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| 非線形TGARCHモデル× | ARCHモデル(Autoregressive Conditional Heteroskedasticity)× | GARCHモデル(ボラティリティ予測)× | |
|---|---|---|---|
| 分野 | 計量経済学 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model | Regression model |
| 提唱年≠ | 1993–1994 | 1982 | 1986 |
| 提唱者≠ | Jean-Michel Zakoian; related work by Glosten, Jagannathan & Runkle | Robert F. Engle | Tim Bollerslev |
| 種類≠ | Conditional heteroskedasticity model | Conditional volatility model | Conditional volatility model |
| 原典≠ | Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931–955. DOI ↗ | 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 | NL-TGARCH, Nonlinear Threshold GARCH, Asymmetric TGARCH, GJR-GARCH variant | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| 関連≠ | 4 | 6 | 5 |
| 概要≠ | The Nonlinear TGARCH (Threshold GARCH) model extends the standard GARCH framework by allowing positive and negative shocks of equal magnitude to exert different effects on future volatility. It models conditional volatility in terms of the absolute value of lagged residuals split by a sign threshold, capturing the well-documented leverage effect in financial return series. | The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering. | The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series. |
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