165
Views
168
CrossRef citations to date
0
Altmetric
Theory and Methods

Transformations in Density Estimation

, &
Pages 343-353 | Received 01 Oct 1989, Published online: 27 Feb 2012

References

  • Abramson , I. S. 1982 . On Bandwidth Variation in Kernel Estimates–A Square Root Law . The Annals of Statistics , 10 : 1217 – 1223 .
  • Antle , C. E. 1985 . “ Lognormal Distribution ” . In Encyclopedia of Statistical Sciences , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 5 , 134 – 136 . New York : John Wiley .
  • Atkinson , A. C. and Cox , D. R. 1988 . “ Transformations ” . In Encyclopedia of Statistical Sciences , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 9 , 312 – 318 . New York : John Wiley .
  • Balanda , K. P. and MacGillivray , H. L. 1988 . Kurtosis: A Critical Review . The American Statistician , 42 : 111 – 119 .
  • Breiman , L. , Meisel , W. and Purcell , E. 1977 . Variable Kernel Estimates of Probability Density Estimates . Technometrics , 19 : 135 – 144 .
  • Carroll , R. J. and Ruppert , D. 1988 . Transformation and Weighting in Regression , New York : Chapman & Hall .
  • Devroye , L. and Györfi , L. 1985 . Nonparametric Density Estimation: The L1 View , New York : John Wiley .
  • Härdle , W. and Scott , D. W. 1989 . Smoothing in Low and High Dimensions by Weighted Averaging Using Rounded Point unpublished manuscript
  • Hall , P. and Marron , J. S. 1987 . Estimation of integrated Squared Density Derivatives . Statistics and Probability Letters , 6 : 109 – 115 .
  • Hall , P. and Marron , J. S. 1988 . Variable Window Width Kernel Estimates of Probability Densities . Probability Theory and Related Fields , 80 : 37 – 49 .
  • Park , B. U. and Marron , J. S. 1990 . Comparison of Data-Driven Bandwidth Selectors . Journal of the American Statistical Association , 85 : 66 – 72 .
  • Ruppert , D. 1987 . What Is Kurtosis?: An Influence Function Approach . The American Statistician , 41 : 1 – 5 .
  • Schmitz , H. P. and Marron , J. S. 1989 . Simultaneous Estimation of Several Size Distributions of Income , University of Bonn, Dept. of Economics . Discussion Paper A-186, SFB 303
  • Scott , D. W. and Terrell , G. R. 1987 . Biased and Unbiased Cross-Validation in Density Estimation . Journal of the American Statistical Society , 82 : 1131 – 1146 .
  • Silverman , B. W. 1986 . Density Estimation for Statistics and Data Analysis , New York : Chapman & Hall .
  • Stacy , E. W. 1962 . A Generalization of the Gamma Distribution . The Annals of Mathematical Statistics , 33 : 1187 – 1192 .
  • Terrell , G. R. and Scott , D. W. 1985 . Oversmoothing Nonparametric Density Estimates . Journal of the American Statistical Association , 80 : 209 – 214 .
  • Van Zwet , W. R. 1964 . Convex Transformations of Random Variables , Amsterdam : Mathematisch Centrum .

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.