An Explicit Representation of the Extended Skorokhod Map with Two Time-Dependent Boundaries
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-07
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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, metrics on the space of càdlàg functions.
We develop a useful technique of extending known results for the Skorokhod maps onto the larger class of extended Skorokhod maps.
American Psychological Association (APA)
Slaby, Marek. 2010. An Explicit Representation of the Extended Skorokhod Map with Two Time-Dependent Boundaries. Journal of Probability and Statistics،Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-502884
Modern Language Association (MLA)
Slaby, Marek. An Explicit Representation of the Extended Skorokhod Map with Two Time-Dependent Boundaries. Journal of Probability and Statistics No. 2010 (2010), pp.1-18.
https://search.emarefa.net/detail/BIM-502884
American Medical Association (AMA)
Slaby, Marek. An Explicit Representation of the Extended Skorokhod Map with Two Time-Dependent Boundaries. Journal of Probability and Statistics. 2010. Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-502884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502884