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The Resource Random probability measures on Polish spaces, Hans Crauel, (electronic book)

Random probability measures on Polish spaces, Hans Crauel, (electronic book)

Label
Random probability measures on Polish spaces
Title
Random probability measures on Polish spaces
Statement of responsibility
Hans Crauel
Creator
Subject
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 law-which 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
Member of
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)
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 113-115) 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)
Publication
Bibliography note
Includes bibliographical references (p. 113-115) 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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