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শক্তিশালী GARCH মডেল×অটো রিগ্রেসিভ কন্ডিশনাল হেটেরোস্কেডাস্টিসিটি (ARCH) মডেল×ইগার্চ মডেল (এক্সপোনেনশিয়াল GARCH)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর1986–201319821991
প্রবর্তকBoudt, Danielsson & Laurent (robust extensions); Bollerslev (standard GARCH, 1986)Robert F. EngleDaniel B. Nelson
ধরনVolatility modelConditional volatility modelVolatility / conditional variance model
মৌলিক উৎসBoudt, K., Danielsson, J., & Laurent, S. (2013). Robust forecasting of dynamic conditional correlation GARCH models. International Journal of Forecasting, 29(2), 244–257. DOI ↗Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗
অপর নামRobust GARCH, outlier-robust GARCH, heavy-tail GARCH, contamination-robust volatility modelARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelExponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
সম্পর্কিত566
সারসংক্ষেপThe Robust GARCH model extends the classical GARCH framework to handle outliers and heavy-tailed innovations that commonly appear in financial return series. By down-weighting extreme observations through a robust innovation term, it produces more reliable volatility forecasts when data contain jumps, crises, or other anomalies that would otherwise distort standard GARCH estimates.The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.The Exponential GARCH (EGARCH) model, introduced by Nelson (1991), extends the standard GARCH framework by modelling the logarithm of conditional variance. This ensures variance is always positive without parameter constraints and, crucially, allows negative and positive shocks to have asymmetric effects on volatility — capturing the well-known leverage effect in financial markets.
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ScholarGateপদ্ধতির তুলনা করুন: Robust GARCH model · ARCH model · EGARCH model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare