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ARCH 모형 (자기회귀 조건부 이분산성)×ARIMA (Autoregressive Integrated Moving Average) 모형×GARCH 모형 (변동성 예측)×
분야계량경제학계량경제학계량경제학
계열Regression modelRegression modelRegression model
기원 연도198220151986
창시자Robert F. EngleBox & Jenkins (Box-Jenkins methodology)Tim Bollerslev
유형Conditional volatility modelUnivariate time-series modelConditional volatility model
원전Engle, 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: 978-1118675021Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
별칭ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
관련655
요약The 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).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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