First Sentence:
The first goal in this book is to give an exposition of the modern weak convergence theory suitable for the study of empirical processes.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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uniform entropy numbers, multiplier central limit theorems, uniform entropy condition, asymptotic measurability, bracketing integral, measurable majorant, bounded semimetric space, continuous sample paths with respect, sequential empirical process, weak second moment, qth partition, asymptotic tightness, measurable cover function, minimal measurable cover, tight brownian bridge, pointwise separable, marginal convergence, outer probability, asymptotic equicontinuity, bootstrap empirical process, portmanteau theorem, bracketing numbers, empirical process indexed, bracketing entropy, uniform central limit theorem
Key Phrases - Capitalized Phrases (CAPs):
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Permanence of the Donsker Property, Combination of Lemma, The Two-Sample Problem, Use Lemma, Yni Qni
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