The Resource Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book)
Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book)
Resource Information
The item Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 "This is the first comprehensive treatment of the three basic symmetries of probability theory  contractability, exchangeability, and rotatability  defined as invariance in distribution under contractions, permutations, and rotations. Most chapters require only some basic, graduate level probability theory, and should be accessible to any serious researchers and graduate students in probability and statistics. Parts of the book may also be of interest to pure and applied mathematicians in other areas. The exposition is formally selfcontained, with detailed references provided for any deeper facts from real analysis or probability used in the book."Jacket
 Language
 eng
 Extent
 xi, 510 p.
 Contents

 The Basic Symmetries
 Conditioning and Martingales
 Convergence and Approximation
 Predictable Sampling and Mapping
 Decoupling Identities
 Homogeneity and Reflections
 Symmetric Arrays
 Multivariate Rotations
 Symmetric Measures in the Plane
 Isbn
 9780387288611
 Label
 Probabilistic symmetries and invariance principles
 Title
 Probabilistic symmetries and invariance principles
 Statement of responsibility
 Olav Kallenberg
 Language
 eng
 Summary
 "This is the first comprehensive treatment of the three basic symmetries of probability theory  contractability, exchangeability, and rotatability  defined as invariance in distribution under contractions, permutations, and rotations. Most chapters require only some basic, graduate level probability theory, and should be accessible to any serious researchers and graduate students in probability and statistics. Parts of the book may also be of interest to pure and applied mathematicians in other areas. The exposition is formally selfcontained, with detailed references provided for any deeper facts from real analysis or probability used in the book."Jacket
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Kallenberg, Olav
 Dewey number
 519.2
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Probabilities
 Symmetry (Physics)
 Probability Theory and Stochastic Processes
 Statistical Theory and Methods
 Target audience
 specialized
 Label
 Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book)
 Bibliography note
 Includes bibliographical references (p. 477495)and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 The Basic Symmetries  Conditioning and Martingales  Convergence and Approximation  Predictable Sampling and Mapping  Decoupling Identities  Homogeneity and Reflections  Symmetric Arrays  Multivariate Rotations  Symmetric Measures in the Plane
 Control code
 SPR209832608
 Dimensions
 unknown
 Extent
 xi, 510 p.
 Form of item
 online
 Isbn
 9780387288611
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Specific material designation
 remote
 Label
 Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book)
 Bibliography note
 Includes bibliographical references (p. 477495)and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 The Basic Symmetries  Conditioning and Martingales  Convergence and Approximation  Predictable Sampling and Mapping  Decoupling Identities  Homogeneity and Reflections  Symmetric Arrays  Multivariate Rotations  Symmetric Measures in the Plane
 Control code
 SPR209832608
 Dimensions
 unknown
 Extent
 xi, 510 p.
 Form of item
 online
 Isbn
 9780387288611
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Probabilisticsymmetriesandinvariance/XFL_B1Tk6ds/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Probabilisticsymmetriesandinvariance/XFL_B1Tk6ds/">Probabilistic symmetries and invariance principles, Olav Kallenberg, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>