非线性数学期望的一些性质研究

黄安琪; 周津名; 纪荣林

doi:10.13471/j.cnki.acta.snus.2019.06.25.2019A050

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非线性数学期望的一些性质研究

研究论文 | 更新时间：2023-11-01

- 非线性数学期望的一些性质研究
- Some properties of nonlinear expectations
- 中山大学学报(自然科学版) 2020年59卷第4期页码：144-148
- 作者机构：
  
  1.对外经济贸易大学国际经济贸易学院，北京 100029
  2.安徽大学数学科学学院，安徽合肥 230601
  3.合肥师范学院数学与统计学院，安徽合肥 230601
- 作者简介：
  
  黄安琪(1998年生)，女；研究方向：金融数学；E-mail:ahuhuangaq@163.com
  纪荣林(1984年生)，男；研究方向：金融数学；E-mail:jironglin@ahu.edu.cn
- 基金信息：
  
  安徽大学博士科研启动(Y040418128);安徽省高校自然科学研究(KJ2018A0496;KJ2019A0001)
- DOI：10.13471/j.cnki.acta.snus.2019.06.25.2019A050
  中图分类号： O211.67
- 纸质出版日期：2020-07-20，
  
  收稿日期：2019-06-25，
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黄安琪,周津名,纪荣林.非线性数学期望的一些性质研究[J].中山大学学报(自然科学版),2020,59(04):144-148.

HUANG Anqi,ZHOU Jinming,JI Ronglin.Some properties of nonlinear expectations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):144-148.
黄安琪,周津名,纪荣林.非线性数学期望的一些性质研究[J].中山大学学报(自然科学版),2020,59(04):144-148. DOI： 10.13471/j.cnki.acta.snus.2019.06.25.2019A050.

HUANG Anqi,ZHOU Jinming,JI Ronglin.Some properties of nonlinear expectations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):144-148. DOI： 10.13471/j.cnki.acta.snus.2019.06.25.2019A050.

摘要

在公理化假设的基本框架下

建立了次线性期望(超线性期望)与一致性风险度量之间的对应关系。进一步地

在对非线性数学期望附加一定的连续性假设的条件下

建立了凸期望(凹期望)与凸风险度量之间的内在联系。

Abstract

Under the axiomatic assumptions for nonlinear expectations and financial risk measures

the relation between sublinear expectations (Resp. superlinear expectations) and coherent risk measures is obtained

respectively.Furthermore

under a natural continuous assumption for the nonlinear expectations

the relationship between convex expectations (Resp. concave expectations) and convex risk measures is also established

respectively.

关键词

非线性数学期望次线性期望凸期望一致性风险度量凸风险度量

Keywords

nonlinear expectationsublinear expectationconvex expectationcoherent risk measureconvex risk measure

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