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A note on a dependent risk model with constant interest rate
Authors:Xijun LiuQingwu Gao  Yuebao Wang
Institution:
  • a Foundation Department, The First Aeronautical College of Air Force, Xinyang, 464000, China
  • b School of Mathematics and Statistics, Nanjing Audit University, Nanjing, 211815, China
  • c School of Mathematics, Soochow University, Suzhou, 215006, China
  • Abstract:For a dependent risk model with constant interest rate, in which the claim sizes form a sequence of upper tail asymptotically independent and identically distributed random variables, and their inter-arrival times are another sequence of widely lower orthant dependent and identically distributed random variables, we will give an asymptotically equivalent formula for the finite-time ruin probability. The obtained asymptotics holds uniformly in an arbitrarily finite-time interval.
    Keywords:62P05  62E10  60F05
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