565 1578.
43. Schennach, S. M. (2004 a Estimation of Nonlinear Models with Measurement Error Econometrica, 72, 33 75.
44. Schennach, S. M. (2004 b Nonparametric Estimation in the Presence of Measurement Error Econometric Theory, 20, 1046 1093.
45. Schennach, S. M. (2007 Instrumental Variable Estimation of Nonlinear Errors-in-Variables Models Econometrica, 75, 201 239.
46. Shen, X. (1997 On Methods of Sieves and Penalization The Annals of Statistics, 25, 2555 2591.