Penalisations of Brownian motion with its maximum and minimum processes as weak forms of Skorokhod embedding
We develop a Brownian penalisation procedure related to weight processes (Ft) of the type: Ft := f(It, St) where f is a bounded function with compact support and St (resp. It) is the one-sided maximum (resp. minimum) of the Brownian motion up to time t. Two main cases are treated: either Ft is the i...
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Date: | 2008 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2008
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Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/4558 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | Penalisations of Brownian motion with its maximum and minimum processes as weak forms of Skorokhod embedding / B. Roynette, P. Vallois, M. Yor // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 116–138. — Бібліогр.: 25 назв.— англ. |