XXXIII: 20, 388-394, LNM 1709 (1999)
PITMAN, James W.
The distribution of local times of a Brownian bridge (
Brownian motion)
Several useful identities for the one-dimensional marginals of local times of Brownian bridges are derived. This is a variation and extension on the well-known joint law of the maximum and the value of Brownian motion at a given time
Comment: Useful references are Borodin,
Russian Math. Surveys (1989) and the book
Brownian motion and stochastic calculus by Karatzas-Shrieve (Springer, 1991)
Keywords: Local times,
Brownian bridgeNature: Original
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