The research of reaction abilities and errors distributions for the model of GM(1,1) to simulate equal difference and geometric ratio sequence

The model of GM(1,1) is one of the most important sections in the gray system theories. The abilities of reaction, which the original sequence data are simulated by the GM(1,1), are always noticed by many scholars. However, it is stopped in evaluation of prediction errors in one or two examples that the problem is researched in the present. In this paper, the abilities of GM(1,1) simulation for non-vibration sequence data, in which there are equal difference geometric ratio sequence data, is systematically researched and analyzed with the way of systematic thoughts and theories methods. On the basis of above, the result we got from our research provides good referring and consulting for using the GM(1,1) to predict the future data.