| Record ID | marc_columbia/Columbia-extract-20221130-031.mrc:30252458:4127 |
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LEADER: 04127cam a22006854a 4500
001 15067581
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006 m o d
007 cr cnu---unuuu
008 051222s2002 enk ob 001 0 eng d
035 $a(OCoLC)ocm62734116
035 $a(NNC)15067581
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019 $a276790872$a814300928$a824537939$a880330251
020 $a0203219112$q(electronic bk.)
020 $a9780203219119$q(electronic bk.)
020 $a1280256109
020 $a9781280256103
020 $z0415273870$q(cloth)
035 $a(OCoLC)62734116$z(OCoLC)276790872$z(OCoLC)814300928$z(OCoLC)824537939$z(OCoLC)880330251
050 4 $aQA611.28$b.C73 2002eb
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084 $aO189. 11$2clc
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049 $aZCUA
100 1 $aCrauel, H.$q(Hans),$d1956-
245 10 $aRandom probability measures on Polish spaces /$cHans Crauel.
260 $aLondon ;$aNew York :$bTaylor & Francis,$c2002.
300 $a1 online resource (xvi, 118 pages)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aStochastics monographs ;$vv. 11
504 $aIncludes bibliographical references (pages 113-115) and index.
588 0 $aPrint version record.
520 $aIn 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.
505 0 $a1. 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.
650 0 $aPolish spaces (Mathematics)
650 0 $aRandom sets.
650 0 $aStochastic processes.
650 2 $aStochastic Processes
650 6 $aEspaces polonais (Mathématiques)
650 6 $aEnsembles aléatoires.
650 6 $aProcessus stochastiques.
650 7 $aMATHEMATICS$xProbability & Statistics$xGeneral.$2bisacsh
650 07 $aPolish spaces (Mathematics)$2cct
650 07 $aRandom sets.$2cct
650 07 $aStochastic processes.$2cct
650 7 $aPolish spaces (Mathematics)$2fast$0(OCoLC)fst01069157
650 7 $aRandom sets.$2fast$0(OCoLC)fst01089811
650 7 $aStochastic processes.$2fast$0(OCoLC)fst01133519
655 0 $aElectronic books.
655 4 $aElectronic books.
776 08 $iPrint version:$aCrauel, H. (Hans), 1956-$tRandom probability measures on Polish spaces.$dLondon ; New York : Taylor & Francis, 2002$z0415273870$w(DLC) 2005299733$w(OCoLC)49738427
830 0 $aStochastics monographs ;$vv. 11.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15067581$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS