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提出一种具有残差校正的ｎ次累加灰色模型，给出了这种模型的建模机理和建模步骤，这种模型提高了ＧＭ（１，１）模型的精度，拓宽了ＧＭ（１，１）的应用范围，特别适用于数据波动“无序”，随机性强的系统的建模。文中仿真实例说明了该模型的有效性。
This paper presents a n-th cumulative gray model with residual error correction. The modeling and modeling steps of this model are given. The model improves the accuracy of the GM (1,1) model and broadens the GM (1,1) 1) applications, especially for data fluctuations “disorderly”, random strong system modeling. The simulation example shows the effectiveness of the model.