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TBATS×Sezonski ARIMA (SARIMA)×STL dekompozicija: Sezonsko-trendna dekompozicija korišćenjem Loess-a×
OblastEkonometrijaEkonometrijaEkonometrija
PorodicaRegression modelRegression modelProcess / pipeline
Godina nastanka201120151990
TvoracDe Livera, Hyndman & SnyderBox & Jenkins (seasonal extension of ARIMA)Cleveland, Cleveland, McRae & Terpenning
TipExponential smoothing state space modelSeasonal time-series modelnonparametric iterative smoother
Temeljni izvorDe Livera, A. M., Hyndman, R. J. & Snyder, R. D. (2011). Forecasting Time Series with Complex Seasonal Patterns Using Exponential Smoothing. Journal of the American Statistical Association, 106(496), 1513-1527. DOI ↗Box, G.E.P., Jenkins, G.M., Reinsel, G.C. & Ljung, G.M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Cleveland, 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 ↗
Drugi nazivitrigonometric exponential smoothing, multiple seasonal exponential smoothing, complex seasonal exponential smoothing, TBATS — Çoklu Mevsimsel Üstel Düzleştirmeseasonal ARIMA, Box-Jenkins seasonal model, SARIMA — Mevsimsel ARIMASeasonal-Trend Decomposition using Loess, STL filtering, Loess-based seasonal decomposition, Mevsimsel-Trend Ayrıştırma (STL)
Srodne353
SažetakTBATS is an innovations state space forecasting model, introduced by De Livera, Hyndman and Snyder (2011), that combines a Box-Cox transformation, ARMA errors and trigonometric (Fourier) seasonal terms. It is built to handle continuous time series with several nested seasonal cycles at once — for example hourly data that also repeats daily, weekly and yearly.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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ScholarGateUporedite metode: TBATS · SARIMA · STL Decomposition. Preuzeto 2026-06-18 sa https://scholargate.app/sr/compare