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ARFIMA: Модел с дробно интегрирани ARMA×Логистична регресия×Метод на най-малките квадрати (МНК)×Квантилна регресия×
ОбластИконометрияСтатистика за изследванияИконометрияИконометрия
СемействоRegression modelProcess / pipelineRegression modelRegression model
Година на възникване1980195820191978
СъздателGranger & Joyeux (1980); Hosking (1981)David Roxbee CoxWooldridge (textbook treatment); classical least squaresKoenker & Bassett
ТипLong-memory time series modelMethodLinear regressionConditional quantile regression
Основополагащ източникGranger, 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 ↗
Други названияfractionally 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
Свързани5355
РезюмеARFIMA 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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ScholarGateСравнение на методи: ARFIMA Model · Logistic Regression · OLS Regression · Quantile Regression. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare