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Optimizing stakes in simultaneous bets
- 1.0582800 - MÚ 2024 RIV BR eng J - Journal Article
Fokkink, R. - Meester, L. - Pelekis, Christos
Optimizing stakes in simultaneous bets.
Alea (Rio de Janeiro). Roč. 20, č. 1 (2023), s. 153-165. ISSN 1980-0436
R&D Projects: GA ČR(CZ) GJ18-01472Y
Institutional support: RVO:67985840
Keywords : bold play * intersecting family * small deviations * stochastic inequality
OECD category: Pure mathematics
Impact factor: 0.7, year: 2022
Method of publishing: Open access
https://doi.org/10.30757/ALEA.v20-07
We want to find the convex combination S of iid Bernoulli random variables that maximizes P(S ≥ t) for a given threshold t. Endre Csóka conjectured that such an S is an average if t ≥ p, where p is the success probability of the Bernoulli random variables. We prove this conjecture for a range of p and t.
Permanent Link: https://hdl.handle.net/11104/0350850
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