Smooth varying-coefficient estimation and inference for qualitative and quantitative data

Econometric Theory

Volumn 26, Issue 6, 2010, Pages 1607-1637

  Li, Qi ^a   Racine, Jeffrey S ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79251608780     PISSN: 02664666     EISSN: 14694360     Source Type: Journal    
DOI: 10.1017/S0266466609990739     Document Type: Article

References (30)

1. Aitchison, J. & C.G.G. Aitken (1976) Multivariate binary discrimination by the kernel method. Biometrika 63, 413-420.
2. Bhattacharya, R.N. & R.R. Rao (1986) Normal Approximations and Asymptotic Expansions. Krieger.
3. Bierens, H.J. (1982) Consistent model specification tests. Journal of Econometrics 20, 105-134.
4. Bierens, H.J. (1990) A consistent conditional moment test of functional form. Econometrica 58, 1433-1458.
5. Bierens, H.J. & W. Ploberger (1997) Asymptotic theory of integrated conditional moment tests. Econometrica 65, 1129-1151.
6. Cai, Z., M. Das, H. Xiong, & X. Wu (2006) Functional coefficient instrumental variables models. Journal of Econometrics 133, 207-241.
7. Cai, Z., J. Fan, & Q.W. Yao (2000) Functional-coefficient regression models for nonlinear time series. Journal of the American Statistical Association 95, 941-956.
8. Davidson, R. & J.G. MacKinnon (2000) Bootstrap tests: How many bootstraps? Econometric Reviews 19, 55-68.
9. de Jong, P. (1987), A central limit theorem for generalized quadratic forms. Probability Theory and Related Fields 75, 261-277.
10. Escanciano, J.C. & D. Jacho-Ch́avez (2009) Uniform in bandwidth consistency of smooth varying coefficient estimators. Economics Bulletin 29, 1892-1898.
11. Fan, J., Q.W. Yao, & Z. Cai (2003) Adaptive varying-coefficient linear models. Journal of the Royal Statistical Society, Series B 65, 57-80.
12. Fan, Y. & Q. Li (2000) Consistent model specification tests: Kernel-based tests versus Bierens' ICM tests. Econometric Theory 16, 1016-1041.
13. Gu, C. & P. Ma (2005) Generalized nonparametric mixed-effect models: Computation and smoothing parameter selection. Journal of Computational and Graphical Statistics 14, 485-504.
14. Hall, P. (1984) Central limit theorem for integrated square error of multivariate nonparametric density estimators. Journal of Multivariate Analysis 14, 1-16.
15. Hall, P., Q. Li, & J.S. Racine (2007) Nonparametric estimation of regression functions in the presence of irrelevant regressors, Review of Economics and Statistics 89, 784-789.
16. Hall, P., J.S. Racine, & Q. Li (2004) Cross-validation and the estimation of conditional probability densities. Journal of the American Statistical Association 99, 1015-1026.
17. Härdle, W., P. Hall, & J.S. Marron (1988) How far are automatically chosen regression smoothing parameters from their optimum? Journal of The American Statistical Association 83, 86-101.
18. Härdle,W., P. Hall, & J.S. Marron (1992) Regression smoothing parameters that are not far from their optimum. Journal of the American Statistical Association 87, 227-233.
19. Härdle, W. & E. Mammen (1993) Comparing nonparametric versus parametric regression fits. Annals of Statistics 21, 1926-1947.
20. Härdle, W. & J. Marron (1985) Optimal bandwidth selection in nonparametric regression function estimation. Annals of Statistics 13, 1465-1481.
21. Hsiao, C., Q. Li, & J.S. Racine (2007) A consistent model specification test with mixed categorical and continuous data. Journal of Econometrics 140, 802-826.
22. Journal of Multivariate Analysis (2004) Vol. 91. Special issue on semiparametric and nonparametric mixed models.
23. Lee, J. (1990), U-Statistics: Theory and Practice. Marcel Dekker.
24. Li, Q., C.J. Huang, D. Li, & T.T. Fu (2002) Semiparametric smooth coefficient models. Journal of Business & Economic Statistics 20, 412-422.
25. Li, Q. & J. Racine (2007) Nonparametric Econometrics: Theory and Practice. Princeton University Press.
26. Li, Q. & J. Zhou (2005) The uniqueness of cross-validation selected smoothing parameters in kernel estimation of nonparametric models. Econometric Theory 21, 1017-1025.
27. Masry, E. (1996) Multivariate regression estimation: Local polynomial fitting for time series. Stochastic Processes and Their Applications 65, 81-101. (Pubitemid 126167293)
28. Rosenthal, H.P. (1970) On the subspace of l p (p ≥à 1) spanned by sequences of independent random variables. Israel Journal of Mathematics 8, 273-303.
29. Zeger, S.L. & P.J. Diggle (1994) Semiparametric models for longitudinal data with application to cd4 cell numbers in HIV seroconverters. Biometrics 50, 689-699.
30. Zhang, D., X. Lin, J. Raz, & M. Sowers (1998) Semiparametric stochastic mixed models for longitudinal data. Journal of the American Statistical Association 93, 710-719.