On bias reduction in local linear smoothing

Biometrika

Volumn 85, Issue 2, 1998, Pages 333-345

  Choi, Edwin ^a   Hall, Peter ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001367841     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/85.2.333     Document Type: Article

References (15)

1. CLEVELAND, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. J. Am. Statist. Assoc. 74, 829-36.
2. CLEVELAND, W. S. (1993). Visualizing Data. Summit, NJ: Hobart Press.
3. CLEVELAND, W. S. & DEVLIN, S. J. (1988). Locally weighted regression: an approach to regression analysis by local fitting. J. Am. Statist. Assoc. 83, 596-610.
4. CLEVELAND, W. S. & GROSSE, E. H. (1991). Computational methods for local regression. Statist. Comp. 1, 47-62.
5. CLEVELAND, W. S. & LOADER, C. (1996). Smoothing by local regression: principles and methods. In Statistical Theory and Computational Aspects of Smoothing, Ed. W. Hardie and M. G. Schimek, pp. 10-49. Heidelberg: Physica-Verlag.
6. FAN, J- (1993). Local linear regression smoothers and their minimax efficiencies. Ann. Statist. 21, 196-216.
7. FAN, J. & GIJBELS, I. (1996). Local Polynomial Modelling and its Applications. London: Chapman and Hall.
8. FARAWAY, J. J. & JHUN, M. (1990). Bootstrap choice of bandwidth for density estimation. J. Am. Statist. Assoc. 85, 1119-22.
9. HäRDLE, W. (1990). Applied Nonparametric Regression. Cambridge, U.K.: Cambridge University Press.
10. HALL, P. & TURLACH, B. A. (1997). Interpolation methods for adapting to sparse design in nonparametric regression (with Comments). J. Am. Statist. Assoc. 92, 466-76.
11. HASTIE, T. & LOADER, C. (1993). Local regression: automatic kernel carpentry (with Comments). Statist. Sci. 8, 120-43.
12. RICE, J. A. (1984). Boundary modification for nonparametric regression. Commun. Statist. A 13, 893-900.
13. RUPPERT, D. & WAND, M. P. (1994). Multivariate locally weighted least squares regression. Ann. Statist. 22, 1346-70.
14. SEIFERT, B. & GASSER, T. (1996). Finite sample analysis of local polynomials: analysis and solutions. J. Am. Statist. Assoc. 91, 267-75.
15. WAND, M. P. & JONES M. C. (1995). Kernel Smoothing. London: Chapman and Hall.