离散GOM(1,1)模型及其应用

Diserete GOM(1,1) Model and Its Application

基于反向累加生成的灰色GOM(1,1)模型,给出了灰色离散GOM(1,1)模型的建模方法.解释了离散GOM(1,1)模型比原始GOM(1,1)模型的优越性,证明了离散GOM(1,1)模型不仅具有白化指数律,而且具有线性不变性.最后,利用给出的一个实例,证明了离散GOM(1,1)模型具有较高的拟合和预测精度.

The reason that the discrete GOM （1, 1） model is more superior than the original GOM（1,1） model is explained, and it is proved in theory that the discrete GOM （1, 1） model not only has coincidence of the white exponent law, but also has uniformity of the linear transformation.Finally one application example shows the precision of the discrete GOM （1, 1） model is higher than that of the GOM （1, 1） model.