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Robustní model ARMA×Model ARMA (Autoregressive Moving Average)×
OborEkonometrieEkonometrie
RodinaRegression modelRegression model
Rok vzniku19861970
TvůrceMartin & Yohai (1986); broader robust time series literatureGeorge E. P. Box and Gwilym M. Jenkins
TypRobust time series modelTime series model
Původní zdrojFranses, P. H., & Ghijsels, H. (1999). Additive outliers, GARCH and forecasting volatility. International Journal of Forecasting, 15(1), 1-9. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Další názvyrobust ARMA, outlier-robust ARMA, M-estimator ARMA, resistant ARMA estimationARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Příbuzné55
ShrnutíThe Robust ARMA model extends the classical Autoregressive Moving Average framework by replacing the sensitive least-squares loss with outlier-resistant estimation methods — typically M-estimators or median-based approaches. This protects coefficient estimates and forecasts from being distorted by additive outliers, level shifts, or innovational outliers that are common in economic and financial time series.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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ScholarGatePorovnat metody: Robust ARMA Model · ARMA model. Získáno 2026-06-15 z https://scholargate.app/cs/compare