Efficient estimation of additive partially linear models

International Economic Review

Volumn 41, Issue 4, 2000, Pages 1073-1092

  Li, Qi ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF GUELPH   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346299225     PISSN: 00206598     EISSN: None     Source Type: Journal    
DOI: 10.1111/1468-2354.00096     Document Type: Article

References (41)

1. AI, C., "A Semiparametric Efficiency Bound of a Disequilibrium Model Without Observed Regime," Journal of Econometrics 62 (1994), 143-63.
2. _ AND D. MCFADDEN, "Estimation of Partially Specified Nonlinear Models," Journal of Econometrics 76 (1997), 1-37.
3. ANDREWS, D. W. K., "Asymptotic Normality of Series Estimators for Nonparametric and Semiparamertic Regression Models," Econometrica 59 (1991), 307-45.
4. _ AND Y. J. WHANG, "Additive Interactive Regression Models: Circumvention of the Curse of Dimensionality," Econometric Theory 6 (1990), 466-79.
5. BEGUN, J. M., W. HALL, W. M. HUANG, AND J. A. WELLNER, "Information and Asymptotic Efficiency in Parametric-Semiparametric Models," Annals of Statistics 11 (1983), 432-52.
6. CHAMBERLAIN, G. "Asymptotic Efficiency in Semiparametric Model with Censoring," Journal of Econometrics 32 (1986), 189-218.
7. _"Efficiency Bounds for Semiparametric Regression," Econometrica 60 (1992), 567-96
8. CHEN, R., W. HARDLE, O. LINTON, AND E. SEVERANCE-LOSSIN, "Estimation and Variable Selection in Additive Nonparametric Regression Models," in W. Hardle and M. Schimek, eds., Proceedings of the COMPSTAT Conference (Heidelberg: Phyisika Varlag, 1996).
9. CHEN, X., AND X. SHEN, "Sieve Extremum Estimates for Weakly Dependent Data," Econometrica 66 (1998), 289-314.
10. COSSLETT, S. R., "Efficiency Bounds for Distribution-Free Estimators of the Binary Choice And The Censored Regression Models," Econometrica 55 (1987), 559-85.
11. COX, D. D., "Approximation of Least Squares Regression on Nested Subspaces, Annals of Statistics 16 (1988), 713-32.
12. CRAVEN, P., AND G. WHABA, "Smoothing Noisy Data with Spline Functions: Estimating the Correct Degree of Smoothing by Generalized Cross-Validation. Numerical Mathematics 31 (1979), 377-403.
13. DECHEVSKY, L., AND S. PENEZ, "On Shape-Preserving Probabilistic Wavelet Approximators," Stochastic Analysis and Applications 15:2 (1997), 187-215.
14. DONALD, S. G. AND W. K. NEWEY, "Series Estimation of Semilinear Regression," Journal of Multivariet Analysis 50 (1994), 30-40.
15. EASTWOOD, B. J., AND A. R. GALLANT, "Additive rules for Semiparametric Estimation that Achieve Asymptotic Normality," Econometric Theory 7 (1991), 307-40.
16. EUBANK, R. L. , Spline Smoothing and Nonparametric Regression (New York: Marcel-Dekker, 1988).
17. _ AND B R. JAYASURIYA, "The Asymptotic Average Squared Error for Polynomial Regression," Statistics 24 (1993), 311-9.
18. FAN, J., W. HÄRDLE, AND E. MAMMEN, "Direct Estimation of Low Dimensional Components in Additive Models," Annals of Statistics 26 (1998), 943-71.
19. FAN, Y., AND Q. LI, "On Estimating Additive Partially Linear Models," mimeo, University of Guelph, 1996.
20. GALLANT, A. R., AND G. SOUZA, "On the Asymptotic Normality of Fourier Flexible Functional Form Estimates," Journal of Econometrics 50 (1991), 329-53.
21. HANSEN, L. P., J. C. HEATON, AND M. OGAKI, "Efficiency Bounds Implied by Multiperiod Conditional Moment Restrictions," Journal of American Statistical Association 83 (1988), 863-71.
22. HOROWITZ, J., "Nonparametric Estimation of a Generalized Additive Model with an Unknown Link Function," (2000), forthcoming in Econometrica.
23. L, Cross-Validaton, and General Cross-Validation: Discrete Index," Annals of Statistics 15 (1987), 958-75.
24. LINTON, O. B., "Efficient Estimation of Additive Nonparametric Regression Models," Biometrika 84 (1997), 469-73.
25. _ AND W. HÄRDLE, "Estimating Additive Regression with Known Links," Biometrika 83 (1996), 529-40.
26. _ AND J. P. NIELSEN, "A Kernel Method of Estimating Structured Nonparametric Regression based on Marginal Integration," Biometrika 82 (1995), 91-100.
27. LORENTZ, G. G., Approximation of Functions (New York: Chelsea, 1966).
28. NIELSEN, J. P., AND O. B. LINTON, "An Optimization Interpretation of Integration and Back-Fitting Estimators for separable nonparametric models," Journal of Royal Statistical Society B 60 (1998) 217-22.
29. NEWEY, W. K., "Adaptative Estimation of Regression Models via Moment Restriction," Journal of Econometrics 38 (1988), 301-39.
30. _, "Semiparametric Efficiency Bounds," Journal of Applied Econometrics 5 (1990), 99-135.
31. _, "The Asymptotic Variance of Semiparametric Estimators," Econometrica 62 (1994a), 1349-82.
32. _, "Series Estimation of Regression Functionals," Econometric Theory 10 (1994b), 1-28.
33. _, "Kernel Estimation of Partial Means in a General Variance Estimator," Econometric Theory 10 (1994c), 233-53.
34. _, "Convergence Rates for Series Estimators," in G. S. Maddala, P. C. B. Phillips, and T. N. Srinavsan, eds., Statistical Methods of Economics and Quantitative Economics: Essays in Honor of C. R. Rao (Cambridge, MA: Blackwell, 1995).
35. _, "Convergence Rates and Asymptotic Normality for Series Estimators," Journal of Econometrics 79 (1997), 147-68.
36. ROBINSON, P., "Root-N Consistent Semiparametric Regression," Econometrica 56 (1988), 931-54.
37. SCHUMAKER, L. L., Spline Functions: Basic Theory (New York: Wiley, 1981).
38. STOCK, J. H., "Nonparametric Policy Analysis," Journal of American Statistical Association, 84 (1989), 567-75.
39. STONE, C. J., "Additive Regression and Other Nonparametric Models," The Annals of Statistics 13 (1985), 685-705.
40. _, "The Dimensionality Reduction Principle for Generalized Additive Models," The Annals of Statistics 14 (1986), 592-606.
41. TOJSTHEIM, D., AND B. H. AUESTAD, "Nonparametric Identification of Nonlinear Time Series: Projections," Journal of American Statistical Association 89 (1994), 1398-1409.