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Joint distributions of the the infimum, supremum, and end of a Brownian motion with jumps

✍ Scribed by A. N. Borodin

Book ID
118804231
Publisher
Springer US
Year
2013
Tongue
English
Weight
268 KB
Volume
188
Category
Article
ISSN
1573-8795

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The joint distribution of the hitting ti
The joint distribution of the hitting time and place to a sphere or spherical shell for Brownian motion with drift
✍ Chuancun Yin πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 95 KB

Let Xt be a standard d-dimensional Brownian motion with drift c started at a ΓΏxed X0, and let T be the hitting time for a sphere or concentric spherical shell. By using an appropriate martingale, a Laplace-Gegenbauer transform of the joint distribution of T and XT is determined.