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Author Meister, Alexander.

Title Deconvolution problems in nonparametric statistics / Alexander Meister
Published Berlin : Springer, [2009]
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Description 1 online resource (vi, 210 pages)
Series Lecture notes in statistics ; 193
Lecture notes in statistics (Springer-Verlag) ; 193
Contents Introduction -- Density Deconvolution -- Nonparametric Regression with Errors-in-variables -- Image and Signal Reconstruction -- Tools from Fourier Analysis
Summary 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Nonparametric statistics.
Convolutions (Mathematics)
Error analysis (Mathematics)
Form Electronic book
LC no. 2008940961
ISBN 3540875573