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| Model d'ARIMA (Autoregressive Integrated Moving Average)× | El Mètode Theta× | |
|---|---|---|
| Camp | Econometria | Econometria |
| Família | Regression model | Regression model |
| Any d'origen≠ | 2015 | 2000 |
| Autor original≠ | Box & Jenkins (Box-Jenkins methodology) | Assimakopoulos & Nikolopoulos |
| Tipus≠ | Univariate time-series model | Univariate time-series forecasting model |
| Font seminal≠ | 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 | Assimakopoulos, V. & Nikolopoulos, K. (2000). The Theta Model: A Decomposition Approach to Forecasting. International Journal of Forecasting, 16(4), 521-530. DOI ↗ |
| Àlies | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | theta model, theta forecasting, Theta Yöntemi — M3 Tahmin Yarışması Birincisi |
| Relacionats≠ | 5 | 4 |
| Resum≠ | 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). | 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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