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Uniform asymptotics for random time ruin probability with subexponential claims and constant interest rate
Authors:Xiaodong Bai  Lixin Song  Yuebao Wang
Affiliation:1. School of Science, Dalian Nationalities University, Dalian, Chinabaixd518@gmail.com;3. School of Mathematical Sciences, Dalian University of Technology, Dalian, China;4. Department of Mathematics, Soochow University, Suzhou, P.R. China
Abstract:Consider the probability of random time ruin in the renewal risk model with the general nonnegative and non decreasing premium process and constant interest rate. We obtain a uniform asymptotic formula for random time τ and subexponential distribution.
Keywords:Uniform asymptotic  Renewal risk model  Random time ruin probability  Subexponential distribution
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