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Moderate deviations for a risk model based on the customer-arrival process
Authors:Xinmei ShenYi Zhang
Institution:
  • a School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
  • b Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
  • Abstract:In this paper, we investigate the moderate deviations for a customer-arrival-based insurance risk model, in which customer’s actual claim sizes are described as independent and identically distributed heavy-tailed random variables multiplying a shot function, and the model can be treated as a Poisson shot noise process.
    Keywords:60F10  60G55  91B30
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