用Simpson公式构造背景值的GM(1,1)建模新方法
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引用本文:何满喜,王勤.用Simpson公式构造背景值的GM(1,1)建模新方法[J].经济数学,2011,(4):101-104
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作者单位
何满喜,王勤 (中国计量学院 数学系浙江 杭州310018) 
中文摘要:提出了用Simpson 数值积分公式构造背景值的GM(1,1) 建模新方法,并通过算法分析和一些实例说明了该方法对很多时间序列应用方便,且其模型的拟合精度也比一些文献中的建模方法有明显改进.认为所提出的方法是建立GM(1,1) 预测模型时值得考虑的一个新方法,这不仅将对GM(1,1) 建模方法的理论研究提供必要的算法依据,而且对合理应用GM(1,1) 预测模型具有一定的参考价值.
中文关键词:GM(1,1)模型  背景值  Simpson公式  拟合精度
 
Constructing the Background Value forGM(1,1) Model Based on Simpson Formula
Abstract:A new method was proposed to construct the background value for GM(1,1) model by using the Simpson numerical integration formula. The algorithm analysis of some examples indicates that this new method is adaptable to many time series, and the fitting precision is improved considerably compared with that in other literatures. So we think our method deserves to be considered when one sets up GM(1,1) prediction model. The method not only provides necessary algorithm basis for the theory of GM(1,1) model, but also has some reference value for properly using GM(1,1) prediction model.
keywords:GM(1,1) model  background value  Simpson formula  fitting precision
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