基于面板数据的灰色指标关联模型构建及其应用
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作者单位:

(南京航空航天大学经济与管理学院,南京211106)

作者简介:

党耀国(1964-), 男, 教授, 博士生导师, 从事灰色系统理论、数量经济等研究;尚中举(1993-), 男, 硕士生, 从事灰色系统理论的研究.

通讯作者:

E-mail: shangzhongju@163.com.

中图分类号:

N941.5

基金项目:

国家自然科学基金项目(71771119,71371098,71701101);江苏省社会科学基金重点项目(16GLA001);南京航空航天大学基本科研业务费重大培育项目(NP2016301);南京航空航天大学博士学位论文创新与创优基金项目(BCXJ15-10).


Grey incidence model for relationship between indicators of panel data and its application
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(College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China)

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    摘要:

    针对现有面板数据灰色关联模型中对象的排列顺序变换引起灰色关联序不一致的缺陷,提出一种基于面板数据的新型灰色指标关联模型.考虑到面板数据的时间维度和对象维度差异特征,在时间维上利用增量表征指标的发展水平,对象维上引入离差表征指标的分布特征,同时将两个维度上的方向差异作为正负关联判断依据,构建时间维度和对象维度的关联系数,得到面板数据的灰色指标关联模型,并对模型的唯一性、对称性和可比性等性质进行证明.最后将该模型应用于苏南五市空气质量与主要污染物浓度的关联分析中,验证了灰色指标关联度不受对象排列顺序的影响,且能够反映指标间的正负关联关系.

    Abstract:

    An innovative grey indicator incidence model based on the panel data is presented for the inconsistency of grey relation order resulting from order changing of objects in the grey incidence model of the current panel data. For the difference between the time dimension and the object dimension of panel data, increment and deviation are introduced to respectively represent the development level of the indicator in the time dimension and distribution characteristics of the indicator in the object dimension. This paper also introduces the difference in directions between the above two dimensions to be a judgement standard of positive and negative incidence, and builds an incidence coefficient of the time dimension and object dimension. Moreover, the grey indicator incidence model of panel data is built, and the uniqueness, symmetry and comparability of the model is verified. As a result, the model is applied to the incidence analysis between air quality and concentration of main pollutant for five cities in South-Jiangsu province, verifying that the degree of grey indicator incidence is not related to the objects' order, and indicating the positive and negative incidence between indicators.

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引用本文

党耀国,尚中举,王俊杰,等.基于面板数据的灰色指标关联模型构建及其应用[J].控制与决策,2019,34(5):1077-1084

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  • 在线发布日期: 2019-04-17
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