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SARIMA (Seasonal ARIMA)×STL अपघटन: Loess का उपयोग करके मौसमी-प्रवृत्ति अपघटन×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelProcess / pipeline
उद्भव वर्ष20151990
प्रवर्तकBox & Jenkins (seasonal extension of ARIMA)Cleveland, Cleveland, McRae & Terpenning
प्रकारSeasonal time-series modelnonparametric iterative smoother
मौलिक स्रोतBox, 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 ↗
उपनामseasonal ARIMA, Box-Jenkins seasonal model, SARIMA — Mevsimsel ARIMASeasonal-Trend Decomposition using Loess, STL filtering, Loess-based seasonal decomposition, Mevsimsel-Trend Ayrıştırma (STL)
संबंधित53
सारांशSARIMA 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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