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מודל חיזוי אפור GM(1,1)×מודל ARIMA (Autoregressive Integrated Moving Average)×
תחוםמחשוב רךאקונומטריקה
משפחהRegression modelRegression model
שנת המקור19822015
הוגה השיטהJulong DengBox & Jenkins (Box-Jenkins methodology)
סוגSmall-sample grey forecasting modelUnivariate time-series model
מקור מכונןDeng, 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
כינוייםGM(1,1), grey prediction model, grey forecasting, gri tahmin modeliBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
קשורות25
תקצירGM(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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ScholarGateהשוואת שיטות: GM(1,1) Grey Forecasting · ARIMA. אוחזר בתאריך 2026-06-18 מתוך https://scholargate.app/he/compare