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 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
- 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 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
- 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. 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)
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Random-probability-measures-on-Polish-spaces/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/Random-probability-measures-on-Polish-spaces/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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Random probability measures on Polish spaces, Hans Crauel, (electronic book)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Random-probability-measures-on-Polish-spaces/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/Random-probability-measures-on-Polish-spaces/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>
