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Robust ARCH Model×অটো রিগ্রেসিভ কন্ডিশনাল হেটেরোস্কেডাস্টিসিটি (ARCH) মডেল×ইগার্চ মডেল (এক্সপোনেনশিয়াল GARCH)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর2002–200819821991
প্রবর্তকEngle (1982) for ARCH; robust variants developed by Muler, Yohai, and others from the early 2000sRobert F. EngleDaniel B. Nelson
ধরনVolatility / conditional heteroscedasticity modelConditional volatility modelVolatility / conditional variance model
মৌলিক উৎসEngle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. 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 ARCH, outlier-robust ARCH, heavy-tailed ARCH, robust conditional volatility modelARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelExponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
সম্পর্কিত666
সারসংক্ষেপThe Robust ARCH model extends the classical Autoregressive Conditional Heteroscedasticity framework by replacing the standard maximum-likelihood estimator with robust alternatives that downweight or eliminate the influence of outliers. This makes volatility estimates resistant to extreme observations that frequently contaminate financial and macroeconomic time series.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 ARCH model · ARCH model · EGARCH model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare