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TBATS×ARIMA (Autoregressive Integrated Moving Average) Modell×STL-dekomponering: Sesong-trend-dekomponering ved bruk av Loess×
FagfeltØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelProcess / pipeline
Opprinnelsesår201120151990
OpphavspersonDe Livera, Hyndman & SnyderBox & Jenkins (Box-Jenkins methodology)Cleveland, Cleveland, McRae & Terpenning
TypeExponential smoothing state space modelUnivariate time-series modelnonparametric iterative smoother
Opprinnelig kildeDe 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 ↗
Aliastrigonometric exponential smoothing, multiple seasonal exponential smoothing, complex seasonal exponential smoothing, TBATS — Çoklu Mevsimsel Üstel DüzleştirmeBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliSeasonal-Trend Decomposition using Loess, STL filtering, Loess-based seasonal decomposition, Mevsimsel-Trend Ayrıştırma (STL)
Relaterte353
SammendragTBATS 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.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).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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ScholarGateSammenlign metoder: TBATS · ARIMA · STL Decomposition. Hentet 2026-06-18 fra https://scholargate.app/no/compare