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J4 ›› 2012, Vol. 47 ›› Issue (7): 76-80.

• 数学 • 上一篇    下一篇

次线性期望下的大数定律及应用

刘智   

  1. 山东大学数学学院, 山东 济南 250100
  • 收稿日期:2012-05-01 出版日期:2012-07-20 发布日期:2012-09-01
  • 作者简介:刘智(1982- ),男,博士,研究方向为非线性数学期望.Email:liuzhisdu@gmail.com

The law of large numbers under subliear expectations and its applications

LIU Zhi   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2012-05-01 Online:2012-07-20 Published:2012-09-01

摘要:

得到了一致可积条件下次线性期望的大数定律,并考虑了此结果在金融中的应用。特别地,考虑了在g-期望中的应用并得到一些极限性质。

关键词: 大数定律;次线性期望;g-期望

Abstract:

Under the uniformly integrable condition, the law of large numbers under sublinear expectations was obtained, and this result was applied to finance. Specially, this result was applied to g-expectations and some limit properties are obtained.

Key words:  law of large numbers; subliear expectations; g-expectations

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