On the local time density of the reflecting Brownian bridge

On the local time density of the reflecting Brownian bridge

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Article ID: iaor20022072
Country: United States
Volume: 13
Issue: 2
Start Page Number: 125
End Page Number: 136
Publication Date: Apr 2000
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: ,
Keywords: markov processes, numerical analysis
Abstract:

Expressions for the multi-dimensional densities of Brownian bridge local time are derived by two different methods: A direct method based on Kac's formula for Brownian functionals and an indirect one based on a limit theorem for strata of random mappings.

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