灰色预测模型的进一步拓广

The Further Generalization for Grey Forecasting Model

一、引言 文献[2]中提出了用对数函数对原始数据列{x^((0))(k)}进行变换,提高了离散数据的光滑度,从而拓宽了灰色预测模型的应用范围。文献[2]还给出了预测全国电视机产量的结果,并使这个预测结果的平均误差由不作变换进行预测的263.16％减少到23.6％。 提高灰色预测精度关键在于增加数据列的光滑性。为此,笔者提出用幂函数对原始数据{x^((0))(k)

In this paper, the method which forecasts original sequences with logarithmic function has been complemented, and the method which handles original sequences by logarithmic function-power function transformation has been presented, then smooth degree and precision of forecasting of discrete data have been improved.