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GARCH×ARIMA (Autoregressive Integrated Moving Average) মডেল×এক্সপোনেনশিয়াল GARCH (EGARCH)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর198620151991
প্রবর্তকTim BollerslevBox & Jenkins (Box-Jenkins methodology)Nelson
ধরনConditional volatility modelUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)
মৌলিক উৎসBollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. 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: 978-1118675021Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗
অপর নামGARCH(1,1), generalized ARCH, conditional volatility model, GARCH ModeliBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH
সম্পর্কিত554
সারসংক্ষেপGARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.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).EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance.
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ScholarGateপদ্ধতির তুলনা করুন: GARCH · ARIMA · EGARCH. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare