Grey linear regression model and its application

• Published in: Proceedings of 2011 IEEE International Conference on Grey Systems and Intelligent Services pp. 177 - 181
• Main Authors: Xinping Xiao, Yayun Lu
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.09.2011
• Subjects: Analytical models; Data models; Development coefficient; Forecasting; Grey linear regression model; Linear regression; Mathematical model; Parameter estimation; Passenger traffic; Predictive models; Roads
• ISBN: 9781612844909; 1612844901
• ISSN: 2166-9430
• DOI: 10.1109/GSIS.2011.6044045

The parameter estimation computation in grey linear regression model is relatively complicated, the development coefficient is decided by its simple average and it's vulnerable with the aberrant value and logarithmic neck may be negative. Aiming at those problems, in this paper, we present a new estimation method and three kinds of representations of the model including the Range form, Connotation form and Differential form, then, we obtain the relationship between Connotation form and Differential form, and also get the relationship between the model and GM(1,1) model. Finally an application of short-term traffic flow prediction based on the model is given and some good effects have been achieved.