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장기기억 모형 (ARFIMA, FIGARCH)×최소제곱법(OLS) 회귀×
분야재무학계량경제학
계열Regression modelRegression model
기원 연도19802019
창시자Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Wooldridge (textbook treatment); classical least squares
유형Fractionally integrated 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
별칭ARFIMA, FIGARCH, fractionally integrated models, fractional integrationordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련45
요약Long-memory models are fractional-integration methods that capture genuine long memory through a hyperbolically decaying autocorrelation structure. ARFIMA, introduced by Granger and Joyeux (1980), models long memory in return series, while FIGARCH, introduced by Baillie, Bollerslev and Mikkelsen (1996), captures long memory in volatility series; the parameter d measures the degree of fractional integration.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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