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| SARIMA (Seasonal ARIMA)× | Prophet× | SARIMAX× | |
|---|---|---|---|
| Bidang | Ekonometrik | Ekonometrik | Ekonometrik |
| Keluarga | Regression model | Regression model | Regression model |
| Tahun asal≠ | 2015 | 2018 | 2015 |
| Pengasas≠ | Box & Jenkins (seasonal extension of ARIMA) | Taylor & Letham (Facebook/Meta) | Box & Jenkins (ARIMA framework); SARIMAX extension with exogenous regressors |
| Jenis≠ | Seasonal time-series model | Decomposable (structural) time series model | Seasonal time-series regression model |
| Sumber perintis≠ | 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 | Taylor, S. J. & Letham, B. (2018). Forecasting at Scale. The American Statistician, 72(1), 37-45. DOI ↗ | Hyndman, R. J. & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗ |
| Alias≠ | seasonal ARIMA, Box-Jenkins seasonal model, SARIMA — Mevsimsel ARIMA | Prophet, Facebook Prophet, Meta Prophet, forecasting at scale | seasonal ARIMA with exogenous variables, SARIMA with regressors, ARIMAX, SARIMAX — Dışsal Değişkenli Mevsimsel ARIMA |
| Berkaitan≠ | 5 | 5 | 4 |
| Ringkasan≠ | SARIMA is a seasonal extension of the Box-Jenkins ARIMA model that adds seasonal differencing and seasonal autoregressive and moving-average terms. Developed within the Box, Jenkins, Reinsel and Ljung framework (5th edition, 2015), it forecasts series whose pattern repeats on a yearly, monthly, or weekly period. | Prophet is a Bayesian structural time series model introduced by Taylor and Letham at Facebook/Meta in 2018. It forecasts a continuous series by decomposing it into separate, interpretable trend, seasonality, and holiday components, and is designed to be approachable for analysts working at scale. | SARIMAX extends the seasonal ARIMA (Box-Jenkins) model by adding exogenous explanatory variables, so it can capture the effect of holidays, economic indicators, or policy variables on a time series. It combines non-seasonal and seasonal autoregressive and moving-average dynamics with external regressors, and is estimated by maximum likelihood in state-space form. |
| ScholarGateSet data ↗ |
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