Simple and efficient improvements of multivariate local linear regression

Journal of Multivariate Analysis

Volumn 97, Issue 7, 2006, Pages 1501-1524

  Cheng, Ming Yen ^a   Peng, Liang ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Bandwidth selection; Kernel smoothing; Local linear regression; Multiple regression; Nonparametric regression; Variance reduction

Indexed keywords

EID: 33646797094     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.05.006     Document Type: Article

References (12)

1. M.-Y. Cheng, L. Peng, J.-S. Wu, Reducing variance in smoothing, Technical Report, 2005.
2. Cleveland W.S. Robust locally weighted regression and smoothing scatterplots. J. Amer. Statist. Assoc. 74 (1979) 829-836
3. Fan J. Local linear regression smoothers and their minimax efficiencies. Ann. Statist. 21 (1993) 196-216
4. Fan J., and Gijbels I. Variable bandwidth and local linear regression smoothers. Ann. Statist. 20 (1992) 2008-2036
5. Fan J., and Gijbels I. Local Polynomial Modelling and its Applications (1996), Chapman & Hall, London
6. Harrison D., and Rubinfeld D.L. Hedonic prices and the demand for clean air. J. Environ. Econ. Manage. 5 (1978) 81-102
7. Ruppert D. Empirical-bias bandwidths for local polynomial nonparametric regression and density estimation. J. Amer. Statist. Assoc. 92 (1997) 1049-1062
8. Ruppert D., and Wand M.P. Multivariate locally weighted least squares regression. Ann. Statist. 22 (1994) 1346-1370
9. Simonoff J.S. Smoothing Methods in Statistics (1996), Springer, New York
10. Stone C.J. Consistent nonparametric regression. Ann. Statist. 5 (1977) 595-645
11. Yang L., and Tschernig R. Multivariate bandwidth selection for local linear regression. J. Roy. Statist. Soc. Ser. B 61 (1999) 793-815
12. Wand M.P., and Jones M.C. Kernel Smoothing (1995), Chapman & Hall, London