Weak Convergence and Empirical Processes: With Applications...

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Weak Convergence and Empirical...

Weak Convergence and Empirical Processes: With Applications to Statistics

Name: Weak Convergence and Empirical Processes: With Applications to Statistics
ISBN: 9783031290381

A.W. van der Vaart • Jon A. Wellner

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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.

Έτος:

2023

Γλώσσα:

english

Σελίδες:

693

ISBN 10:

3031290380

ISBN 13:

9783031290381

Αρχείο:

PDF, 8.14 MB