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फूरियर GARCH मॉडल×डीसीसी-गार्ग मॉडल (डायनामिक कंडीशनल कोरिलेशन)×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष2000–20122002
प्रवर्तकLudlow & Enders (2000); extended by Enders & Lee (2012) Fourier frameworkRobert F. Engle
प्रकारVolatility modelMultivariate volatility model
मौलिक स्रोतLudlow, J., & Enders, W. (2000). Estimating non-linear ARMA models using Fourier coefficients. International Journal of Forecasting, 16(3), 333–347. DOI ↗Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. DOI ↗
उपनामFourier GARCH, Fourier-flexible GARCH, GARCH with Fourier terms, smooth-break GARCHDCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC
संबंधित55
सारांशThe Fourier GARCH model embeds trigonometric Fourier terms into a standard GARCH framework to capture smooth, gradual shifts in the conditional variance process without requiring knowledge of exact structural break dates. By approximating unknown break patterns with sinusoidal functions, it jointly models volatility clustering and time-varying unconditional variance.The DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series.
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  3. PUBLISHED

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