基于倒数累加的非等距灰色模型及其应用

The Grey Model for Non-equidistant Sequence based upon the Reciprocal Transform and its application

在对原始数据序列的一次累加生成中,考虑到序列的间距和原始数据序列的单调性因素,给出了对非等间距递减序列建立GM(1,1)模型的又一种新的方法——倒数累加生成.实例表明文中提出的方法概念明确、计算方便、有较高的拟合和预测精度.

Considering the spacing in primary accumulating generating of primitive data sequence, the accumulated generating operation in reciprocal number has been given in this paper, given the grey model GRM(1,1)and the basic theory for non-equidistant sequence. Example shows that the approach raised is definite in concept, convenient in calculation, good in fitting and precise in prediction, thus providing a good solution to the problems of fitting and prediction in establishing models for non-equidistant sequence.