Distortion risk measures play an essential role in the fields of finance and risk management. In this paper, we present a new distortion risk measure with mixed methods. We then investigate the optimal reinsurance problem under the new risk measure and the closed-form solutions of optimal reinsurance policies are obtained. As special cases of the new distortion risk measure, VaR and GlueVaR are considered in the application of risk management.
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Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
Wang, Chuchu
Wang, Wei
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Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
Wang, Wei
Zhang, Yiying
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Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
Zhang, Yiying
Zhao, Peng
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Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
机构:
Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
Wang, Chuchu
Wang, Wei
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
Wang, Wei
Zhang, Yiying
论文数: 0引用数: 0
h-index: 0
机构:
Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
Zhang, Yiying
Zhao, Peng
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China