Title :
A research on morbidity problem in accumulating method GM(1,1) model
Author :
Zeng, Xiang-Yan ; Xiao, Xin-Ping
Author_Institution :
Coll. of Sci., Wuhan Univ. of Technol., China
Abstract :
Accumulating method GM(1,1) model gets a new parameter estimation formula by accumulating method. But there is morbidity problem in it. In order to resolve the morbidity of the model, we analyze it in this paper based on the condition number theory. It proves that it can resolve the morbidity problem in accumulating method GM(1,1) model. With a multiple transformation on the initial data, we can get a new healthier model. Finally, it is proved that the transformation doesn´t affect the precision of the model. So the model in the paper have more advantages than the traditional one.
Keywords :
grey systems; number theory; parameter estimation; accumulating method; condition number theory; morbidity problem; multiple transformation; parameter estimation formula; Curve fitting; Econometrics; Educational institutions; Electronic mail; Equations; Estimation error; Mathematical model; Mathematics; Parameter estimation; Stability; Accumulating method; GM(1,1) model; morbidity; multiple transformation;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527392