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ARFIMA : Modèle ARMA à intégration fractionnaire×Régression logistique×Régression par Moindres Carrés Ordinaires (MCO)×Régression quantile×
DomaineÉconométrieStatistiques de rechercheÉconométrieÉconométrie
FamilleRegression modelProcess / pipelineRegression modelRegression model
Année d'origine1980195820191978
Auteur d'origineGranger & Joyeux (1980); Hosking (1981)David Roxbee CoxWooldridge (textbook treatment); classical least squaresKoenker & Bassett
TypeLong-memory time series modelMethodLinear 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 ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. 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 modellogit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
Apparentées5355
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.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.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 · Logistic Regression · OLS Regression · Quantile Regression. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare