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Sammenlign metoder

Gjennomgå de valgte metodene side om side; rader som avviker, er uthevet.

ARIMA (Autoregressive Integrated Moving Average) Modell×Eksponentiell GARCH (EGARCH)×Ekstremverdi-teori (EVT)×
FagfeltØkonometriØkonometriFinans
FamilieRegression modelRegression modelRegression model
Opprinnelsesår201519912001
OpphavspersonBox & Jenkins (Box-Jenkins methodology)NelsonColes (textbook treatment); McNeil, Frey & Embrechts
TypeUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Tail / extreme-event model
Opprinnelig kildeBox, 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 ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598
AliasBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHEVT, generalized extreme value, generalized Pareto distribution, peaks over threshold
Relaterte545
SammendragARIMA 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.Extreme Value Theory is a statistical framework for modelling the rare events that live in the tail of a probability distribution. As developed in Coles (2001) and applied to risk by McNeil, Frey & Embrechts (2005), it offers two standard routes: the Generalized Extreme Value (GEV) distribution for block maxima and the Generalized Pareto Distribution (GPD), used in the peaks-over-threshold approach, for exceedances above a high threshold.
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ScholarGateSammenlign metoder: ARIMA · EGARCH · Extreme Value Theory. Hentet 2026-06-19 fra https://scholargate.app/no/compare