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Моделі довгої пам'яті (ARFIMA, FIGARCH)×Модель ARIMA (Авторегресійна інтегрована ковзна середня)×Регресія звичайно найменших квадратів (ЗНК)×
ГалузьФінансиЕконометрикаЕконометрика
РодинаRegression modelRegression modelRegression model
Рік появи198020152019
Автор методуGranger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Box & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squares
ТипFractionally integrated time series modelUnivariate time-series modelLinear regression
Основоположне джерелоGranger, 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 ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Інші назвиARFIMA, FIGARCH, fractionally integrated models, fractional integrationBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Пов'язані455
ПідсумокLong-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.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).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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ScholarGateПорівняння методів: Long-Memory Models · ARIMA · OLS Regression. Отримано 2026-06-18 з https://scholargate.app/uk/compare