NDLI: Modeling solution and properties research on the General GM(1,1) model

Content Provider	IEEE Xplore Digital Library
Author	Zhou Wei He Jian-min
Copyright Year	2011
Description	Author affiliation: School of Economics and Administration of Southeast University, P.R. China, 211189 (Zhou Wei; He Jian-min)
Abstract	Discrete GM(1,1) model solves the bias defect in homogeneous exponential fitting using GM (1,1) model. General GM(1,1) model solves the conversion problem of the original equation between differential form and differential form, and can effectively profile GM(1,1) model and Discrete GM(1,1) model. But, the modeling mechanism, solution approach and lots of good properties about General GM(1,1) model do not take in-depth studying. So that, we research the mechanism of the General GM(1,1) modeling and three solution approaches about the stepwise ratio including the fitting approach of initial information, the fitting approach of new information and the overall error minimization approach in this paper. Then, we further detailed analysis some important properties such as the general nature, the fitting optimization property, the homogeneous exponential property and the unbiased property to fit homogeneous exponent. At last, the feasibility and the optimization properties are confirmed through an real example. Then, General GM(1,1) model and Grey Prediction Theory could be effetely improved and perfected for this article.
Starting Page	73
Ending Page	78
File Size	136851
Page Count	6
File Format	PDF
ISBN	9781457718854
ISSN	21551855
e-ISBN	9781457718885
DOI	10.1109/ICMSE.2011.6069945
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-13
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	time response function Analytical models Fitting Predictive models General GM(1 1) model Data models Mathematical model Time factors stepwise ratio Equations original equation
Content Type	Text
Resource Type	Article

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