425 citations
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Showing 2021 · math.PRShow all
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math.PR2021★ 1 cited
Large population asymptotics for a multitype stochastic SIS epidemic model in randomly switched environment
Adrien Prodhomme, Édouard Strickler
We consider an epidemic SIS model described by a multitype birth-and-death process in a randomly switched environment. That is, the infection and cure rates of the process depend o…
math.PR2021★ 1 cited
An expansion formula for Hawkes processes and application to cyber-insurance derivatives
Caroline Hillairet, Anthony Reveillac, Mathieu Rosenbaum
In this paper we provide an expansion formula for Hawkes processes which involves the addition of jumps at deterministic times to the Hawkes process in the spirit of the well-known…