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Robust ARCH Model×ইগার্চ মডেল (এক্সপোনেনশিয়াল GARCH)×কোয়ান্টাইল রিগ্রেশন×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর2002–200819911978
প্রবর্তকEngle (1982) for ARCH; robust variants developed by Muler, Yohai, and others from the early 2000sDaniel B. NelsonKoenker & Bassett
ধরনVolatility / conditional heteroscedasticity modelVolatility / conditional variance modelConditional quantile regression
মৌলিক উৎসEngle, 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 ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
অপর নামrobust ARCH, outlier-robust ARCH, heavy-tailed ARCH, robust conditional volatility modelExponential GARCH, EGARCH, Nelson EGARCH, log-GARCHconditional quantile regression, regression quantiles, Kantil Regresyon
সম্পর্কিত665
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 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.Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateপদ্ধতির তুলনা করুন: Robust ARCH model · EGARCH model · Quantile Regression. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare