Boundary corrected cubic smoothing splines

Journal of Statistical Computation and Simulation

Volumn 70, Issue 2, 2001, Pages 107-121

  Huang, Chunfeng ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Boundary bias; Confidence interval; Cubic smoothing spline; Order n algorithm

Indexed keywords

EID: 0035624768     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650108812111     Document Type: Article

References (13)

1. Cox, D. (1983) Asymptotics for M-type smoothing splines. Ann. Statist., 11, 530-551.
2. de Boor, C. (1978) A practical guide to splines. Springer-Verlag, New York.
3. Eubank, R. L. (1999) Nonparametric regression and spline smoothing, second edition. Dekker, New York.
4. Eubank, R. L. and Speckman, P. L. (1993) Confidence bands in nonparametric regression. Journal of the American Statistical Association, 88, 1287-1301.
5. Eubank, R. L. and Speckman, P. L. (1991) A bias reduction theorem with applications in nonparametric regression. Scand. J. Statist., 18, 211-222.
6. Eubank, R. L. and Kim, J. T. (1998) A simple second order smoother. J. Statist. Comput. Simul., 61, 271-285.
7. Gasser, T., Sroka, L. and Jennen-Steinmetz, C. (1986) Residual variance and residual pattern in nonlinear regression. Biometrika, 73, 625-633.
8. Hutchinson, M. F. and de Hoog, F. R. (1985) Smoothing noisy data with spline functions. Numer. Math., 47, 99-106.
9. Messer, K. (1991) A comparison of a spline estimate to its equivalent kernel estimate. Ann. Statist., 19, 817-829.
10. Oehlert, G. W. (1992) Relaxed boundary smoothing splines. Ann. Statist., 20, 146-160.
11. Rice, J. and Rosenblatt, M. (1983) Smoothing splines: regression, derivatives and deconvolution. Ann. Statist., 11, 141-156.
12. Wahba, G. (1983) Bayesian "confidence intervals" for the cross-validated smoothing spline. Journal of the Royal Statistical Society, Series B, 45, 133-150.
13. Wahba, G. (1990) Spline Models for Observational Data. CBMS-NSF series. SIAM, Philadelphia.