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Mifumo ya Kumbukumbu-Ndefu (ARFIMA, FIGARCH)×Mfumo wa ARIMA (Autoregressive Integrated Moving Average)×Urejeshaji wa Njia ya Viwango Vidogo vya Kawaida (OLS)×
NyanjaFedhaEkonometrikiEkonometriki
FamiliaRegression modelRegression modelRegression model
Mwaka wa asili198020152019
MwanzilishiGranger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Box & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squares
AinaFractionally integrated time series modelUnivariate time-series modelLinear regression
Chanzo asiliaGranger, 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
Majina mbadalaARFIMA, 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
Zinazohusiana455
MuhtasariLong-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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ScholarGateLinganisha mbinu: Long-Memory Models · ARIMA · OLS Regression. Imepatikana 2026-06-18 kutoka https://scholargate.app/sw/compare