在现有对投资与消费关系研究缺乏定量研究的基础上,引入Copula函数来探讨投资与消费的变动关系。首先利用因子分析进行投资与消费高维指标的降维处理,这样有效避免了Copula函数在多维变量下的建模复杂性;接着利用半参数建模方法选择了Gumbel函数来描述当前二者的关系;结果显示当前我国投资与消费存在显著不均衡关系,同时二者具有非对称性、非线性等数量特征;最后对上述研究结论进行了经济解释分析。
After the lack of quantitative research on investment and consumption pointed out, the copula model is used to study the relationship between investment and consumption. Firstly, high dimensions of investment and consumption are reducted by factor analysis, which avoids the complexity on copula model at the case of the multi-dimensional variable. Then, the Gumbel copula is used to describe the relationship by semi-parametric approach. The result shows that the development of investment and consumption in China is unbalance and the relationship is non-symmetry and nonlinear. Finally, the result is explaned by economic.