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改进GM(2,1)模型的MATLAB实现及其应用
引用本文:李玲玲,单锐,崔红芳.改进GM(2,1)模型的MATLAB实现及其应用[J].数学的实践与认识,2011,41(20).
作者姓名:李玲玲  单锐  崔红芳
作者单位:燕山大学理学院,河北秦皇岛,066004
基金项目:河北省教育厅科研项目(A1447)
摘    要:针对经济预测,根据灰色模型GM(1,1)的应用介绍了灰色模型GM(2,1)的原理,并利用最小二乘法改进GM(2,1)算法及其预测步骤,用MATLAB实现了预测,用中国经济增长率数据做了仿真,对观测时间序列拟合出数学模型.

关 键 词:灰色GM(2  1)模型  最小二乘原则  MATLAB  算法  经济预测

The Application of the Improved GM(2,1) Grey Model Using MATLAB
LI Ling-ling,SHAN Rui,CUI Hong-fang.The Application of the Improved GM(2,1) Grey Model Using MATLAB[J].Mathematics in Practice and Theory,2011,41(20).
Authors:LI Ling-ling  SHAN Rui  CUI Hong-fang
Affiliation:LI Ling-ling,SHAN Rui,CUI Hong-fang (College of Science,Yanshan University,Qinhuangdao 066004,China)
Abstract:This paper introduced economic forecasting,according to the application of grey model GM(1,1) to introduce the theory of grey model GM(2,1),its improved algorithm and its prediction steps by MATLAB.Then,to observe the forecast about the data China's economic growth rate which using MATLAB simulation.Finally,to simulate time series the mathematical model of the time series.
Keywords:grey model gm(2  1)  the least square method  matlab  algorithm  economic forecasting  
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