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

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Case Studies Inical aspects which involve concepts introduced later in the book will be glossed over to avoid getting bogged down with details. The main objective of this chapter is to initiate an appreciation for what empirical processes and efficiency calculations can accomplish.

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Preliminaries for Empirical Processesucial since they provide the descriptive language by which the most important results about stochastic processes are derived and expressed. Outer expectations, or, more correctly, outer integrals are key to defining and utilizing outer modes of convergence for quantities which are not measurable. Si

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Bootstrapping Empirical Processesbootstrapped estimators since most estimators can be expressed as functionals of empirical processes. Much of the bootstrap results for such estimators will be deferred to later chapters where we discuss the functional delta method, Z-estimation and M-estimation. We do, however, present one speciali