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ARIMA (autoregressiivne integreeritud liikuv keskmine) mudel×Tavaline vähimruutude (OLS) regressioon×Theta meetod×
ValdkondÖkonomeetriaÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression modelRegression model
Tekkeaasta201520192000
LoojaBox & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squaresAssimakopoulos & Nikolopoulos
TüüpUnivariate time-series modelLinear regressionUnivariate time-series forecasting model
AlgallikasBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Assimakopoulos, V. & Nikolopoulos, K. (2000). The Theta Model: A Decomposition Approach to Forecasting. International Journal of Forecasting, 16(4), 521-530. DOI ↗
RööpnimetusedBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonutheta model, theta forecasting, Theta Yöntemi — M3 Tahmin Yarışması Birincisi
Seotud554
KokkuvõteARIMA 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).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).The 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.
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ScholarGateVõrdle meetodeid: ARIMA · OLS Regression · Theta Method. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare