ENGLISH

Deconvolution Problems in Nonparametric Statistics

By Alexander Meister (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
3540875565, 9783540875567
DOI
10.1007/978-3-540-87557-4
Language
english
Format
PDF
Filesize
2 MB (1931333 bytes)
Series
Lecture Notes in Statistics 193
Edition
1
Pages
210\210
Scanned
no
Time added
2011-06-04 13:46:07
Statistical Theory and Methods

Description

This book gives an introduction to deconvolution problems in nonparametric statistics, e.g. density estimation based on contaminated data, errors-in-variables regression, and image reconstruction. Some real-life applications are discussed while we mainly focus on methodology (description of the estimation procedures) and theory (minimax convergence rates with rigorous proofs and adaptive smoothing parameter selection). In general, we have tried to present the proofs in such manner that only a low level of previous knowledge is needed. An appendix chapter on further results of Fourier analysis is also provided.

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