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ARCHモデル(Autoregressive Conditional Heteroskedasticity)×ARMAモデル(自己回帰移動平均)×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年19821970
提唱者Robert F. EngleGeorge E. P. Box and Gwilym M. Jenkins
種類Conditional volatility modelTime series 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 ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
別名ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
関連65
概要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 ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.
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ScholarGate手法を比較: ARCH model · ARMA model. 2026-06-17に以下より取得 https://scholargate.app/ja/compare