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Some perturbation identities for infinitely divisible processes Rosinski, Jan
Description
We propose isomorphism type identities for nonlinear functionals of infinitely divisible (ID) processes. Such identities can be viewed as an analogy of the Cameron-Martin formula for Poissonian ID processes but with random translations, or perturbation identities. Their applicability relies on some knowledge of Lévy measures of stochastic processes and their representations. We will illustrate this approach on examples, including stable processes.
Item Metadata
Title |
Some perturbation identities for infinitely divisible processes
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-11-08T09:00
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Description |
We propose isomorphism type identities for nonlinear functionals of infinitely divisible (ID) processes. Such identities can be viewed as an analogy of the Cameron-Martin formula for Poissonian ID processes but with random translations, or perturbation identities. Their applicability relies on some knowledge of Lévy measures of stochastic processes and their representations. We will illustrate this approach on examples, including stable processes.
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Extent |
36 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Tennessee
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Series | |
Date Available |
2017-06-17
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0348327
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International