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GJR-GARCH (不对称 GARCH)×自回归条件异方差 (ARCH) 模型×ARIMA(自回归积分滑动平均)模型×
领域计量经济学计量经济学计量经济学
方法族Regression modelRegression modelRegression model
起源年份199319822015
提出者Glosten, Jagannathan & Runkle (1993); Zakoian (1994)Robert F. EngleBox & Jenkins (Box-Jenkins methodology)
类型Asymmetric conditional volatility modelConditional volatility modelUnivariate time-series model
开创性文献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 ↗Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021
别名asymmetric GARCH, leverage GARCH, TGARCH, GJR-GARCH — Asimetrik GARCH (Glosten-Jagannathan-Runkle)ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
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摘要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 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.ARIMA 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).
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ScholarGate方法对比: GJR-GARCH · ARCH model · ARIMA. 于 2026-06-20 检索自 https://scholargate.app/zh/compare