收入与物价关系的灰预测分析

Grey Prediction Analysis of the Relationship Between Income and Price

利用平移变换方法对灰色预测模型进行改进,对平移变换存在性进行了证明,并给出最优平移步长的求解方法和利用平移变换建立灰色模型的一般步骤;应用优化后的灰色模型对收入与物价关系进行预测分析,与线性回归模型作了相应比较,从结果可看出,对于收入物价系统,优化后的灰色模型计算简单,模型更加精确可靠,用于对未来收入与物价关系的预测,能提供更有效的数据依据,具有很好的实际应用意义.

In the paper,we proposed the translation transformation method to optimize the grey model, and the existence of translation transformation was carried on the proof. then, how to solve the best step size of translation transformation and construct grey models step by step by using of translation transformation were given. In the end, we applied the Grey model optimized to analyze the relationship between income and price comparing with the linear regression model.It could be seen from the results that the grey model has characteristics of higher accuracy and more simple calculation process. Thus, it is a good practical significance that the more effective data is provided by applying the grey model to analyzing the relationship between income and price in future.