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Nelineárny model ARMA (NARMA)×Model ARCH (autoregresná podmienená heteroskedasticita)×Model ARMA (Autoregresívny kĺzavý priemer)×
OdborEkonometriaEkonometriaEkonometria
RodinaRegression modelRegression modelRegression model
Rok vzniku1980s–1990s19821970
TvorcaTong (1990); Granger & Terasvirta (1993)Robert F. EngleGeorge E. P. Box and Gwilym M. Jenkins
TypNonlinear time series modelConditional volatility modelTime series model
Pôvodný zdrojTong, 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 ↗
Ďalšie názvyNARMA, 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)
Príbuzné265
ZhrnutieThe 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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ScholarGatePorovnať metódy: Nonlinear ARMA model · ARCH model · ARMA model. Získané 2026-06-17 z https://scholargate.app/sk/compare