Title
Grey extended prediction model based on IRLS and its application on smog pollution
Abstract
In recent years, smog weather in China has continued to worsen. Aiming at the problem of smog pollution prediction, a new grey extended prediction model, which is based on the GM (grey model) (1,1) model, is proposed in this paper. When the input function takes different forms, the grey extended model can degenerate into various existing grey prediction models. At the same time, the iterative reweighted least squares method (IRLS) is introduced to improve the models. In addition, to study the application effect of the grey extended prediction model GM(1,1,u(t)) and the iterative reweighted least squares method, based on the data of the air quality index (AQI) from December 2013 to February 2018, in Shanghai, four different forms of the GM(1,1,u(t)) model are established in this paper. The ordinary least square method (OLS) and the iterative reweighted least squares method are used to estimate the parameters, and the simulation and prediction results of the models are compared with those of the univariate linear regression model, the autoregressive integrated moving average (ARIMA) model and the feedforward neural network model. The result shows that the GM(1,1,u(t)) model (where u(t) = 1) under the IRLS method has the best prediction effect, which is not only suitable for predicting the normal values of AQI, but also suitable for predicting the outliers of AQI Therefore, it is proven that the GM(1,1,u(t)) model under iterative reweighted least squares is superior in simulation and prediction.
Year
DOI
Venue
2019
10.1016/j.asoc.2019.04.035
Applied Soft Computing
Keywords
Field
DocType
Grey extended model,Iterative reweighted least squares,Prediction,Smog,Air quality index
Feedforward neural network,Mathematical optimization,Ordinary least squares,Outlier,Autoregressive integrated moving average,Air quality index,Predictive modelling,Univariate,Statistics,Mathematics,Linear regression
Journal
Volume
ISSN
Citations 
80
1568-4946
1
PageRank 
References 
Authors
0.36
0
4
Name
Order
Citations
PageRank
Ping-ping Xiong110.36
Wen-jie Yan210.36
Guizhi Wang312.73
Lingling Pei431.08