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| ARCH-LM検定（ボラティリティ・クラスタリングのため）× | 一般化自己回帰条件付き分散 (GARCH)× | |
|---|---|---|
| 分野 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1982 | 1986 |
| 提唱者≠ | Robert F. Engle | Tim Bollerslev |
| 種類≠ | Lagrange multiplier diagnostic test for conditional heteroscedasticity | Conditional volatility model |
| 原典≠ | Engle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50(4), 987-1007. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗ |
| 別名≠ | ARCH-LM Testi ve Volatilite Kümelenmesi Analizi, ARCH LM test, Engle's ARCH test, test for autoregressive conditional heteroscedasticity | GARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeli |
| 関連≠ | 6 | 5 |
| 概要≠ | 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. | GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns. |
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