Translator Disclaimer
December 1998 Isotonic inverse estimators for nonparametric deconvolution
Geurt Jongbloed, Bert van Es, Martien van Zuijlen
Ann. Statist. 26(6): 2395-2406 (December 1998). DOI: 10.1214/aos/1024691476

Abstract

A new nonparametric estimation procedure is introduced for the distribution function in a class of deconvolution problems, where the convolution density has one discontinuity. The estimator is shown to be consistent and its cube root asymptotic distribution theory is established. Known results on the minimax risk for the estimation problem indicate the estimator to be efficient.

Citation

Download Citation

Geurt Jongbloed. Bert van Es. Martien van Zuijlen. "Isotonic inverse estimators for nonparametric deconvolution." Ann. Statist. 26 (6) 2395 - 2406, December 1998. https://doi.org/10.1214/aos/1024691476

Information

Published: December 1998
First available in Project Euclid: 21 June 2002

zbMATH: 0927.62029
MathSciNet: MR1700237
Digital Object Identifier: 10.1214/aos/1024691476

Subjects:
Primary: 62G05
Secondary: 62E20

Rights: Copyright © 1998 Institute of Mathematical Statistics

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.26 • No. 6 • December 1998
Back to Top