为了解决GM(2,1)模型中存在的病态性问题,引入累积法对GM(2,1)模型进行参数估计,给出了新的参数估计公式.该方法避免了采用累加法时复杂的矩阵运算,降低了计算量.利用数乘变换解决了该方法在参数估计中的严重病态性问题,证明数乘变换不改变模型的发展系数及精度.通过实例分析表明累积法GM(2,1)模型是一种值得广泛推广的模型.
In order to solve the morbidity problem in GM(2,1) model, a new parameter estimation to GM(2,1) model basing on accumulating method which reduces the matrix calculation quantity and complexity is proposed. Then the serious morbidity problem in the accumulating method GM(2,1) model with a multiple transformation on the initial data is resolved, a new healthier model is obtained and it is verified that the transformation doesn' t affect the development parameter of the model and the precision of the system. So the accumulating method GM(2,1) model can be applied extensively.