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估计GM(1,1)模型中参数的线性规划方法

Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics(2004)

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Abstract
估计GM(1,1)模型中的参数通常采用最小二乘准则,而在模型精度检验时又常采用平均相对误差.在平均相对误差达到最小准则或最大相对误差达到最小准则时,分别给出了估计GM(1,1)模型中参数的线性规划方法,并通过实例给出了不同极小化准则下数值结果的对比.数值结果表明,采用平均相对误差达到最小准则和最大相对误差达到最小准则比通常采用的最小二乘准则更合理,效果更好.
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Key words
GM(1,1) model,Linear programming,Minimization average relative error criterion,Minimization maximum relative error criterion
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