AW van der Vaart's Books

Asymptotic Statistics

By: A. W. van der Vaart

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This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.

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470

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Cambridge University Press

Published Date

ISBN 10

0521784506

ISBN 13

9780521784504

Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,A. W. van der Vaart

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Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,A. W. van der Vaart

Bayesian nonparametrics comes of age with this landmark text synthesizing theory, methodology and computation.

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671

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Cambridge University Press

Published Date

ISBN 10

0521878268

ISBN 13

9780521878265

Weak Convergence and Empirical Processes

With Applications to Statistics

By: A. W. van der Vaart,Jon A. Wellner

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Weak Convergence and Empirical Processes

With Applications to Statistics

By: A. W. van der Vaart,Jon A. Wellner

This book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical processes in a form accessible to statisticians and probabilists. In Part 3, the authors cover a range of applications in statistics including rates of convergence of estimators; limit theorems for M− and Z−estimators; the bootstrap; the functional delta-method and semiparametric estimation. Most of the chapters conclude with “problems and complements.” Some of these are exercises to help the reader’s understanding of the material, whereas others are intended to supplement the text. This second edition includes many of the new developments in the field since publication of the first edition in 1996: Glivenko-Cantelli preservation theorems; new bounds on expectations of suprema of empirical processes; new bounds on covering numbers for various function classes; generic chaining; definitive versions of concentration bounds; and new applications in statistics including penalized M-estimation, the lasso, classification, and support vector machines. The approximately 200 additional pages also round out classical subjects, including chapters on weak convergence in Skorokhod space, on stable convergence, and on processes based on pseudo-observations.

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Page Count

693

Publisher

Springer Nature

Published Date

ISBN 10

3031290402

ISBN 13

9783031290404

Asymptotic Statistics

By: A. W. van der Vaart

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Asymptotic Statistics

By: A. W. van der Vaart

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N/A

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Solve jigsaw puzzle

Age

Page Count

470

Publisher

Cambridge University Press

Published Date

ISBN 10

0521784506

ISBN 13

9780521784504

Weak Convergence and Empirical Processes

With Applications to Statistics

By: A. W. van der Vaart,Jon A. Wellner

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Weak Convergence and Empirical Processes

With Applications to Statistics

By: A. W. van der Vaart,Jon A. Wellner

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Solve jigsaw puzzle

Age

Page Count

693

Publisher

Springer Nature

Published Date

ISBN 10

3031290402

ISBN 13

9783031290404

Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,A. W. van der Vaart

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Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,A. W. van der Vaart

Bayesian nonparametrics comes of age with this landmark text synthesizing theory, methodology and computation.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

671

Publisher

Cambridge University Press

Published Date

ISBN 10

0521878268

ISBN 13

9780521878265

Book's by AW van der Vaart

Asymptotic Statistics

Asymptotic Statistics

Fundamentals of Nonparametric Bayesian Inference

Fundamentals of Nonparametric Bayesian Inference

Weak Convergence and Empirical Processes

Weak Convergence and Empirical Processes

Asymptotic Statistics

Asymptotic Statistics

Weak Convergence and Empirical Processes

Weak Convergence and Empirical Processes

Fundamentals of Nonparametric Bayesian Inference

Fundamentals of Nonparametric Bayesian Inference

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