Deconvolution Problems in Nonparametric Statistics

Alexander Meister

ISBN 10: 3540875565 ISBN 13: 9783540875567

Editore: Springer Vieweg, 2009

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Riassunto:

This book gives an introduction to deconvolution problems in nonparametric statistics. It details some real-life applications as well as methodology and theory.

Dalla quarta di copertina:

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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Titolo: Deconvolution Problems in Nonparametric ...
Casa editrice: Springer Vieweg
Data di pubblicazione: 2009
Legatura: Taschenbuch
Condizione: Neu

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Deconvolution Problems in Nonparametric Statistics (Lecture Notes in Statistics, 193)

Meister, Alexander

Editore: Springer, 2009

ISBN 10: 3540875565 ISBN 13: 9783540875567

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Condizione: good. USED book in GOOD condition. Great binding, pages and cover show normal signs of wear from use. Codice articolo GCM.1GMD

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Deconvolution Problems in Nonparametric Statistics

Alexander Meister

Editore: Springer Berlin Heidelberg, 2009

ISBN 10: 3540875565 ISBN 13: 9783540875567

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a general unifying approach to statistical deconvolution topics with easy to understand proofs and applicationsDeconvolution problems occur in many ?elds of nonparametric statistics, for example, density estimation based on contaminated data, nonp. Codice articolo 4901669

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Deconvolution Problems in Nonparametric Statistics

Alexander Meister

Editore: Springer Berlin Heidelberg, 2009

ISBN 10: 3540875565 ISBN 13: 9783540875567

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Da: AHA-BUCH GmbH, Einbeck, Germania

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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Deconvolution problems occur in many elds of nonparametric statistics, for example, density estimation based on contaminated data, nonparametric - gression with errors-in-variables, image and signal deblurring. During the last two decades, those topics have received more and more attention. As appli- tions of deconvolution procedures concern many real-life problems in eco- metrics, biometrics, medical statistics, image reconstruction, one can realize an increasing number of applied statisticians who are interested in nonpa- metric deconvolution methods; on the other hand, some deep results from Fourier analysis, functional analysis, and probability theory are required to understand the construction of deconvolution techniques and their properties so that deconvolution is also particularly challenging for mathematicians. Thegeneraldeconvolutionprobleminstatisticscanbedescribedasfollows: Our goal is estimating a function f while any empirical access is restricted to some quantity h = f G = f(x y)dG(y), (1. 1) that is, the convolution of f and some probability distribution G. Therefore, f can be estimated from some observations only indirectly. The strategy is estimating h rst; this means producing an empirical version h of h and, then, applying a deconvolution procedure to h to estimate f. In the mathematical context, we have to invert the convolution operator with G where some reg- ularization is required to guarantee that h is contained in the invertibility domain of the convolution operator. The estimator h has to be chosen with respect to the speci c statistical experiment. Codice articolo 9783540875567

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Deconvolution Problems in Nonparametric Statistics

Alexander Meister

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg M�r 2009, 2009

ISBN 10: 3540875565 ISBN 13: 9783540875567

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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania

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Taschenbuch. Condizione: Neu. Neuware -Deconvolution problems occur in many elds of nonparametric statistics, for example, density estimation based on contaminated data, nonparametric - gression with errors-in-variables, image and signal deblurring. During the last two decades, those topics have received more and more attention. As appli- tions of deconvolution procedures concern many real-life problems in eco- metrics, biometrics, medical statistics, image reconstruction, one can realize an increasing number of applied statisticians who are interested in nonpa- metric deconvolution methods; on the other hand, some deep results from Fourier analysis, functional analysis, and probability theory are required to understand the construction of deconvolution techniques and their properties so that deconvolution is also particularly challenging for mathematicians. Thegeneraldeconvolutionprobleminstatisticscanbedescribedasfollows: Our goal is estimating a function f while any empirical access is restricted to some quantity h = f G = f(x y)dG(y), (1. 1) that is, the convolution of f and some probability distribution G. Therefore, f can be estimated from some observations only indirectly. The strategy is � estimating h rst; this means producing an empirical version h of h and, then, � applying a deconvolution procedure to h to estimate f. In the mathematical context, we have to invert the convolution operator with G where some reg- � ularization is required to guarantee that h is contained in the invertibility � domain of the convolution operator. The estimator h has to be chosen with respect to the speci c statistical experiment.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch. Codice articolo 9783540875567

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Deconvolution Problems in Nonparametric Statistics

Alexander Meister

Editore: Springer Berlin Heidelberg Mrz 2009, 2009

ISBN 10: 3540875565 ISBN 13: 9783540875567

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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania

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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Deconvolution problems occur in many elds of nonparametric statistics, for example, density estimation based on contaminated data, nonparametric - gression with errors-in-variables, image and signal deblurring. During the last two decades, those topics have received more and more attention. As appli- tions of deconvolution procedures concern many real-life problems in eco- metrics, biometrics, medical statistics, image reconstruction, one can realize an increasing number of applied statisticians who are interested in nonpa- metric deconvolution methods; on the other hand, some deep results from Fourier analysis, functional analysis, and probability theory are required to understand the construction of deconvolution techniques and their properties so that deconvolution is also particularly challenging for mathematicians. Thegeneraldeconvolutionprobleminstatisticscanbedescribedasfollows: Our goal is estimating a function f while any empirical access is restricted to some quantity h = f G = f(x y)dG(y), (1. 1) that is, the convolution of f and some probability distribution G. Therefore, f can be estimated from some observations only indirectly. The strategy is estimating h rst; this means producing an empirical version h of h and, then, applying a deconvolution procedure to h to estimate f. In the mathematical context, we have to invert the convolution operator with G where some reg- ularization is required to guarantee that h is contained in the invertibility domain of the convolution operator. The estimator h has to be chosen with respect to the speci c statistical experiment. 216 pp. Englisch. Codice articolo 9783540875567

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