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arXiv · 2512.09161

Constructive Proofs of Generalized Boole--Frechet Bounds: A Dynamic Programming Approach

Kizito Salako
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Abstract

Extensions of the Boole--Frechet inequalities give sharp bounds for the probabilities of compound events, particularly when only the probabilities of atomic events (that make up the compound events) are known. We present a constructive approach to obtaining generalized Boole--Frechet bounds using dynamic programming.

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Kizito Salako. 2025-12-09. Constructive Proofs of Generalized Boole--Frechet Bounds: A Dynamic Programming Approach. https://arxiv.org/abs/2512.09161

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