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एक्सपोनेंशियल GARCH (EGARCH)×ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×सामान्यीकृत ऑटोरेग्रेसिव कंडीशनल हेटेरोस्केडैस्टिसिटी (GARCH)×TBATS×
क्षेत्रअर्थमितिअर्थमितिअर्थमितिअर्थमिति
परिवारRegression modelRegression modelRegression modelRegression model
उद्भव वर्ष1991201519862011
प्रवर्तकNelsonBox & Jenkins (Box-Jenkins methodology)Tim BollerslevDe Livera, Hyndman & Snyder
प्रकारConditional volatility model (asymmetric GARCH variant)Univariate time-series modelConditional volatility modelExponential smoothing state space model
मौलिक स्रोतNelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗De Livera, A. M., Hyndman, R. J. & Snyder, R. D. (2011). Forecasting Time Series with Complex Seasonal Patterns Using Exponential Smoothing. Journal of the American Statistical Association, 106(496), 1513-1527. DOI ↗
उपनामexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliGARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modelitrigonometric exponential smoothing, multiple seasonal exponential smoothing, complex seasonal exponential smoothing, TBATS — Çoklu Mevsimsel Üstel Düzleştirme
संबंधित4553
सारांशEGARCH 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.ARIMA 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).GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.TBATS is an innovations state space forecasting model, introduced by De Livera, Hyndman and Snyder (2011), that combines a Box-Cox transformation, ARMA errors and trigonometric (Fourier) seasonal terms. It is built to handle continuous time series with several nested seasonal cycles at once — for example hourly data that also repeats daily, weekly and yearly.
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ScholarGateविधियों की तुलना करें: EGARCH · ARIMA · GARCH · TBATS. 2026-06-20 को यहाँ से प्राप्त https://scholargate.app/hi/compare