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Bibliographic Detail
Publisher
Birkhauser
Publication date
September 1, 2000
Pages
510
Binding
Hardcover
Book category
Adult Non-Fiction
ISBN-13
9780817641603
ISBN-10
0817641602
Dimensions
1 by 6 by 9.25 in.
Weight
1 lbs.
Original list price
$289.00
Summaries and Reviews
(view table of contents)
Amazon.com description: Product Description: 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.
Editions
Hardcover
The price comparison is for this edition
from Birkhauser (September 1, 2000)
9780817641603 | details & prices | 510 pages | 6.00 × 9.25 × 1.00 in. | 1.95 lbs | List price $289.00
About: 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.
About: 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.
Paperback
With Evarist Gin (other contributor) |
from Birkhauser (October 16, 2012)
9781461271116 | details & prices | 520 pages | List price $229.00
This edition also contains High Dimensional Probability II
About: 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.
This edition also contains High Dimensional Probability II
About: 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.
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