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Asymptotic estimates of Gerber-Shiu functions in the renewal risk model with exponential claims
Authors:Li Wei
Institution:Li WEI1,2 1School of Finance, Renmin University of China, Beijing 100872, China 2China Financial Policy Research Center, Renmin University of China, Beijing 100872, China
Abstract:This paper continues to study the asymptotic behavior of Gerber-Shiu expected discounted penalty functions in the renewal risk model as the initial capital becomes large. Under the assumption that the claim-size distribution is exponential, we establish an explicit asymptotic formula. Some straightforward consequences of this formula match existing results in the field.
Keywords:asymptotics  exponential claims  Gerber-Shiu functions  renewal risk model
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