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Model ARIMA Tak Linear×Model ARIMA (Autoregressive Integrated Moving Average)×Model GARCH (Peramalan Volatiliti)×
BidangEkonometrikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal1978-199419701986
PengasasHowell Tong (SETAR/TAR framework); Timo Terasvirta (STAR extensions)George Box and Gwilym JenkinsTim Bollerslev
JenisNonlinear time series modelTime series forecasting modelConditional volatility model
Sumber perintisTong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522249Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
Aliasnonlinear ARIMA, NARIMA, nonlinear time series model, nonlinear Box-Jenkins modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Berkaitan365
RingkasanThe Nonlinear ARIMA model extends the classical Box-Jenkins ARIMA framework by allowing the conditional mean of a time series to depend on past values and past errors through a nonlinear function. It encompasses families such as Threshold AR (TAR/SETAR), Smooth Transition AR (STAR/LSTAR/ESTAR), and Markov-switching models, capturing asymmetric dynamics, regime changes, and business-cycle asymmetries that linear ARIMA cannot represent.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series.
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ScholarGateBandingkan kaedah: Nonlinear ARIMA model · ARIMA model · GARCH Model. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare