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থ্রেশহোল্ড GARCH (TGARCH) মডেল×অটো রিগ্রেসিভ কন্ডিশনাল হেটেরোস্কেডাস্টিসিটি (ARCH) মডেল×ইগার্চ মডেল (এক্সপোনেনশিয়াল GARCH)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর1993-199419821991
প্রবর্তকZakoian (1994); Glosten, Jagannathan & Runkle (1993)Robert F. EngleDaniel B. Nelson
ধরনAsymmetric volatility modelConditional volatility modelVolatility / conditional variance model
মৌলিক উৎসZakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. 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 নামThreshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCHARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelExponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
সম্পর্কিত666
সারসংক্ষেপThe Threshold GARCH (TGARCH) model extends the standard GARCH framework by allowing positive and negative return shocks to have asymmetric effects on conditional variance. Negative shocks — bad news — typically amplify volatility more than positive shocks of the same magnitude, a stylised fact known as the leverage effect. TGARCH captures this asymmetry through a threshold indicator that switches on when the previous period's shock was negative.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: TGARCH model · ARCH model · EGARCH model. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare