基于自相关理论的GM(1,1)和GM(1,N)联合预测

Integrated forecasting of GM(1, 1) and GM(1, N) based on self-correlation theory

通过引入自相关分析,将GM(1, 1)与GM(1, N)两者的优点有机结合,运用GM(1, 1)预测模型所需的数据量,达到GM(1, N)预测模型所具有的预测精度,减少灰色模型的预测误差.

It is well known that for GM(1, 1) forecasting, it needs only less data quantity while for GM(1, N) forecasting, the more is the data quantity, the more will be the forecasting precision. In the paper, these two models are connected reasonably by self-correlation analysis. It is a meaningful improvement for reducing Errors to achieve GM(1, N)'s forecasting precision but with GM(1, 1)'s data requirement.