Papers › Online minimum search for a Brownian bridge

Online minimum search for a Brownian bridge

28 Jul 2024arXiv:2407.19490links table onlyarchive 2025-07-28

Erik Wu, Shannon Starr

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In this short note we consider the computational problem of numerically finding the minimum and arg-min of a Brownian bridge. Using well-known results by Pitman, Tanaka, Vervaat and Williams we are able to show that the bisection method has both a small error and a small probability of failure.

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