31
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

The anchor position of histograms and frequency polygons: quantitative and qualitative smoothing

Pages 691-710 | Received 01 Nov 1993, Published online: 27 Jun 2007

References

  • Fisher , N.I. 1989 . “Smoothing a sample of circular data” . J. Structural Geology , 11 : 775 – 778 .
  • Freedman , D. and Diaconis , P. 1981 . “On the histogram as a density estimator: L2 theory” . Z. Wahrsch. verw. Gebiete , 57 : 453 – 476 .
  • Härdle , W. 1991 . Smoothing Techniques With Implementation in S , New York : Springer-Verlag .
  • Härdle , W. and Scott , D.W. 1992 . “Smoothing by weighted average of rounded points” . Comput. Statist , 7 : 97 – 128 .
  • IMSL . 1989 . Stat/Library Version 1.1 Houston Author
  • Izenman , A.J. 1991 . “Recent developments in nonparametric density estimation” . J. Amer. Statist. Assoc , 86 : 205 – 224 .
  • Janssen , P. , Marron , J.S. , Veraverbeke , N. and Sarle , W. 1995 . “Scale measures for bandwidth selection” . J.Nonparam. Statist , 4 to appear
  • Jones , M.C. 1993 . “Simple boundary correction for kernel density estimation” . Statist Comput , 3 : 135 – 146 .
  • Jones , M.C. , Samiuddin , M. , Al-Harbey , A.H. and Maatouk , T.A.H. 1994 . “Simple smoothed histograms,” unpublished manuscript
  • Mammen , E. 1991a . “Nonparametric regression under qualitative smoothness assumptions” . Ann. Statist , 19 : 741 – 759 .
  • Mammen , E. 1991b . “On qualitative smoothness of kernel density estimates,” unpublished manuscript
  • Marron , J.S. 1995 . “Assessing bandwidth selectors with visual error criteria” . J. Amer. Statist. Assoc , 90 to appear
  • Marron , J.S. and Tsybakov , A.B. 1993 . “Visual error criteria for qualitative smoothing,” unpublished manuscript
  • Park , B.U. and Turlach , B.A. 1992 . “Practical performance of several data driven bandwidth selectors (with discussion)” . Comput Statist , 7 : 251 – 270 . 275-277, 283-285
  • Samiuddin , M. , Jones , M.C. and el-Sayyad , G.M. 1993 . “On bin-based density estimation” . J. Statist. Comput. Simul , 47 : 241 – 252 .
  • Scott , D.W. 1979 . “On optimal and data-based histograms” . Biometrika , 66 : 605 – 610 .
  • Scott , D.W. 1985 . “Frequency polygons: theory and application” . J. Amer. Statist. Assoc , 80 : 348 – 354 .
  • Scott , D.W. 1992 . Multivariate Density Estimation: Theory, Practice, and Visualization , New York : John Wiley .
  • Sheather , S.J. and Jones , M.C. 1991 . “A reliable data-based bandwidth selection method for kernel density estimation” . J. R. Statist Soc. Ser. , B 53 : 683 – 690 .
  • Silverman , B. 1986 . Density Estimation for Statistics and Data Analysis , London : Chapman and Hall .
  • Simonoff , J.S. and Hurvich , CM. 1993 . “A study of the effectiveness of simple density estimation methods” . Comput. Statist , 8 : 259 – 278 .

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.