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ARIMA (Autoregressive Integrated Moving Average) মডেল×শর্তাধীন ঝুঁকি-মূল্য (প্রত্যাশিত ঘাটতি)×এক্সপোনেনশিয়াল GARCH (EGARCH)×Realized Volatility এবং HAR মডেল×
ক্ষেত্রঅর্থমিতিঅর্থায়নঅর্থমিতিঅর্থায়ন
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর2015200019912009
প্রবর্তকBox & Jenkins (Box-Jenkins methodology)Rockafellar & Uryasev (2000); Acerbi & Tasche (2002)NelsonCorsi (HAR model); Andersen, Bollerslev, Diebold & Labys (realized volatility)
ধরনUnivariate time-series modelCoherent tail-risk measureConditional volatility model (asymmetric GARCH variant)Time-series regression of realized variance
মৌলিক উৎসBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Rockafellar, R. T. & Uryasev, S. (2000). Optimization of Conditional Value-at-Risk. Journal of Risk, 2(3), 21-41. DOI ↗Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Corsi, F. (2009). A Simple Approximate Long-Memory Model of Realized Volatility. Journal of Financial Econometrics, 7(2), 174-196. DOI ↗
অপর নামBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliCVaR, expected shortfall, average value-at-risk, tail VaRexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHrealized variance, HAR model, heterogeneous autoregressive model of realized volatility, HAR-RV
সম্পর্কিত5545
সারসংক্ষেপARIMA 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).Conditional Value-at-Risk (CVaR), also called Expected Shortfall, is a coherent tail-risk measure that quantifies the conditional expectation of losses beyond the Value-at-Risk threshold. It was introduced for optimization by Rockafellar and Uryasev (2000) and shown to be coherent by Acerbi and Tasche (2002), and it has replaced VaR as the regulatory standard under Basel III/IV.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.Realized volatility estimates an asset's variance directly from high-frequency intraday returns rather than from a parametric latent process. The Heterogeneous Autoregressive (HAR) model of Corsi (2009), building on the realized-volatility framework of Andersen, Bollerslev, Diebold and Labys (2003), forecasts this measure by combining daily, weekly, and monthly volatility components, and is a strong alternative to GARCH for volatility prediction.
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ScholarGateপদ্ধতির তুলনা করুন: ARIMA · Conditional Value-at-Risk · EGARCH · Realized Volatility. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare