It redefined ultimate ruin probabilities and survival probabilites in the multi-delayed compound renewal risk model. Meanwhile, it also delivered asympototic formula for local ruin probabilities according to this background with two different heavy-tailed chasses respectively when F∈S* and F∈Sd(γ) which were deduction of local ruin probabilities in the compound renewal risk model.%给出多重延迟复合更新风险模型及最终破产概率和生存概率,并对F∈S*和F∈Sd(γ)两个不同的重尾族,得到相应背景下的局部破产概率的渐近表达式.
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