Strong Law of Large Numbers for Random Sets in Banach spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915431066894336 |
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| author | Kadets, V. Zavarzina, O. |
| author_facet | Kadets, V. Zavarzina, O. |
| contents | The Strong Law of Large Numbers (SLLN) for random variables or random vectors with different mathematical expectations easily reduces by means of shifts to SLLN for random variables or random vectors whose mathematical expectations are equal to zero. The situation changes for random sets, where shifts cannot reduce sets of more than one point to the set $\{0\}$. We study effects that appear because of this difference. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04832 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong Law of Large Numbers for Random Sets in Banach spaces Kadets, V. Zavarzina, O. Functional Analysis Probability 46B09, 46B26, 46G10, 47H04, 60F15 The Strong Law of Large Numbers (SLLN) for random variables or random vectors with different mathematical expectations easily reduces by means of shifts to SLLN for random variables or random vectors whose mathematical expectations are equal to zero. The situation changes for random sets, where shifts cannot reduce sets of more than one point to the set $\{0\}$. We study effects that appear because of this difference. |
| title | Strong Law of Large Numbers for Random Sets in Banach spaces |
| topic | Functional Analysis Probability 46B09, 46B26, 46G10, 47H04, 60F15 |
| url | https://arxiv.org/abs/2410.04832 |