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ARIMA(自己回帰和分移動平均)モデル×最小二乗法 (OLS) 回帰×ベクトル自己回帰(VAR)モデル×
分野計量経済学計量経済学計量経済学
系統Regression modelRegression modelRegression model
提唱年201520192005
提唱者Box & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squaresLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
種類Univariate time-series modelLinear regressionMultivariate time-series model
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: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
別名Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuvector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
関連554
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).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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ScholarGate手法を比較: ARIMA · OLS Regression · VAR Model. 2026-06-18に以下より取得 https://scholargate.app/ja/compare