Improvement of Non-Equidistant GM(1,1) Model and Its Application

The accumulating method is introduced into the non-equidistant GM(1,1) model, then the accumulating method non-equidistant GM(1,1) model is proposed.And further, in order to reduce hysteresis error,an optimized background-value construction is given and substituted into the dispersed equation of the proposed model,from which,a new forecasting formula is obtained and can take the place of the white response.The analyzing results conclude that good effects are obtained when the accumulating method is applied into the non-equidistant model and a good forecasting precision of the improved model is achieved.