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Weak Convergence and Empirical Processes: With Applications to Statistics (Springer Series in Statistics)
 
 
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Weak Convergence and Empirical Processes: With Applications to Statistics (Springer Series in Statistics) [Hardcover]

Aad van der Vaart (Author), Jon Wellner (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

March 14, 1996 0387946403 978-0387946405 Corrected

This book explores weak convergence theory and empirical processes and their applications to many applications in statistics. Part one reviews stochastic convergence in its various forms. Part two offers the theory of empirical processes in a form accessible to statisticians and probabilists. Part three covers a range of topics demonstrating the applicability of the theory to key questions such as measures of goodness of fit and the bootstrap.


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Weak Convergence and Empirical Processes: With Applications to Statistics (Springer Series in Statistics) + Asymptotic Statistics (Cambridge Series in Statistical and Probabilistic Mathematics) + Asymptotic Theory of Statistics and Probability (Springer Texts in Statistics)
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Editorial Reviews

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"...succeeds and complements Billingsleys classic work and will become the standard source of study and reference for students and researchers...." The Statistician

Product Details

  • Hardcover: 532 pages
  • Publisher: Springer; Corrected edition (March 14, 1996)
  • Language: English
  • ISBN-10: 0387946403
  • ISBN-13: 978-0387946405
  • Product Dimensions: 9.2 x 6.3 x 1.4 inches
  • Shipping Weight: 2 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #192,151 in Books (See Top 100 in Books)

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4 of 16 people found the following review helpful:
5.0 out of 5 stars The best book on empirical processes., March 26, 2000
This review is from: Weak Convergence and Empirical Processes: With Applications to Statistics (Springer Series in Statistics) (Hardcover)
It's a beautifully written book. Many useful techniques with examples of application. Great reference book. Must have in your library.
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Inside This Book (learn more)
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. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
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): (learn more)
Permanence of the Donsker Property, Combination of Lemma, The Two-Sample Problem, Use Lemma, Yni Qni
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