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量化冗余和协同作用与衡量不平等的措施
Tobias Mages1, Christian Rohner1
1Department of Information Technology, Uppsala University, Uppsala, Sweden.
PloS one
|November 20, 2024
概括
本研究介绍了f-不平等的措施来分析属性相互作用和不平等. 一种新的分解方法揭示了独特,冗余和协同效应,提供了实用的系统分析见解.
科学领域:
- 信息理论 信息理论
- 计量经济学 计量经济学
- 系统分析 系统分析
背景情况:
- 不平等措施对于系统分析,比较和优化至关重要.
- 了解属性相互作用 (冗余,独特性,协同作用) 是构建不平等的关键.
- 像Pietra和通用率指数这样的现有指标在动态属性分析中存在局限性.
研究的目的:
- 定义一个新的不平等指标家族 (f-不平等) 来自f-差异.
- 开发一个集合理论分解 f-不等式的措施来研究属性动态.
- 为了证明这种分解对超出f不等式的指标的适用性,例如阿特金森指数.
主要方法:
- 基于 f-差异的 f-不平等指标的定义.
- 为 f-不平等措施制定一个一般的分解框架.
- 将分解应用于阿特金森指数以说明其更广泛的实用性.
主要成果:
- 引入了一个新的不平等指标家族 (f-不平等),包括现有指数.
- 介绍了f不等式的一般集合理论分解,使得研究属性相互作用成为可能.
- 分解框架被证明可以适应其他不平等措施,提供实用的系统分析见解.
- 从Shapley值得出一个新的解释,突出了不平等分解与信息理论之间的联系.
结论:
- f-不平等框架及其分解为分析属性相互作用及其对不平等的贡献提供了强大的工具.
- 分解为系统分析提供了实用的见解,补充了现有的子组方法.
- 这项研究揭示了不平等指标的分解与信息理论概念,包括沙普利值之间的密切关系.
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