230
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Twicing local linear kernel regression smoothers

&
Pages 399-417 | Received 24 Jan 2011, Accepted 25 Oct 2011, Published online: 06 Jan 2012

References

  • Cleveland , W. S. 1979 . Robust locally Weighted Regression and Smoothing Scatterplots . Journal of the American Statistical Association , 74 : 829 – 836 .
  • Daniels , H. E. 1962 . The Estimation of Spectral Densities . Journal of the Royal Statistical Society. Series B. , 24 : 185 – 198 .
  • Fan , J. 1992 . Design-Adaptive Nonparametric Regression . Journal of the American Statistical Association, , 87 : 998 – 1004 .
  • Fan , J. and Gijbels , I. 1996 . Local Polynomial Modelling and Its Applications , London : Chapman and Hall .
  • Fan , J. , Gasser , T. , Gijbels , I. , Brockmann , M. and Engel , J. 1997 . Local Polynomial Regression: Optimal Kernels and Asymptotic Minimax Efficiency . Annals of the Institute of Statistical Mathematics , 49 : 79 – 99 .
  • Gasser , T. , Müller , H.-G. and Mammitzsch , V. 1985 . Kernels for Nonparametric Curve Estimation . Journal of the Royal Statistical Society. Series B , 47 : 238 – 252 .
  • Granovsky , B. L. and Müller , H.-G. 1991 . Optimising Kernel Methods: A Unifying Variational Principle . International Statistical Review, , 59 : 373 – 388 .
  • Härdle , W. 1986 . A Note on Jackknifing Kernel Regression Function Estimators . IEEE Transactions on Information Theory , 32 : 298 – 300 .
  • Jones , M. C. and Foster , P. J. 1994 . Generalised Jackknifing and Higher Order Kernels . Journal of Nonparametric Statistics , 3 : 81 – 94 .
  • Jones , M. C. and Sigorini , D. F. 1997 . A Comparison of Higher-Order Bias Kernel Density Estimators . Journal of the American Statistical Association , 92 : 1063 – 1073 .
  • Jones , M. C. , Davis , S. J. and Park , B. U. 1994 . Versions of Kernel-Type Regression Estimators . Journal of the American Statistical Association , 89 : 825 – 832 .
  • Jones , M. C. , Linton , O. and Nielsen , J. P. 1995 . A Simple Bias Reduction Method for Density Estimation . Biometrika , 82 : 327 – 338 .
  • Kauermann , G. , Müller , M. and Carroll , R. J. 1998 . The Efficiency of Bias-Corrected Estimators for Nonparametric Kernel Estimation Based on Local Estimating Equations . Statistics and Probability Letters , 37 : 41 – 47 .
  • Linton , O. and Nielsen , J. P. 1994 . A Multiplicative Bias Reduction Method for Nonparametric Regression . Statistics and Probability Letters , 19 : 181 – 187 .
  • Mack , Y. and Silverman , B. 1982 . Weak and Strong Uniform Consistency of Kernel Regression Estimates . Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete , 60 : 405 – 415 .
  • Nielsen , J. P. and Tanggard , C. 2001 . Boundary and Bias Correction in Kernel Hazard Estimation . Scandinavian Journal of Statistics , 28 : 675 – 698 .
  • Nielsen , J. P. , Tanggard , C. and Jones , M. C. 2009 . Local Linear Density Estimation for Filtered Survival Data, with Bias Correction . Statistics , 43 : 167 – 186 .
  • Schucany , W. R. and Sommers , J. P. 1977 . Improvement of Kernel Type Estimators . Annals of the Institute of Statistical Mathematics , 72 : 420 – 423 .
  • Seifert , B. and Gasser , T. 1996 . Finite Sample Variance of Local Polynomials: Analysis and Solutions . Journal of the American Statistical Association , 91 : 267 – 275 .
  • Stuetzle , W. and Mittal , Y. 1979 . “ Some Comments on the Asymptotic Behaviour of Robust Smoothers ” . In Smoothing Techniques for Curve Estimation: Proceedings , Edited by: Gasser , T. and Rosenbalatt , M. 191 – 195 . Berlin : Springer . (chap. 11)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.