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Modelo de Pronóstico Gris GM(1,1)×Modelo ARIMA (Autoregressive Integrated Moving Average)×
CampoComputación blandaEconometría
FamiliaRegression modelRegression model
Año de origen19822015
Autor originalJulong DengBox & Jenkins (Box-Jenkins methodology)
TipoSmall-sample grey forecasting modelUnivariate time-series model
Fuente seminalDeng, 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
AliasGM(1,1), grey prediction model, grey forecasting, gri tahmin modeliBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
Relacionados25
ResumenGM(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).
ScholarGateConjunto de datos
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ScholarGateComparar métodos: GM(1,1) Grey Forecasting · ARIMA. Recuperado el 2026-06-18 de https://scholargate.app/es/compare