An Explicit Representation of the Extended Skorokhod Map with Two Time-Dependent Boundaries

We consider the extended Skorokhod problem for real-valued càdlàg functions with the constraining interval [𝛼,𝛽], where 𝛼 and 𝛽 change in time as values of two càdlàg functions. We find an explicit form of the solution and discuss its continuity properties with respect to the uniform, 𝐽1 and 𝑀1, met...

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Bibliographic Details
Main Author: Marek Slaby
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/846320
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