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ARFIMA: 분수 차분 ARMA 모형×최소제곱법(OLS) 회귀×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19802019
창시자Granger & Joyeux (1980); Hosking (1981)Wooldridge (textbook treatment); classical least squares
유형Long-memory time series modelLinear regression
원전Granger, 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
별칭fractionally integrated ARMA, long-memory time series model, ARFIMA / FIGARCH, fractional differencing modelordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련55
요약ARFIMA 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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