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arXiv 2008.02420math.PRq-fin.MFq-fin.RM
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随机优势约束下的最小分位数函数

Minimal Quantile Functions Subject to Stochastic Dominance Constraints

Xiangyu Wang, Jianming Xia, Zuo Quan Xu, Zhou Yang

摘要:

考虑了在一阶随机占优和二阶随机占优约束的混合约束下,寻找一个SSD(second-order stochastic dominance)最小分位数函数的问题。SSD最小的解决方案是明确的,并有密切的关系,Skorokhod问题。这个结果,然后应用到明确解决金融经济学中的风险最小化问题。

英文摘要:

We consider a problem of finding an SSD (second-order stochastic dominance)-minimal quantile function subject to the mixture of FSD (first-order stochastic dominance) and SSD constraints. The SSD-minimal solution is explicitly worked out and has a close relation to the Skorokhod problem. This result is then applied to explicitly solve a risk minimizing problem in financial economics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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