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Laplace transforms related to excursions of a one-dimensional diffusion
Authors
Pitman, J
Yor, M
Citation
J. Pitman et M. Yor, Laplace transforms related to excursions of a one-dimensional diffusion, BERNOULLI, 5(2), 1999, pp. 249-255
Citations number
15
Categorie Soggetti
Mathematics
Journal title
BERNOULLI
ISSN journal
13507265 →
ACNP
Volume
5
Issue
2
Year of publication
1999
Pages
249 - 255
Database
ISI
SICI code
1350-7265(199904)5:2<249:LTRTEO>2.0.ZU;2-T
Abstract
Various known expressions in terms of hyperbolic functions for the Laplace transforms of random times related to one-dimensional Brownian motion are d erived in a unified way by excursion theory and extended to one-dimensional diffusions.