引用本文:吴鸿华,屈忠锋.基于面板数据的灰色曲率关联模型[J].控制与决策,2020,35(5):1072-1076
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基于面板数据的灰色曲率关联模型
吴鸿华,屈忠锋
(济南大学数学科学学院,济南250022)
摘要:
对于面板数据,首先将面板数据投射为时间维度离散曲线和指标维度离散曲线;然后,基于离散曲率思想分别从时间维度和指标维度构建时间维度和指标维度关联系数公式,并以此构建面板数据灰色曲率关联模型,新的模型具有规范性、对称性、相似性、平移不变性等性质;最后通过与已有模型的对比和实例分析新的模型的合理性,结果表明,新的关联度能较好地反应面板数据的相关程度.
关键词:  关联度  灰色系统  曲率  面板数据  离散曲线
DOI:10.13195/j.kzyjc.2019.0441
分类号:TP941.5
基金项目:山东省高等学校科技计划项目(J18KA249);济南大学科技发展基金项目(XKY1614).
The grey curvature incidence model based on panel data
WU Hong-hua,QU Zhong-feng
(School of Mathematical Sciences,University of Jinan,Jinan 250022,China)
Abstract:
The panel data is projected to the time dimension discrete curves and the index dimension discrete curves. Then, based on the thinking of discrete curvature, the incidence coefficient formulas of the time dimension and index dimension are respectively constructed. The grey curvature incidence model is constructed. The properties of the model, e.g., normalization, symmetry, similarity and translation invariance, are also satisfied. Finally, the comparison to some existing models and an example are given to illustrate the rationality of the proposed model, and the results show that the proposed model can better reflect incidence degree of panel data.
Key words:  degree of incidence  grey system  curvature  panel data  discrete curve

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