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残差修正的CGM(1,1)模型研究及应用
引用本文:沈艳,韩煜,韩帅,凌焕章. 残差修正的CGM(1,1)模型研究及应用[J]. 数学的实践与认识, 2020, 0(10): 193-201
作者姓名:沈艳  韩煜  韩帅  凌焕章
作者单位:•哈尔滨工程大学数学科学学院;哈尔滨工程大学自动化学院
基金项目:国家自然科学基金(51979062)。
摘    要:根据数值分析理论中的数值积分思想,对GM(1,1)模型的背景值和常数进行改进,形成残差修正的CGM(1,1)模型.实验结果表明,残差修正的CGM(1,1)模型可获得较高的模型精度.

关 键 词:GM(1,1)模型  复化Cotes求积公式  残差修正  模型验证

Research and Application of Residual Error Corrected CGM(1,1)Model
SHEN Yan,HAN Yu,HAN Shuai,LING Huan-zhang. Research and Application of Residual Error Corrected CGM(1,1)Model[J]. Mathematics in Practice and Theory, 2020, 0(10): 193-201
Authors:SHEN Yan  HAN Yu  HAN Shuai  LING Huan-zhang
Affiliation:(College of Mathematical Sciences,Harbin Engineering University,Harbin 150001,China;College of Automation,Harbin Engineering University,Harbin 150001,China)
Abstract:According to the idea of numerical integration in the theory of numerical analysis,the background value and constants of the GM(1,1) model are improved to form the residualcorrected CGM(1,1) model.Experimental result shows that the residual-modified CGM(1,1)The model can obtain higher model accuracy.
Keywords:GM(1,1)model  composite Cotes quadrature formula  residual correction  model verification
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