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Published by Springer, 2010
ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Methods of nonparametric estimation are located at the core of modern statistical science. The aim of this book is to give a short but mathematically self-contained introduction to the theory of nonparametric estimation. The emphasis is on the construction of optimal estimators; therefore the concepts of minimax optimality and adaptivity, as well as the oracle approach, occupy the central place in the book.This is a concise text developed from lecture notes and ready to be used for a course on the graduate level. The main idea is to introduce the fundamental concepts of the theory while maintaining the exposition suitable for a first approach in the field. Therefore, the results are not always given in the most general form but rather under assumptions that lead to shorter or more elegant proofs.The book has three chapters. Chapter 1 presents basic nonparametric regression and density estimators and analyzes their properties. Chapter 2 is devoted to a detailed treatment of minimax lower bounds. Chapter 3 develops more advanced topics: Pinsker's theorem, oracle inequalities, Stein shrinkage, and sharp minimax adaptivity. 228 pp. Englisch.
Published by Springer-Verlag New York Inc., 2010
ISBN 10: 1441927093ISBN 13: 9781441927095
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Published by Springer, 2010
ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Concise and self-contained treatment of the theoryThorough analysis of optimality and adaptivity issuesDetailed account on minimax lower boundsThis book will be a valuable reference for researchers in the eare of nonparametrics.
Published by Springer New York, 2008
ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Methods of nonparametric estimation are located at the core of modern statistical science. The aim of this book is to give a short but mathematically self-contained introduction to the theory of nonparametric estimation. The emphasis is on the construction of optimal estimators; therefore the concepts of minimax optimality and adaptivity, as well as the oracle approach, occupy the central place in the book.This is a concise text developed from lecture notes and ready to be used for a course on the graduate level. The main idea is to introduce the fundamental concepts of the theory while maintaining the exposition suitable for a first approach in the field. Therefore, the results are not always given in the most general form but rather under assumptions that lead to shorter or more elegant proofs.The book has three chapters. Chapter 1 presents basic nonparametric regression and density estimators and analyzes their properties. Chapter 2 is devoted to a detailed treatment of minimax lower bounds. Chapter 3 develops more advanced topics: Pinsker's theorem, oracle inequalities, Stein shrinkage, and sharp minimax adaptivity.
Published by Springer, 2010
ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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ISBN 10: 1441927093ISBN 13: 9781441927095
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