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| VAR s pragom i VAR s glatkom tranzicijom (TVAR / STVAR)× | ARCH-LM Test za klasteriranje volatilnosti× | Markovljev model promjene režima (MS-AR / MS-VAR)× | |
|---|---|---|---|
| Područje | Ekonometrija | Ekonometrija | Ekonometrija |
| Obitelj | Regression model | Regression model | Regression model |
| Godina nastanka≠ | 1998 | 1982 | 1989 |
| Tvorac≠ | Tsay (multivariate threshold modelling) | Robert F. Engle | Hamilton (1989); Kim & Nelson (1999) |
| Vrsta≠ | Nonlinear multivariate time-series model | Lagrange multiplier diagnostic test for conditional heteroscedasticity | Regime-switching time series model |
| Temeljni izvor≠ | Tsay, R. S. (1998). Testing and Modeling Multivariate Threshold Models. Journal of the American Statistical Association, 93(443), 1188-1202. DOI ↗ | Engle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50(4), 987-1007. 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 ↗ |
| Drugi nazivi≠ | TVAR, STVAR, regime-switching VAR, threshold VAR | ARCH-LM Testi ve Volatilite Kümelenmesi Analizi, ARCH LM test, Engle's ARCH test, test for autoregressive conditional heteroscedasticity | regime-switching model, Markov-switching autoregression, MS-AR, MS-VAR |
| Srodne≠ | 5 | 6 | 5 |
| Sažetak≠ | Threshold VAR and Smooth-Transition VAR are nonlinear multivariate time-series models in which the coefficients of a vector autoregression switch between regimes according to a threshold variable. Building on Tsay's 1998 treatment of multivariate threshold models, they capture different dynamic structures across phases such as the business cycle, financial crises, or policy differences. | The 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. | 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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