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Titlebook: Introduction to Empirical Processes and Semiparametric Inference; Michael R. Kosorok Book 2008 Springer-Verlag New York 2008 Asymptotic st

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发表于 2025-3-21 19:33:02 | 显示全部楼层 |阅读模式
书目名称Introduction to Empirical Processes and Semiparametric Inference
编辑Michael R. Kosorok
视频video
概述A self-contained, linear, and unified introduction to empirical processes and semiparametric inference.Homework problems are also included at the end of each chapter.Includes supplementary material:
丛书名称Springer Series in Statistics
图书封面Titlebook: Introduction to Empirical Processes and Semiparametric Inference;  Michael R. Kosorok Book 2008 Springer-Verlag New York 2008 Asymptotic st
描述The goal of this book is to introduce statisticians, and other researchers with a background in mathematical statistics, to empirical processes and semiparametric inference. These powerful research techniques are surpr- ingly useful for studying large sample properties of statistical estimates from realistically complex models as well as for developing new and - proved approaches to statistical inference. This book is more of a textbook than a research monograph, although a number of new results are presented. The level of the book is more - troductory than the seminal work of van der Vaart and Wellner (1996). In fact, another purpose of this work is to help readers prepare for the mathematically advanced van der Vaart and Wellner text, as well as for the semiparametric inference work of Bickel, Klaassen, Ritov and We- ner (1997). These two books, along with Pollard (1990) and Chapters 19 and 25 of van der Vaart (1998), formulate a very complete and successful elucidation of modern empirical process methods. The present book owes much by the way of inspiration, concept, and notation to these previous works.What is perhaps new is the gradual—yetrigorous—anduni?ed way this book intro
出版日期Book 2008
关键词Asymptotic statistics; Bootstrap theory; Bootstrapping; Distribution theory; Empirical Process; Estimator
版次1
doihttps://doi.org/10.1007/978-0-387-74978-5
isbn_softcover978-1-4419-2578-7
isbn_ebook978-0-387-74978-5Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer-Verlag New York 2008
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发表于 2025-3-21 23:53:54 | 显示全部楼层
Preliminaries for Semiparametric Inferencepter 12. Concepts discussed include adjoints of operators and dual spaces. The background in this chapter provides the basic framework for a “semiparametric efficiency calculus” that is used for important computations in semiparametric inference research. The development of this calculus will be the main goal of the next several chapters.
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0172-7397 t the end of each chapter.Includes supplementary material: The goal of this book is to introduce statisticians, and other researchers with a background in mathematical statistics, to empirical processes and semiparametric inference. These powerful research techniques are surpr- ingly useful for stud
发表于 2025-3-22 09:14:22 | 显示全部楼层
Bootstrapping Empirical Processess will be deferred to later chapters where we discuss the functional delta method, Z-estimation and M-estimation. We do, however, present one specialized result for parametric Z-estimators in Section 3 of this chapter as a practical illustration of bootstrap techniques.
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Preliminaries for Empirical Processestions, outer modes of convergence will be the primary approach for stochastic convergence throughout this book. Linear operators and functional derivatives also play a major role in empirical process methods and are key tools for the functional delta method and Z-estimator theory discussed in Chapters 12 and 13.
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Entropy Calculationsresults play a role in the asymptotic analysis of a number of statistical applications, including confidence bands for kernel density estimation (eg., Bickel and Rosenblatt, 1973) and certain hypothesis tests for multimodality (Polonik, 1995).
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