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ARIMA (autoregressiivne integreeritud liikuv keskmine) mudel×Generaliseeritud Autoregressiivne Tingimuslik Heteroskedastilisus (GARCH)×TBATS×
ValdkondÖkonomeetriaÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression modelRegression model
Tekkeaasta201519862011
LoojaBox & Jenkins (Box-Jenkins methodology)Tim BollerslevDe Livera, Hyndman & Snyder
TüüpUnivariate time-series modelConditional volatility modelExponential smoothing state space model
AlgallikasBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗De 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 ↗
RööpnimetusedBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliGARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modelitrigonometric exponential smoothing, multiple seasonal exponential smoothing, complex seasonal exponential smoothing, TBATS — Çoklu Mevsimsel Üstel Düzleştirme
Seotud553
KokkuvõteARIMA 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).GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.TBATS 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.
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ScholarGateVõrdle meetodeid: ARIMA · GARCH · TBATS. Loetud 2026-06-20 aadressilt https://scholargate.app/et/compare