References

CONVERGENCE RATES OF WAVELET ESTIMATORS IN SEMIPARAMETRIC REGRESSION MODELS WITH MARTINGALE DIFFERENCE ERROR


[1] A. Antoniads, G. Gregoire and I. W. Mckeague, Wavelet methods for curve estimation, J. Amer. Statist. Assoc. 89 (1994), 1340-1353.

[2] G. X. Chai and K. J. Xu, Wavelet smoothing in semiparametric regression model, Chinese Journal of Applied Probability and Statistics 15(1) (1999), 97-105.

[3] Wolfgang Hardle, Hua Liang and Jiti Gao, Partially Linear Models, Physica Verlag, Heidelberg, 2000.

[4] Xunming He and Peide Shi, Bivariate tensor product B splines in a partly linear model, J. Multivariate Analysis 58 (1996), 162-181.

[5] Hongchang Hu and Dihe Hu, Strong consistency of wavelet estimation in semiparametric regression models, Acta Mathemtica Sinca 49(5) (2006), 1417-1424.

[6] Hongchang Hu, Ridge estimation of a semiparametric regression model, J. Computational and Applied Mathematics 176 (2005), 215-222.

[7] Hongchang Hu and Haiyan Sun, Stably convergence in distribution about wavelet estimation in semiparametric regression model, Journal of Wuhan University (Natural Science Edition) 49(5) (2003), 571-574.

[8] Chen Hung, Convergence rates for parametric components in a partly linear model, The Annals of Statistics 16(1) (1988), 136-146.

[9] Guoliang Li and Luqin Liu, Convergence rate of the estimate of the regression function under martingale difference sequence, J. Sys. Sci. & Math. Scis. 27(1) (2007), 152-160.

[10] Hanying Liang, Dongxia Zhang and Lu Baoxian, Wavelet estimation in nonparametric model under martingale difference errors, Appl. Math. J. Chinese Univ. Ser. B 19(3) (2004), 302-310.

[11] W. M. Qian, G. X. Cai and F. Y. Jiang, Error variance of wavelet estimate in semiparametric regression, Chinese Journal of Annual of Math. 21(3) (2000), 341-350.

[12] W. M. Qian and G. X. Cai, Strong approximability of wavelet estimate in semiparametric regression model, Science in China (series A) 29(3) (1999), 233-240.

[13] P. Speckman, Kernel smoothing in partial linear models, J. R. Statist. Soc. B 50 (1988), 413-436.

[14] L. G. Xue, Rates of random weighting approximation of wavelet estimates in semiparametric regression model, Acta Mathematicae Applicatae Sinica 26(1) (2003), 11-25.

[15] Z. Z. Yan, W. Z. Wu and Z. K. Nie, Near neighbour estimate in semiparametric regression model: The martingale difference error sequence case, Chinese Journal of Applied Probability and Statistics 17(1) (2001), 44-50.

[16] S. C. Yang, Nonparametric regression weighted function estimator for martingale sequence, J. Sys. Sci. & Math. Scis. 19(1) (1999), 79-85.