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GM(1,1) 灰色预测模型×ARIMA(自回归积分滑动平均)模型×
领域软计算计量经济学
方法族Regression modelRegression model
起源年份19822015
提出者Julong DengBox & Jenkins (Box-Jenkins methodology)
类型Small-sample grey forecasting modelUnivariate time-series model
开创性文献Deng, J. L. (1982). Control problems of grey systems. Systems & Control Letters, 1(5), 288–294. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021
别名GM(1,1), grey prediction model, grey forecasting, gri tahmin modeliBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
相关25
摘要GM(1,1) is the core forecasting model of grey system theory, introduced by Julong Deng in 1982, designed to predict from very few observations and incomplete information — situations where classical time-series models like ARIMA need far more data. It accumulates the raw series to expose a hidden exponential trend, fits a first-order grey differential equation, and projects future values, making it popular in engineering, energy, and management forecasting with short data records.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).
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ScholarGate方法对比: GM(1,1) Grey Forecasting · ARIMA. 于 2026-06-18 检索自 https://scholargate.app/zh/compare