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130626 ||| eng |
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|a 9783540875574
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|a Meister, Alexander
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245 |
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|a Deconvolution Problems in Nonparametric Statistics
|h Elektronische Ressource
|c by Alexander Meister
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250 |
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|a 1st ed. 2009
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2009, 2009
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300 |
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|a VI, 210 p
|b online resource
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505 |
0 |
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|a Density Deconvolution -- Nonparametric Regression with Errors-in-Variables -- Image and Signal Reconstruction
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653 |
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|a Statistical Theory and Methods
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653 |
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|a Statistics
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653 |
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|a Probability Theory
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653 |
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|a Probabilities
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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490 |
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|a Lecture Notes in Statistics
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028 |
5 |
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|a 10.1007/978-3-540-87557-4
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856 |
4 |
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|u https://doi.org/10.1007/978-3-540-87557-4?nosfx=y
|x Verlag
|3 Volltext
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|a 519.2
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520 |
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|a 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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