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

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Additional Empirical Process Results Because the contents of this chapter are somewhat specialized, some readers may want to skip it the first time they read the book. Although some of the results given herein will be used in later chapters, the results of this chapter are not really necessary for a philosophical understanding of the

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The Functional Delta Methodintroduced in this section and also defined more precisely in Section 6.3. The key result of Section 2.2.4 is that the delta method and its bootstrap counterpart work provided the map φ is Hadamard differentiable tangentially to a suitable set D.. We first present in Section 12.1 clarifications and

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M-Estimatorsizing objective functions are trivially also M-estimators after taking the negative of the objective function. In some ways, M-estimators are more basic than Z-estimators since Z-estimators can always be expressed as M-estimators. The reverse is not true, however, since there are M-estimators that c

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Introduction to Semiparametric Inferencete research in the area. Chapter 17 presents additional mathematical background, beyond that provided in Chapter 6, which enables the technical development of efficiency calculations and related mathematical tools needed for the remaining chapters. The topics covered include projections, Hilbert spa

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Semiparametric Models and Efficiencyld be a good idea at this point for the reader to recall and briefly review the content of that section. Many of the results in this chapter are quite general and are not restricted to semiparametric models per se.

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Efficient Inference for Finite-Dimensional Parametersnite-dimensional set. The parameter of interest for this chapter is .(.) = ...We first present the promised proof of Theorem 3.1. It may at first appear that Theorem 3.1 can only be used when the form of the efficient score equation can be written down explicitly. However, even in those settings whe

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ation more or less known to the market. In any case, it is against this background that Post Denmark, Finland Post, Norway Post, and Sweden Post (hereinafter collectively Parties) decided to join forces by creating a joint venture in the express delivery market temporarily called Vasagatan 11 Intern

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ation more or less known to the market. In any case, it is against this background that Post Denmark, Finland Post, Norway Post, and Sweden Post (hereinafter collectively Parties) decided to join forces by creating a joint venture in the express delivery market temporarily called Vasagatan 11 Intern