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根据灰色关联分析的基本思想,在定义了面板数据矩阵表现形式的基础上,以指标为研究对象,从个体和时间两个维度分别衡量了相关因素矩阵与系统特征行为矩阵之间的发展速度指数和增长速度指数的接近程度,并以此作为关联度的度量,将灰色关联分析由传统的向量空间拓展到矩阵空间,提出了面板数据的灰色矩阵相似关联模型,并讨论了其性质。最后以CO_2排放为例,通过测算中部六省2005-2012年碳排放量,建立了中部地区碳排放影响因素的灰色矩阵相似关联模型,实例表明,该模型简单,且具有良好的应用性。
According to the basic idea of gray relational analysis, based on the definition of the panel data matrix representation, taking the index as the research object, we measure the development speed index between the correlation factor matrix and the system characteristic behavior matrix separately from the two dimensions of individual and time And the growth rate index as a measure of the degree of correlation, the gray relational analysis is expanded from the traditional vector space to the matrix space. A gray matrix similarity correlation model of the panel data is proposed and its properties are discussed. Finally, taking CO_2 emission as an example, a gray matrix similarity correlation model of carbon emission influencing factors in central China was established by measuring the carbon emissions of six provinces in central China from 2005 to 2012. The example shows that the model is simple and has good applicability.