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ARIMA(自己回帰和分移動平均)モデル×ダービン-ワトソン検定による自己相関の検出×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年20151950
提唱者Box & Jenkins (Box-Jenkins methodology)James Durbin & Geoffrey Watson
種類Univariate time-series modelTest for first-order residual autocorrelation
原典Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗
別名Box-Jenkins model, ARIMA(p,d,q), ARIMA ModeliDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testi
関連54
概要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 Durbin-Watson test, developed by James Durbin and Geoffrey Watson in 1950–1951, detects first-order serial correlation in the residuals of a linear regression. Its statistic ranges from 0 to 4, with a value near 2 indicating no autocorrelation, values toward 0 indicating positive autocorrelation, and values toward 4 indicating negative autocorrelation. It remains one of the most reported regression diagnostics despite well-known limitations.
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ScholarGate手法を比較: ARIMA · Durbin-Watson Test. 2026-06-19に以下より取得 https://scholargate.app/ja/compare