We suggest a solution to the problem of truncation of truncated Lévy flights by deductively finding a power law between the truncation length and its standard deviation. We offer a generalization where the pdf of returns is left unknown, and its distributional moments are allowed to vary in time. Our model fits well with a financial dataset, which exhibits extreme moves.

中文翻译：

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绕过Lévy航班被截断的截断问题

我们建议通过推导截短长度与其标准偏差之间的幂定律，来解决截短的Lévy航班截断问题。我们提供了一个归纳，其中收益率的pdf未知，并且其分配矩可以随时间变化。我们的模型非常适合财务数据集，该数据集显示出极端的变化。