Quasi-sure analysis, aggregation and dual representations of sublinear expectations in general spaces
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1. | Title | Title of document | Quasi-sure analysis, aggregation and dual representations of sublinear expectations in general spaces |
2. | Creator | Author's name, affiliation, country | Samuel Cohen; University of Oxford; United Kingdom |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | sublinear expectation; capacity; aggregation; dual representation |
3. | Subject | Subject classification | 60A10; 60A86; 91B06 |
4. | Description | Abstract | We consider coherent sublinear expectations on a measurable space, without assuming the existence of a dominating probability measure. By considering a decomposition of the space in terms of the supports of the measures representing our sublinear expectation, we give a simple construction, in a quasi-sure sense, of the (linear) conditional expectations, and hence give a representation for the conditional sublinear expectation. We also show an aggregation property holds, and give an equivalence between consistency and a pasting property of measures. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2012-08-06 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/2224 |
10. | Identifier | Digital Object Identifier | 10.1214/EJP.v17-2224 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 17 |
12. | Language | English=en | en |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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