On exchangeability and Hausdorff moment problems over k-dimensional simplexes
Two classical problems, the Hausdorff moment problem and de Finetti's representation theorem for exchangeable random variables, are considered. We generalize these problems to a g-tuple of k-dimensional simplexes and an infinite sequence of g-fold partially exchangeable random variables in {0,1...
| Main Author: | |
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| Format: | Journal Article |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/71604 |
| _version_ | 1848762524281864192 |
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| author | Huang, Karl |
| author_facet | Huang, Karl |
| author_sort | Huang, Karl |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Two classical problems, the Hausdorff moment problem and de Finetti's representation theorem for exchangeable random variables, are considered. We generalize these problems to a g-tuple of k-dimensional simplexes and an infinite sequence of g-fold partially exchangeable random variables in {0,1,...,k}, respectively. The equivalence between them is then formalized and proven. |
| first_indexed | 2025-11-14T10:48:56Z |
| format | Journal Article |
| id | curtin-20.500.11937-71604 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:48:56Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-716042018-12-13T09:10:43Z On exchangeability and Hausdorff moment problems over k-dimensional simplexes Huang, Karl Two classical problems, the Hausdorff moment problem and de Finetti's representation theorem for exchangeable random variables, are considered. We generalize these problems to a g-tuple of k-dimensional simplexes and an infinite sequence of g-fold partially exchangeable random variables in {0,1,...,k}, respectively. The equivalence between them is then formalized and proven. 2014 Journal Article http://hdl.handle.net/20.500.11937/71604 restricted |
| spellingShingle | Huang, Karl On exchangeability and Hausdorff moment problems over k-dimensional simplexes |
| title | On exchangeability and Hausdorff moment problems over k-dimensional simplexes |
| title_full | On exchangeability and Hausdorff moment problems over k-dimensional simplexes |
| title_fullStr | On exchangeability and Hausdorff moment problems over k-dimensional simplexes |
| title_full_unstemmed | On exchangeability and Hausdorff moment problems over k-dimensional simplexes |
| title_short | On exchangeability and Hausdorff moment problems over k-dimensional simplexes |
| title_sort | on exchangeability and hausdorff moment problems over k-dimensional simplexes |
| url | http://hdl.handle.net/20.500.11937/71604 |