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math.PR2021
Hidden regular variation for point processes and the single/multiple large point heuristic
Clément Dombry, Charles Tillier, Olivier Wintenberger
We consider regular variation for marked point processes with independent heavy-tailed marks and prove a single large point heuristic: the limit measure is concentrated on the cone…
math.PR2016
Regular variation of a random length sequence of random variables and application to risk assessment
Charles Tillier, Olivier Wintenberger
When assessing risks on a finite-time horizon, the problem can often be reduced to the study of a random sequence of random length , where comes f…