• DocumentCode
    2330949
  • 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
  • Volume
    5
  • fYear
    2005
  • fDate
    18-21 Aug. 2005
  • Firstpage
    2650
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
  • Conference_Location
    Guangzhou, China
  • Print_ISBN
    0-7803-9091-1
  • Type

    conf

  • DOI
    10.1109/ICMLC.2005.1527392
  • Filename
    1527392