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장기기억 모형 (ARFIMA, FIGARCH)×GARCH 모형 (변동성 예측)×
분야재무학계량경제학
계열Regression modelRegression model
기원 연도19801986
창시자Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Tim Bollerslev
유형Fractionally integrated time series modelConditional volatility model
원전Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15-29. DOI ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
별칭ARFIMA, FIGARCH, fractionally integrated models, fractional integrationGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
관련45
요약Long-memory models are fractional-integration methods that capture genuine long memory through a hyperbolically decaying autocorrelation structure. ARFIMA, introduced by Granger and Joyeux (1980), models long memory in return series, while FIGARCH, introduced by Baillie, Bollerslev and Mikkelsen (1996), captures long memory in volatility series; the parameter d measures the degree of fractional integration.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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