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arxiv: 1211.4039 · v3 · submitted 2012-11-16 · 🧮 math.PR

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Limit Theorems for Marked Hawkes Processes with Application to a Risk Model

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keywords limitapplicationhawkesprocessestheoremsanswersbordenavecentral
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This paper focuses on limit theorems for linear Hawkes processes with random marks. We prove a large deviation principle, which answers the question raised by Bordenave and Torrisi. A central limit theorem is also obtained. We conclude with an example of application in finance.

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