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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2001.11727 |
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| _version_ | 1866917094100041728 |
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| author | Tappe, Stefan |
| author_facet | Tappe, Stefan |
| contents | The von Weizsäcker theorem states that every sequence of nonnegative random variables has a subsequence which is Cesàro convergent to a nonnegative random variable which might be infinite. The goal of this note is to provide a description of the set where the limit is finite. For this purpose, we use a decomposition result due to Brannath and Schachermayer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_11727 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A note on the von Weizsäcker theorem Tappe, Stefan Probability The von Weizsäcker theorem states that every sequence of nonnegative random variables has a subsequence which is Cesàro convergent to a nonnegative random variable which might be infinite. The goal of this note is to provide a description of the set where the limit is finite. For this purpose, we use a decomposition result due to Brannath and Schachermayer. |
| title | A note on the von Weizsäcker theorem |
| topic | Probability |
| url | https://arxiv.org/abs/2001.11727 |