A modified unbiased GM(1,1) model

Peirong Ji (College of Electrical Engineering and Renewable Energy, China Three Gorges University, Hubei, People's Republic of China)
Jian Zhang (College of Electrical Engineering and Renewable Energy, China Three Gorges University, Hubei, People's Republic of China)
Hongbo Zou (Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China)
Wenchen Zheng (State Grid, Operating Company of Yichang Management Agency, Hubei, People's Republic of China)

Grey Systems: Theory and Application

ISSN: 2043-9377

Publication date: 20 October 2011

Abstract

Purpose

The purpose of this paper is to propose a new grey system model used for prediction.

Design/methodology/approach

It had been proven that the GM(1,1) model is a biased exponential model, the model is fit for non‐negative raw data, which accord with or basically accord with the exponential form and do not have a quick growth rate. Based on the results, an unbiased GM(1,1) model was proposed. With the method of transforming every datum of raw data sequence into its 2‐th root, a new data sequence from the raw data sequence can be produced. The new data sequence is used to establish an unbiased GM(1,1) model and statistical experiments and a practical example in load forecasting are given in the paper.

Findings

The results of statistical experiments and a practical example in load forecasting show the proposed method is effective in increasing the accuracy of the model.

Practical implications

The model exposed in the paper can be used for constructing models of prediction in many fields such as agriculture, electric power, IT, transportation, economics, management, etc.

Originality/value

The paper succeeds in proposing a modified unbiased GM(1,1) model that has high accuracy. The model is applied to the field of load forecasting and the results show the model is better than the unbiased GM(1,1) model. The model proposed has great theoretical and practical value.

Keywords

Citation

Ji, P., Zhang, J., Zou, H. and Zheng, W. (2011), "A modified unbiased GM(1,1) model", Grey Systems: Theory and Application, Vol. 1 No. 3, pp. 192-201. https://doi.org/10.1108/20439371111181206

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Publisher

:

Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited

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