A simple bootstrap bandwidth selector for local polynomial fitting

References

• Gasser , T. , Kneip , A. and Köhler , W. 1991 . A flexible and fast method for automatic smoothing . J. Amer. Statist. Assoc. , 86 : 643 – 652 .
   Web of Science ®Google Scholar
• Ruppert , D. , Sheather , S. J. and Wand , M. P. 1995 . An effective bandwidth selector for local least squares regression . J. Amer. Statist. Assoc. , 90 : 1257 – 1270 .
   Web of Science ®Google Scholar
• Beran , J. and Feng , Y. 2002 . Iterative plug-in algorithms for SEMIFAR models – definition, convergence and asymptotic properties . J. Comput. Graph. Stat. , 11 : 690 – 713 .
   Web of Science ®Google Scholar
• Müller , H.-G. 1985 . Empirical bandwidth choice for nonparametric kernel regression by means of pilot estimators . Statist. Decisions , : 193 – 206 .
   Google Scholar
• Härdle , W. , Hall , P. and Marron , J. S. 1992 . Regression smoothing parameters that are not far from their optimum . J. Amer. Statist. Assoc. , 87 : 227 – 233 .
   Web of Science ®Google Scholar
• Heiler , S. and Feng , Y. 1998 . A simple root n bandwidth selector for nonparametric regression . J. Nonparametr. Statist. , 9 : 1 – 21 .
   Web of Science ®Google Scholar
• Taylor , C. C. 1989 . Bootstrap choice of the smoothing parameter in kernel density estimation . Biometrika , 76 : 705 – 712 .
   Web of Science ®Google Scholar
• Faraway , J. J. and Jhun , M. 1990 . Bootstrap choice of bandwidth for density estimation . J. Amer. Statist. Assoc. , 85 : 1119 – 1122 .
   Web of Science ®Google Scholar
• Marron , J. S. 1992 . “ Bootstrap bandwidth selection ” . In Exploring the Limits of Bootstrap , Edited by: LePage , R. and Billard , L. 249 – 262 . New York : John Wiley .
   Google Scholar
• Cao , R. 1993 . Bootstrapping the mean integrated squared error . J. Multivariate Anal. , 45 : 137 – 160 .
   Web of Science ®Google Scholar
• Gijbels , I. and Goderniaux , A. C. 2004 . Bandwidth selection for change point estimation in nonparametric regression . Technometrics , 46 : 76 – 86 .
   Web of Science ®Google Scholar
• Gijbels , I. and Goderniaux , A. C. 2004 . Data-driven discontinuity detection in derivatives of a regression function . Commun. Statist. Theory Methods , 33 : 851 – 871 .
   Google Scholar
• Hall , P. and Park , B. U. 2004 . Bandwidth choice for local polynomial estimation of smooth boundaries . J. Multivariate Anal. , 91 : 240 – 261 .
   Web of Science ®Google Scholar
• Loader , C. R. 1999 . Bandwidth selection: classical or plug-in? . Ann. Stat. , 27 : 415 – 438 .
   Web of Science ®Google Scholar
• Rice , J. 1984 . Bandwidth choice for nonparametric regression . Ann. Statist. , 12 : 1215 – 1230 .
   Web of Science ®Google Scholar
• Ruppert , D. and Wand , M. P. 1994 . Multivariate locally weighted least squares regression . Ann. Statist. , 22 : 1346 – 1370 .
   Web of Science ®Google Scholar
• Fan , J. and Gijbels , I. 1996 . Local Polynomial Modeling and its Applications , London : Chapman & Hall .
   Google Scholar
• Härdle , W. and Bowman , A. W. 1988 . Bootstrapping in nonparametric regression: local adaptive smoothing and confidence bands . J. Amer. Statist. Assoc. , 83 : 102 – 110 .
   Web of Science ®Google Scholar
• Hall , P. and Marron , J. S. 1990 . On variance estimation in nonparametric regression . Biometrika , 77 : 415 – 419 .
   Web of Science ®Google Scholar
• Hall , P. , Kay , J. W. and Titterington , D. M. 1990 . Asymptotically optimal difference-based estimation of variance in nonparametric regression . Biometrika , 77 : 521 – 528 .
   Web of Science ®Google Scholar
• Müller , H.-G. 1988 . Nonparametric Analysis of Longitudinal Data , Berlin : Springer-Verlag .
   Google Scholar
• Gasser , T. , Sroka , L. and Jennen-Steinmetz , C. 1986 . Residual variance and residual pattern in nonlinear regression . Biometrika , 73 : 625 – 633 .
   Web of Science ®Google Scholar
• Feng , Y. 1999 . Kernel- and Locally Weighted Regression – With Applications to Time Series Decomposition , Berlin : Verlag für Wissenschaften und Forschung .
   Google Scholar