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Theta-metoden×ETS: Eksponentiel udjævning med fejl, trend og sæsonudsving×Holt-Winters tredobbelt eksponentiel udjævning×Almindelig mindste kvadraters metode (OLS) regression×
FagområdeØkonometriØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression modelRegression model
Oprindelsesår2000200819602019
OphavspersonAssimakopoulos & NikolopoulosHyndman, Koehler, Ord & Snyder (state space framework)Charles C. Holt and Peter R. WintersWooldridge (textbook treatment); classical least squares
TypeUnivariate time-series forecasting modelExponential smoothing state space modelExponential smoothing forecasting modelLinear regression
Oprindelig kildeAssimakopoulos, V. & Nikolopoulos, K. (2000). The Theta Model: A Decomposition Approach to Forecasting. International Journal of Forecasting, 16(4), 521-530. DOI ↗Hyndman, R. J., Koehler, A. B., Ord, J. K. & Snyder, R. D. (2008). Forecasting with Exponential Smoothing: The State Space Approach. Springer. DOI ↗Winters, P. R. (1960). Forecasting Sales by Exponentially Weighted Moving Averages. Management Science, 6(3), 324-342. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Aliassertheta model, theta forecasting, Theta Yöntemi — M3 Tahmin Yarışması Birincisiexponential smoothing state space model, innovations state space model, Holt-Winters family, ETS — Hata/Trend/Mevsimsellik Üstel Düzleştirmetriple exponential smoothing, Winters' method, Holt-Winters seasonal method, Holt-Winters Üçlü Üstel Düzleştirmeordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Relaterede4545
ResuméThe 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.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.Holt-Winters triple exponential smoothing is a forecasting model that extends Holt's double smoothing by adding a seasonal component, introduced by Peter Winters in 1960 building on Charles Holt's work. It tracks three evolving quantities — level, trend, and season — and combines them to forecast a continuous time series.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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ScholarGateSammenlign metoder: Theta Method · ETS Model · Holt-Winters · OLS Regression. Hentet 2026-06-18 fra https://scholargate.app/da/compare