Discrete probability spaces revisited
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929702507118592 |
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| author | Döbler, Christian |
| author_facet | Döbler, Christian |
| contents | We give an elementary proof of the known fact that every probability measure, defined on an arbitrary $σ$-field on a countable sample space $Ω$, may in fact be extended to a probability measure on the power set of $Ω$. This result is further discussed and motivated in the context of discrete random variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05083 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete probability spaces revisited Döbler, Christian Probability We give an elementary proof of the known fact that every probability measure, defined on an arbitrary $σ$-field on a countable sample space $Ω$, may in fact be extended to a probability measure on the power set of $Ω$. This result is further discussed and motivated in the context of discrete random variables. |
| title | Discrete probability spaces revisited |
| topic | Probability |
| url | https://arxiv.org/abs/2502.05083 |