Girsanov identities for Poisson measures under quasi-nilpotent transformations

We prove a Girsanov identity on the Poisson space for anticipating transformations that satisfy a strong quasi-nilpotence condition. Applications are given to the Girsanov theorem and to the invariance of Poisson measures under random transformations. The proofs use combinatorial identities for the...

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Bibliographic Details
Main Author: Privault, Nicolas
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/80116
http://hdl.handle.net/10220/10219
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Institution: Nanyang Technological University
Language: English
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