Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2508.07316 |
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Sommario:
- Let X1, ..., Xn be arbitrary non-negative independent random variables with respective expected values $μ_{i}$ at most one. We sketch but do not prove an equivalent conjecture to Feige's Conjecture $\mathbb{P} \left( \sum_{i=1}^{n} X_{i} < μ+ 1 \right) \geq \exp \left(-1 \right)$, where $μ$ is the expected value of the sum of the random variables. We show by a simple example how this inequality finds use in mathematical finance.