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Weak Convergence and Empirical Processes: With Applications to Statistics

Weak Convergence and Empirical Processes: With Applications to Statistics

Hardcover

Series: Springer Statistics

Probability & Statistics

ISBN10: 3031290380
ISBN13: 9783031290381
Publisher: Springer
Published: Jul 12 2023
Pages: 679
Weight: 2.53
Height: 1.50 Width: 6.14 Depth: 9.21
Language: English
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.

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Probability & Statistics