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自己回帰和分移動平均モデル (ARIMA Model)×拡張ディッキー・フラー(ADF)単位根検定×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年19701979–1984
提唱者George Box and Gwilym JenkinsSaid & Dickey (1984); building on Dickey & Fuller (1979)
種類Time series forecasting modelHypothesis test (unit root)
原典Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Said, S. E., & Dickey, D. A. (1984). Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika, 71(3), 599–607. DOI ↗
別名ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ADF test, ADF unit root test, Dickey-Fuller test (augmented), Said-Dickey test
関連65
概要The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.The Augmented Dickey-Fuller test is the standard procedure for determining whether a univariate time series contains a unit root — that is, whether the series is non-stationary. It extends the original Dickey-Fuller test by including lagged difference terms that absorb serial correlation in the residuals, making the test valid for a wide range of time-series processes encountered in economics and finance.
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ScholarGate手法を比較: ARIMA model · Augmented Dickey-Fuller unit root test. 2026-06-17に以下より取得 https://scholargate.app/ja/compare