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Progress in Probability

High Dimensional Probability II

Editors: Giné, Evarist, Mason, David M., Wellner, Jon A. (Eds.)

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About this book

High dimensional probability, in the sense that encompasses the topics rep­ resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es­ sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em­ pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba­ bility and empirical process theory were enriched by the development of powerful results in strong approximations.

Table of contents (32 chapters)

Table of contents (32 chapters)

Buy this book

eBook 106,99 €
price for Spain (gross)
  • ISBN 978-1-4612-1358-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
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Hardcover 166,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4160-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
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  • ISBN 978-1-4612-7111-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
High Dimensional Probability II
Editors
  • Evarist Giné
  • David M. Mason
  • Jon A. Wellner
Series Title
Progress in Probability
Series Volume
47
Copyright
2000
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1358-1
DOI
10.1007/978-1-4612-1358-1
Hardcover ISBN
978-0-8176-4160-3
Softcover ISBN
978-1-4612-7111-6
Series ISSN
1050-6977
Edition Number
1
Number of Pages
XI, 512
Topics

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