Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences
We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable sequences, and de Finetti’s theorem.
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2021/3637837 |
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| _version_ | 1850176062063902720 |
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| author | Stefan Tappe |
| author_facet | Stefan Tappe |
| author_sort | Stefan Tappe |
| collection | DOAJ |
| description | We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable sequences, and de Finetti’s theorem. |
| format | Article |
| id | doaj-art-b9f7e4de96e14db6bcaec8fa3bd82cd6 |
| institution | OA Journals |
| issn | 1687-9538 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-b9f7e4de96e14db6bcaec8fa3bd82cd62025-08-20T02:19:19ZengWileyJournal of Probability and Statistics1687-95382021-01-01202110.1155/2021/3637837Permutation Invariant Strong Law of Large Numbers for Exchangeable SequencesStefan Tappe0Albert Ludwig University of FreiburgWe provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable sequences, and de Finetti’s theorem.http://dx.doi.org/10.1155/2021/3637837 |
| spellingShingle | Stefan Tappe Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences Journal of Probability and Statistics |
| title | Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences |
| title_full | Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences |
| title_fullStr | Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences |
| title_full_unstemmed | Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences |
| title_short | Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences |
| title_sort | permutation invariant strong law of large numbers for exchangeable sequences |
| url | http://dx.doi.org/10.1155/2021/3637837 |
| work_keys_str_mv | AT stefantappe permutationinvariantstronglawoflargenumbersforexchangeablesequences |