Hitting times for gaussian processes

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Abstract

We establish a general formula for the Laplace transform of the hitting times of a Gaussian process. Some consequences are derived, and particular cases like the fractional Brownian motion are discussed. © Institute of Mathematical Statistics, 2008.

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Decreusefond, L., & Nualart, D. (2008). Hitting times for gaussian processes. Annals of Probability, 36(1), 319–330. https://doi.org/10.1214/009117907000000132

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