The Resource Random probability measures on Polish spaces, Hans Crauel, (electronic book)
Random probability measures on Polish spaces, Hans Crauel, (electronic book)
Resource Information
The item Random probability measures on Polish spaces, Hans Crauel, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Random probability measures on Polish spaces, Hans Crauel, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way. As a special feature, no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra, are made. One of the main results is a direct proof of the random analog of the Prohorov theorem, which is obtained without invoking an embedding of the Polish space into a compact space. Further, the narrow topology is examined and other natural topologies on random measures are compared. In addition, it is shown that the topology of convergence in lawwhich relates to the "statistical equilibrium"And the narrow topology are incompatible. A brief section on random sets on Polish spaces provides the fundamentals of this theory. In a final section, the results are applied to random dynamical systems to obtain existence results for invariant measures on compact random sets, as well as uniformity results in the individual ergodic theorem. This clear and incisive volume is useful for graduate students and researchers in mathematical analysis and its applications
 Language
 eng
 Extent
 xvi, 118 p.
 Contents

 1. Notations and some technical results
 2. Random sets
 3. Random probability measures and the narrow topology
 4. Prohorov theory for random probability measures
 5. Further topologies on random measures
 6. Invariant measures and some ergodic theory for random dynamical systems
 Isbn
 9780415273879
 Label
 Random probability measures on Polish spaces
 Title
 Random probability measures on Polish spaces
 Statement of responsibility
 Hans Crauel
 Language
 eng
 Summary
 In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way. As a special feature, no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra, are made. One of the main results is a direct proof of the random analog of the Prohorov theorem, which is obtained without invoking an embedding of the Polish space into a compact space. Further, the narrow topology is examined and other natural topologies on random measures are compared. In addition, it is shown that the topology of convergence in lawwhich relates to the "statistical equilibrium"And the narrow topology are incompatible. A brief section on random sets on Polish spaces provides the fundamentals of this theory. In a final section, the results are applied to random dynamical systems to obtain existence results for invariant measures on compact random sets, as well as uniformity results in the individual ergodic theorem. This clear and incisive volume is useful for graduate students and researchers in mathematical analysis and its applications
 Cataloging source
 FlBoTFG
 http://library.link/vocab/creatorDate
 1956
 http://library.link/vocab/creatorName
 Crauel, H.
 Index
 index present
 LC call number
 QA611.28
 LC item number
 .C73 2002eb
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Stochastics monographs
 Series volume
 11
 http://library.link/vocab/subjectName

 Polish spaces (Mathematics)
 Random sets
 Stochastic processes
 Label
 Random probability measures on Polish spaces, Hans Crauel, (electronic book)
 Bibliography note
 Includes bibliographical references (p. 113115) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Notations and some technical results  2. Random sets  3. Random probability measures and the narrow topology  4. Prohorov theory for random probability measures  5. Further topologies on random measures  6. Invariant measures and some ergodic theory for random dynamical systems
 Control code
 9780203219119
 Dimensions
 24 cm.
 Extent
 xvi, 118 p.
 Form of item
 electronic
 Isbn
 9780415273879
 Lccn
 2005299733
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic resource.
 Specific material designation
 remote
 Label
 Random probability measures on Polish spaces, Hans Crauel, (electronic book)
 Bibliography note
 Includes bibliographical references (p. 113115) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Notations and some technical results  2. Random sets  3. Random probability measures and the narrow topology  4. Prohorov theory for random probability measures  5. Further topologies on random measures  6. Invariant measures and some ergodic theory for random dynamical systems
 Control code
 9780203219119
 Dimensions
 24 cm.
 Extent
 xvi, 118 p.
 Form of item
 electronic
 Isbn
 9780415273879
 Lccn
 2005299733
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic resource.
 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/RandomprobabilitymeasuresonPolishspaces/t5p9VYJjBXw/" 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/RandomprobabilitymeasuresonPolishspaces/t5p9VYJjBXw/">Random probability measures on Polish spaces, Hans Crauel, (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/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>