论文标题

复合续订过程的固定概率水平的近似

Approximation of the fixed-probability level for a compound renewal process

论文作者

Malinovskii, Vsevolod

论文摘要

在处理具有通常分布的跳跃大小和恢复间隔的复合续订过程时,我们专注于固定概率级别的近似值,这是倒数级别交叉问题的核心。我们正在开发[15] - [17]中提出的一种分析技术,并基于肯德尔的身份。这在直接级别交叉问题中产生(见[18])逆高斯近似。这些问题在风险理论中非常重要。

Dealing with compound renewal process with generally distributed jump sizes and inter-renewal intervals, we focus on the approximation for the fixed-probability level, which is the core of inverse level crossing problem. We are developing an analytical technique presented in [15]-[17] and based on Kendall's identity; this yields (see [18]) inverse Gaussian approximation in the direct level crossing problem. These issues are of great importance in risk theory.

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