Optimizing stakes in simultaneous bets

Journal article (2023)

Authors

R.J. Fokkink Applied Probability - EEMCS
L.E. Meester Applied Probability - EEMCS
Christos Pelekis The American College of Greece
Research Group
Applied Probability (EEMCS) (TU Delft)
Copyright: © 2023 R.J. Fokkink, L.E. Meester, Christos Pelekis
DOI: https://doi.org/10.30757/ALEA.v20-07
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Published Date

2023

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

Abstract

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

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