节点文献
位置-尺度分布族中均值-方差准则与期望效用理论的一致性
The Consistency of Expected Utility Theory and Mean-Variance Rule When The Decision Set is Comprising By The Location-Scale Family
【摘要】 证明了当决策集为位置-尺度分布族时,期望效用理论与均值-方差准则是一致的.从而就可以将马克威茨的均值-方差准则中的正态假设减弱为位置-尺度分布族.这不仅扩大了均值-方差准则的应用范围,而且巩固了组合投资理论与资本资产定价理论的基础.
【Abstract】 This paper proves that mean-variance rule of Markowitz is consistent with expected utility theory and stochastic dominance when decision set is comprising by the location-scale family,so we can change the normal distribution hypothesis of mean-variance rule to the location-scale family hypothesis.This enlarge the application scope of mean-variance rule of Markowitz.
【关键词】 期望效用;
随机占优;
均值-方差;
位置-尺度分布族;
【Key words】 expected utility; stochastic dominance; mean-variance; location-scale family;
【Key words】 expected utility; stochastic dominance; mean-variance; location-scale family;
【基金】 新疆自治区高校科研计划立项重点项目(XJEDU2006I53)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年02期
- 【分类号】O211
- 【被引频次】4
- 【下载频次】191