arXiv:1306.5103 [math.PR]AbstractReferencesReviewsResources
The Kalman-Bucy Filter for Integrable Lévy Processes With Infinite Second Moment
David Applebaum, Stefan Blackwood
Published 2013-06-21, updated 2014-04-08Version 5
We extend the Kalman-Bucy filter to the case where both the system and observation processes are driven by finite dimensional L\'{e}vy processes, but whereas the process driving the system dynamics is square-integrable, that driving the observations is not; however it remains integrable. The key technique used is approximation by processes having bounded jumps.
Categories: math.PR
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