对于毕竟破产概率，结合维他里型积分方程系统，得到了破产的严重性以及破产前和后的剩余额的联合分布。

Coupled Volterra type integral equation systems for ultimate ruin probability, severity of ruin and joint distribution of surplus before and after ruin are also obtained.

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这些结果为维里型和立方型方程在特定条件下的相互转换提供了理论依据。

The results can offer a theoretical basis for the mutual transformation of the virial and cubic equations under some specific conditions.

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