手法を比較

	ARCHモデル（Autoregressive Conditional Heteroskedasticity）	ベクトル自己回帰 (VAR)
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	1982	1980
提唱者	Robert F. Engle	Christopher A. Sims
種類	Conditional volatility model	Multivariate time-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.	Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48.
別名	ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model	VAR, VAR model, vector autoregressive model, multivariate autoregression
関連	6	5
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.	Vector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance.