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Original Articles

On bandwidth selection in kernel density estimation

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Pages 419-428 | Received 09 Sep 2011, Accepted 05 Jan 2012, Published online: 06 Feb 2012

References

  • Akaike , H. 1954 . An Approximation to the Density Function . Annals of the Institute of Statistical Mathematics , 6 : 127 – 132 .
  • Chiu , S.-T. 1990 . Why Bandwidth Selectors Tend to Choose Smaller Bandwidths, and a Remedy . Biometrika , 77 ( 1 ) : 222 – 226 .
  • Chiu , S.-T. 1991 . Bandwidth Selection for Kernel Density Estimation . Annals of Statistics , 19 ( 4 ) : 1883 – 1905 .
  • Glad , I. K. , Hjort , N. L. and Ushakov , N. G. 2007 . Mean-Squared Error of Kernel Estimators for Finite Values of the Sample Size . Journal of Mathematical Sciences , 146 ( 4 ) : 5977 – 5983 .
  • Marron , J. S. 1988 . Authomatic Smoothing Parameter Selection: A Survey . Empirical Economics , 13 : 187 – 208 .
  • Marron , J. S. and Wand , M. P. 1992 . Exact Mean Integrated Squared Error . Annals of Statistics , 20 : 712 – 736 .
  • Parzen , E. 1962 . On Estimation of a Probability Density Function and Mode . Annals of Mathematical Statistics , 33 : 1065 – 1076 .
  • Rosenblatt , M. 1956 . Remarks on Some Nonparametric Estimates of a Density Function . Annals of Mathematical Statistics , 27 : 832 – 837 .
  • Wand , M. P. and Jones , M. C. 1995 . Kernel Smoothing , London : Chapman and Hall .
  • Woodroofe , M. 1970 . On Choosing a Delta Sequence . Annals of Mathematical Statistics , 41 : 1665 – 1671 .

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