PARTIALLY LINEAR VARYING-COEFFICIENT PANEL DATA MODELS WITH FIXED EFFECTS

Wu Qifeng (P. R. China), Luo Xianhua (P. R. China) and Li Yuan (P. R. China)

Received January 17, 2008

References:

[1] I. Ahmad, S. Leelahanon and Q. Li, Efficient estimation of a semiparametric partially linear varying coefficient model, Ann. Statist. 33 (2005), 258-283. [2] B. H. Baltagi and D. Li, Series estimation of partially linear panel data models with fixed effects, Ann. Economics and Finance 3 (2002), 103-116. [3] C. T. Chiang, J. A. Rice and C. O. Wu, Smoothing spline estimation for varying coefficient models repeatedly measured dependent variables, J. Amer. Statist. Assoc. 96 (2001), 605-619. [4] J. Fan and T. Huang, Profile likelihood inferences on semiparametric varying-coefficient partially linear models, Bernoulli 11 (2005), 1031-1057. [5] J. Fan and R. Li, New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis, J. Amer. Statist. Assoc. 99 (2004), 710-723. [6] J. Fan and J. Zhang, Two-step estimation of functional linear models with applications to longitudinal data, J. Roy. Statist. Soc. Ser. B. 62 (2000), 303-322. [7] D. R. Hoover, J. A. Rice, C. O. Wu and L. P. Yang, Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data, Biometrika 85 (1998), 809-822. [8] J. Z. Huang, C. O. Wu and L. Zhou, Varying-coefficient models and basis function approximations for the analysis of repeated measurements, Biometrika 89 (2002), 111-128. [9] Q. Li, C. J. Huang, D. Li and T. T. Fu, Semiparametric smooth coefficient models, J. Business Econ. Statist. 20 (2002), 412-422. [10] D. Y. Lin and Z. Ying, Semiparametric and nonparametric regression analysis of longitudinal data (with discussion), J. Amer. Statist. Assoc. 96 (2001), 103-126. [11] T. Martinussen and T. H. Scheike, A semiparametric additive regression model for longitudinal data, Biometrika 86 (1999), 691-702. [12] T. Martinussen and T. H. Scheike, A nonparametric dynamic additive regression model for longitudinal data, Ann. Statist. 28 (2000), 1000-1025. [13] T. Martinussen and T. H. Scheike, Sampling adjusted analysis of dynamic additive regression model for longitudinal data, Scand. J. Statist. 28 (2001), 303-323. [14] K. Mundra, Nonparametric slope estimation for fixed effects panel data, Working Paper, Department of Economics, San Diego State University, 2005. [15] L. Su and A. Ullah, Profile likelihood estimation of partially linear panel data models with fixed effects, Economics Lett. 92 (2006), 75-81. [16] Y. Sun and H. Wu, Semiparametic time-varying coefficients regression model for longitudinal data, Scand. J. Statist. 32 (2005), 21-47. [17] C. O. Wu, T. Chiang and D. R. Hoover, Asymptotic confidence regions for kernel smoothing of a varying-coefficient model with longitudinal data, J. Amer. Statist. Assoc. 93 (1998), 1388-1402. [18] H. Wu and J. T. Zhang, Local polynomial mixed-effects models for longitudinal data, J. Amer. Statist. Assoc. 97 (2002), 883-897. [19] J. You and Y. Zhou, Empirical likelihood for semiparametric varying-coefficient partially linear regression models, Statist. Probab. Lett. 76 (2006), 412-422. [20] J. You and G. Chen, Estimation of a semiparametric varying-coefficient partially linear errors-in-variables model, J. Multivariate Anal. 97 (2006), 324-341. [21] W. Zhang, S. Y. Lee and X. Song, Local polynomial fitting in semivarying coefficient models, J. Multivariate Anal. 82 (2002), 166-188. [22] X. Zhou and J. You, Wavelet estimation in varying-coefficient partially linear regression models, Statist. Probab. Lett. 68 (2004), 91-104.

Keywords and phrases: partially linear varying-coefficients models, panel data, profile likelihood, local linear regression, fixed effects.