A research on parameters of accumulating method GM(1,1) model by matrix analysis

On the basis of matrix analysis, a matrix form of the formula about parameter estimation of the accumulating method GM(1,1) model is proposed, which presents the direct relationship between parameters and raw series. Therefore, computations for the 1-AGO series and MEAN generating operation are avoided. Moreover, if making a data transformation on the raw series, the effect on parameters of the model can be obtained easily. Due to the proposed formula, three important characteristics about the parameters of accumulating method GM(1,1) model are proved, which are the same as properties of the traditional GM(1,1) model. So, it proves again that estimating the parameters of GM(1,1) model by accumulating method is accurate and valid.