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

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畏縮

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

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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.

態(tài)度暖昧

委托

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.

平淡而無味

Fresco

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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