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שיטת תטא×מודל ARIMA (Autoregressive Integrated Moving Average)×ETS: שגיאה, מגמה, החלקה אקספוננציאלית עונתית×רגרסיית ריבועים פחותים רגילים (OLS)×
תחוםאקונומטריקהאקונומטריקהאקונומטריקהאקונומטריקה
משפחהRegression modelRegression modelRegression modelRegression model
שנת המקור2000201520082019
הוגה השיטהAssimakopoulos & NikolopoulosBox & Jenkins (Box-Jenkins methodology)Hyndman, Koehler, Ord & Snyder (state space framework)Wooldridge (textbook treatment); classical least squares
סוגUnivariate time-series forecasting modelUnivariate time-series modelExponential smoothing state space modelLinear regression
מקור מכונןAssimakopoulos, V. & Nikolopoulos, K. (2000). The Theta Model: A Decomposition Approach to Forecasting. International Journal of Forecasting, 16(4), 521-530. 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: 978-1118675021Hyndman, R. J., Koehler, A. B., Ord, J. K. & Snyder, R. D. (2008). Forecasting with Exponential Smoothing: The State Space Approach. Springer. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
כינוייםtheta model, theta forecasting, Theta Yöntemi — M3 Tahmin Yarışması BirincisiBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential smoothing state space model, innovations state space model, Holt-Winters family, ETS — Hata/Trend/Mevsimsellik Üstel Düzleştirmeordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
קשורות4555
תקצירThe Theta Method is a univariate time-series forecasting model introduced by Assimakopoulos and Nikolopoulos in 2000. It decomposes a series into two theta lines that capture its long-run trend and its short-run dynamics, forecasts each line separately, and combines them by a weighted average. Its simplicity and accuracy made it the winner of the M3 forecasting competition.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).ETS is a comprehensive exponential smoothing framework that automatically selects additive or multiplicative combinations of the error (E), trend (T) and seasonal (S) components of a time series. Formalised as an innovations state space model by Hyndman, Koehler, Ord and Snyder in 2008, it unifies and generalises the Holt-Winters family of forecasting methods.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateהשוואת שיטות: Theta Method · ARIMA · ETS Model · OLS Regression. אוחזר בתאריך 2026-06-18 מתוך https://scholargate.app/he/compare