186
Views
23
CrossRef citations to date
0
Altmetric
Theory and Methods

Deconvolution of a Distribution Function

&
Pages 1459-1465 | Received 01 Jul 1995, Published online: 17 Feb 2012

References

  • Barndorff-Nielson , O. E. and Cox , D. R. 1994 . Inference and Asymptotics , London : Chapman and Hall .
  • Carroll , R. and Hall , P. 1988 . “Optimal Rates of Convergence for Deconvolving a Density,” . Journal of the American Statistical Association , 83 : 1184 – 1186 .
  • Clayton , D. G. 1992 . “Models for the Analysis of Cohort and Case-Control Studies With Inaccurately Measured Exposures,” . In Statistical Models for Longitudinal Studies of Health , Edited by: Dwyer , J. H. , Feinleib , M. , Lippert , P. and Hoffmeister , H. 301 – 331 . New York : Oxford University Press .
  • Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . “Maximum Likelihood Estimation from Incomplete Data via the EM Algorithm,” . Journal of the Royal Statistical Society Ser. B , 39 : 1 – 38 .
  • Devroye , L. 1989 . “Consistent Deconvolution in Density Estimation,” . The Canadian Journal of Statistics , 17 : 235 – 239 .
  • Dharmadhikari , S. and Joav-Dev , K. 1988 . Unimodality, Convexity, and Applications , San Diego : Academic Press .
  • Fan , J. 1991 . “On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems,” . The Annals of Statistics , 19 : 1257 – 1272 .
  • Gaffy , W. 1959 . “A Consistent Estimator of a Component of a Convolution,” . Annals of Mathematical Statistics , 30 : 198 – 205 .
  • Hesse , C. H. 1995 . “Deconvolving a Density from Partially Contaminated Observations,” . Journal of Multivariate Analysis , 55 : 246 – 260 .
  • Laird , N. 1978 . “Nonparametric Maximum Likelihood Estimation of a Mixing Distribution,” . Journal of the American Statistical Association , 73 : 805 – 811 .
  • Liu , M. C. and Taylor , R. L. 1989 . “A Consistent Nonparametric Density Estimator for the Deconvolution Problem,” . The Canadian Journal of Statistics , 17 : 427 – 438 .
  • Maritz , J. S. 1968 . “On the Smooth Empirical Bayes Approach to Testing of Hypotheses and the Compound Decision Problem,” . Biometrika , 55 : 83 – 100 .
  • Maritz , J. S. and Lwin , T. 1989 . Empirical Bayes Methods , New York : Chapman and Hall .
  • Masry , E. and Rice , J. A. 1992 . “Gaussian Deconvolution via Differentiation,” . The Canadian Journal of Statistics , 20 : 9 – 21 .
  • Mendelsohn , J. and Rice , J. 1982 . “Deconvolution of Microflourometric Histograms With B-Splines,” . Journal of the American Statistical Association , 77 : 748 – 753 .
  • Scheinok , P. 1964 . “Estimation of a Component of a Convolution, When the Other Component is of the Exponential Type,” . Technometrics , 6 : 222 – 224 .
  • Snyder , D. L. , Miller , M. I. and Schulz , T. J. “Constrained Probability-Density Estimation From Noisy Data,” . Proceedings of the 1988 Conference on Information Science and Systems . pp. 170 – 172 .
  • Stefanski , L. and Bay , J. 1994 . “Parametric Jackknife Deconvolution of Finite Population CDF Estimators,” , North Carolina State University . Institute of Statistics Mimeograph Series No. 2262
  • Stefanski , L. and Carroll , R. 1990 . “Deconvoluting Kernel Density Estimators,” . Statistics , 21 : 169 – 184 .
  • Teicher , H. 1963 . “Identifiability of Finite Mixtures,” . Annals of Mathematical Statistics , 34 : 1265 – 1269 .
  • Zhang , C. 1990 . “Fourier Methods for Estimating Mixing Densities and Distributions,” . The Annals of Statistics , 18 : 806 – 831 .

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.