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Séminaire Conférence Sur le campus

Actuarial Seminar: M. Fabien Baeriswyl (Operation department - HEC)

Limiting results and large deviations of Poisson cluster processes

Published on 03 Feb 2025
Place
Extranef, 125
Format
On site

Abstract: In this talk, we discuss the (hidden) regular variation of certain marked Poisson cluster point processes. (Hidden) regular variation of these processes is expressed as convergence on a space of point measures, where increasingly broad cones of possible limiting measures are successively removed. Using continuous mappings, we highlight that the then-obtained principles of hidden regular variation translates, in functional settings, to large deviation principles for trajectories of the functionals on Skorokhod space endowed with the right topology. This is a joint work with Olivier Wintenberger. 

Seminar organized by Prof. E. Hashorva


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