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Model ARMA Tak Linear (NARMA)×Model ARCH (Heteroskedastisitas Bersyarat Autoregresif)×Model ARMA (Autoregresif Moving Average)×
BidangEkonometrikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal1980s–1990s19821970
PengasasTong (1990); Granger & Terasvirta (1993)Robert F. EngleGeorge E. P. Box and Gwilym M. Jenkins
JenisNonlinear time series modelConditional volatility modelTime series model
Sumber perintisTong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
AliasNARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving averageARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Berkaitan265
RingkasanThe Nonlinear ARMA (NARMA) model extends the classical linear ARMA framework by allowing the conditional mean to depend on past observations and past errors through an arbitrary nonlinear function. It captures complex dynamics — such as regime changes, asymmetric cycles, and threshold effects — that linear models miss, making it valuable for economic and financial time series.The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.
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ScholarGateBandingkan kaedah: Nonlinear ARMA model · ARCH model · ARMA model. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare