Description 
1 online resource (vi, 210 pages) 
Series 
Lecture notes in statistics ; 193 

Lecture notes in statistics (SpringerVerlag) ; 193

Contents 
Introduction  Density Deconvolution  Nonparametric Regression with Errorsinvariables  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, errorsinvariables regression, and image reconstruction. Some reallife 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 

9783540875574 

(paperback) 

(paperback) 
