Consider a compound renewal risk model, in which a single accident may cause more than one claim. Under the condition that the common distribution of the individual claims is second order subexponential, we establish a second order asymptotic formula for the infinite-time ruin probability. Compared with the traditional ones, our second order asymptotic result is more precise and effective, which can be demonstrated by the numerical studies.

中文翻译：

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复合更新风险模型中无限时间破产概率的二阶渐近性

考虑一个复合续签风险模型，在该模型中，一次事故可能会导致多个索赔。在单个索赔的共同分布为二阶次指数的情况下，我们建立了无限次破产概率的二阶渐近公式。与传统方法相比，我们的二阶渐近结果更加精确和有效，这可以通过数值研究来证明。