Haezendonck风险度量的修正和优化

The Modification and Optimization of Haezendonck Risk Measure

  • 摘要: 在本文中, 我们对Haezendonck风险度量进行了修正. Haezendonck风险度量是最小的Orlicz风险度量, 它的命名是为了纪念J. Haezendonck, 实际上, Haezendonck风险度量同样是对风险的一种量化, 它在Orlicz空间中研究, 是用一类函数定义的风险度量, 这种风险度量有一些好的性质. 但是在现实生活中, 当风险增大的时候, 损失或收益会相应地变得更大一些. 所以本文从实际出发, 对Haezendonck风险度量进行了修正, 给出了修正Haezendonck风险度量的定义, 并且论证了它的一些性质. 这是对Haezendonck风险度量的推广和改进, 对实际有一定的指导意义.

     

    Abstract: This paper describes the modification of the Haezendonck risk measure. When the risk becomes very high, the lose or the surplus will become much larger, whose function should be a curve steeper than the straight line on the tail. So based on the Haezendonck risk measure the modified Haezendonck risk measure is proposed. And some properties of the modified Haezendonck risk measure are proved, which has certain directive significance to actual life.

     

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