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ARCH-LM-testen for volatilitetsclustering×GJR-GARCH (Asymmetrisk GARCH)×Markov regime-switching model (MS-AR / MS-VAR)×
FagområdeØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression model
Oprindelsesår198219931989
OphavspersonRobert F. EngleGlosten, Jagannathan & Runkle (1993); Zakoian (1994)Hamilton (1989); Kim & Nelson (1999)
TypeLagrange multiplier diagnostic test for conditional heteroscedasticityAsymmetric conditional volatility modelRegime-switching time series model
Oprindelig kildeEngle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50(4), 987-1007. DOI ↗Glosten, L. R., Jagannathan, R. & Runkle, D. E. (1993). On the Relation Between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. The Journal of Finance, 48(5), 1779-1801. DOI ↗Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357-384. DOI ↗
AliasserARCH-LM Testi ve Volatilite Kümelenmesi Analizi, ARCH LM test, Engle's ARCH test, test for autoregressive conditional heteroscedasticityasymmetric GARCH, leverage GARCH, TGARCH, GJR-GARCH — Asimetrik GARCH (Glosten-Jagannathan-Runkle)regime-switching model, Markov-switching autoregression, MS-AR, MS-VAR
Relaterede655
ResuméThe ARCH-LM test is Robert Engle's (1982) Lagrange multiplier diagnostic for autoregressive conditional heteroscedasticity in the residuals of a fitted time-series model. It checks whether the error variance changes over time and clusters into calm and turbulent periods, and it is the standard pre-test run before fitting a GARCH-family volatility model.GJR-GARCH is a variant of the GARCH conditional-volatility model that captures the asymmetric effect of negative shocks on volatility using an indicator variable. It was introduced by Glosten, Jagannathan and Runkle (1993), with a closely related threshold formulation by Zakoian (1994).The Markov regime-switching model lets the parameters of a time series change probabilistically across hidden regimes governed by a Markov chain. Introduced by Hamilton (1989) and developed further by Kim and Nelson (1999), it automatically detects business-cycle phases such as expansions and contractions.
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ScholarGateSammenlign metoder: ARCH-LM Test · GJR-GARCH · Markov-Switching Model. Hentet 2026-06-20 fra https://scholargate.app/da/compare