Barbie, Martin and Gupta, Abhishek ORCID: 0000-0003-1117-325X (2014). The topology of information on the space of probability measures over Polish spaces. J. Math. Econ., 52. S. 98 - 112. LAUSANNE: ELSEVIER SCIENCE SA. ISSN 0304-4068
Full text not available from this repository.Abstract
We study here the topology of information on the space of probability measures over Polish spaces that was defined in Hellwig (1996). We show that under this topology, a convergent sequence of probability measures satisfying a conditional independence property converges to a measure that also satisfies the same conditional independence property. This also corrects the proof of a claim in Hellwig (1996, Lemma 4). Additionally, we determine sufficient conditions on the Polish spaces and the topology over measure spaces under which a convergent sequence of probability measures is also convergent in the topology of information. (C) 2014 Elsevier B.V. All rights reserved.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-438802 | ||||||||||||
DOI: | 10.1016/j.jmateco.2014.04.003 | ||||||||||||
Journal or Publication Title: | J. Math. Econ. | ||||||||||||
Volume: | 52 | ||||||||||||
Page Range: | S. 98 - 112 | ||||||||||||
Date: | 2014 | ||||||||||||
Publisher: | ELSEVIER SCIENCE SA | ||||||||||||
Place of Publication: | LAUSANNE | ||||||||||||
ISSN: | 0304-4068 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/43880 |
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