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ARFIMA : Modèle ARMA à intégration fractionnaire×Régression par Moindres Carrés Ordinaires (MCO)×Régression quantile×
DomaineÉconométrieÉconométrieÉconométrie
FamilleRegression modelRegression modelRegression model
Année d'origine198020191978
Auteur d'origineGranger & Joyeux (1980); Hosking (1981)Wooldridge (textbook treatment); classical least squaresKoenker & Bassett
TypeLong-memory time series modelLinear regressionConditional quantile regression
Source fondatriceGranger, 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: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
Aliasfractionally integrated ARMA, long-memory time series model, ARFIMA / FIGARCH, fractional differencing modelordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
Apparentées555
RésuméARFIMA 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).Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateComparer des méthodes: ARFIMA Model · OLS Regression · Quantile Regression. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare