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Author : A Weron
Publisher : Unknown
Page : 344 pages
File Size : 42,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662188090
Author : A. Weron
Publisher : Unknown
Page : 324 pages
File Size : 48,6 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:757233750
Author : A. Weron
Publisher : Springer
Page : 342 pages
File Size : 47,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540383505
Author : Stamatis Cambanis,Aleksander Weron
Publisher : Springer
Page : 435 pages
File Size : 52,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540482444
Author : A Weron
Publisher : Unknown
Page : 292 pages
File Size : 45,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662192349
Author : Stamatis Cambanis,Aleksander Weron
Publisher : Unknown
Page : 440 pages
File Size : 50,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662177382
Author : D. Szynal,A Weron
Publisher : Unknown
Page : 388 pages
File Size : 47,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662184869
Author : A. Weron
Publisher : Springer
Page : 274 pages
File Size : 40,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540358145
Author : Stamatis Cambanis,Aleksander Weron
Publisher : Unknown
Page : 0 pages
File Size : 49,5 Mb
Release : 1989
Category : Electronic
ISBN : OCLC:859792640
Author : Aleksander Weron
Publisher : Unknown
Page : 0 pages
File Size : 55,9 Mb
Release : 1980
Category : Probabilities
ISBN : 0387102531
Author : D Szynal,A. Weron
Publisher : Springer
Page : 381 pages
File Size : 46,5 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540389392
Author : Michel Ledoux,Michel Talagrand
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783642202124
Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
Author : Wilfried Hazod,Eberhard Siebert
Publisher : Springer Science & Business Media
Page : 626 pages
File Size : 40,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401730617
Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on groups were developed during recent decades. It turns out that the existence of suitable limit distributions has a strong impact on the structure of both the normalizing automorphisms and the underlying group. Indeed, investigations in limit laws led to contractable groups and - at least within the class of connected groups - to homogeneous groups, in particular to groups that are topologically isomorphic to a vector space. Moreover, it has been shown that (semi)-stable measures on groups have a vector space counterpart and vice versa. The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i.i.d. random variables on groups and on finite-dimensional vector spaces from a common point of view. This will also shed a new light on the classical situation. Chapter 1 provides an introduction to stability problems on vector spaces. Chapter II is concerned with parallel investigations for homogeneous groups and in Chapter III the situation beyond homogeneous Lie groups is treated. Throughout, emphasis is laid on the description of features common to the group- and vector space situation. Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups.
Author : A. Beck
Publisher : Springer
Page : 208 pages
File Size : 49,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540353416
Author : Evarist Giné,David M. Mason,Jon A. Wellner
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213581
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.