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ARIMA(自回归积分滑动平均)模型×季节性ARIMA(SARIMA)×STL分解:使用Loess的季节-趋势分解×
领域计量经济学计量经济学计量经济学
方法族Regression modelRegression modelProcess / pipeline
起源年份201520151990
提出者Box & Jenkins (Box-Jenkins methodology)Box & Jenkins (seasonal extension of ARIMA)Cleveland, Cleveland, McRae & Terpenning
类型Univariate time-series modelSeasonal time-series modelnonparametric iterative smoother
开创性文献Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Box, G.E.P., Jenkins, G.M., Reinsel, G.C. & Ljung, G.M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Cleveland, R. B., Cleveland, W. S., McRae, J. E., & Terpenning, I. (1990). STL: A seasonal-trend decomposition procedure based on loess. Journal of Official Statistics, 6(1), 3–73. link ↗
别名Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeliseasonal ARIMA, Box-Jenkins seasonal model, SARIMA — Mevsimsel ARIMASeasonal-Trend Decomposition using Loess, STL filtering, Loess-based seasonal decomposition, Mevsimsel-Trend Ayrıştırma (STL)
相关553
摘要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).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.STL Decomposition, introduced by Cleveland, Cleveland, McRae, and Terpenning (1990), is a nonparametric procedure that separates a time series into three additive components — trend, seasonal, and remainder — using iterative locally weighted regression (loess). Widely used in economics, meteorology, and data science, it handles time series of any periodicity and is robust to the presence of outliers, making it a highly flexible alternative to classical decomposition methods.
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ScholarGate方法对比: ARIMA · SARIMA · STL Decomposition. 于 2026-06-19 检索自 https://scholargate.app/zh/compare