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ARIMA-Modell (Autoregressive Integrated Moving Average)×Exponential GARCH (EGARCH)×Quantile Regression×
FachgebietÖkonometrieÖkonometrieÖkonometrie
FamilieRegression modelRegression modelRegression model
Entstehungsjahr201519911978
UrheberBox & Jenkins (Box-Jenkins methodology)NelsonKoenker & Bassett
TypUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Conditional quantile regression
Wegweisende QuelleBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
AliasnamenBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHconditional quantile regression, regression quantiles, Kantil Regresyon
Verwandt545
ZusammenfassungARIMA 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).EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance.Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateMethoden vergleichen: ARIMA · EGARCH · Quantile Regression. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare