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ARFIMA: 階差次数が分数であるARMAモデル×最小二乗法 (OLS) 回帰×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年19802019
提唱者Granger & Joyeux (1980); Hosking (1981)Wooldridge (textbook treatment); classical least squares
種類Long-memory time series modelLinear regression
原典Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15–29. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
別名fractionally integrated ARMA, long-memory time series model, ARFIMA / FIGARCH, fractional differencing modelordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
関連55
概要ARFIMA is a time series model that captures long-memory behaviour using a fractional differencing parameter d, generalising the integer differencing of ARIMA. It was introduced by Granger and Joyeux (1980) and formalised by Hosking (1981) to describe series whose autocorrelations decay slowly rather than abruptly.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).
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ScholarGate手法を比較: ARFIMA Model · OLS Regression. 2026-06-17に以下より取得 https://scholargate.app/ja/compare