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अरेखीय GARCH मॉडल×ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष1991-19931970
प्रवर्तकGlosten, Jagannathan & Runkle; Nelson (1991) for EGARCHGeorge Box and Gwilym Jenkins
प्रकारVolatility modelTime series forecasting model
मौलिक स्रोतGlosten, L. R., Jagannathan, R., & Runkle, D. E. (1993). On the relation between the expected value and the volatility of the nominal excess return on stocks. Journal of Finance, 48(5), 1779-1801. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
उपनामNL-GARCH, asymmetric GARCH, GJR-GARCH, nonlinear volatility modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
संबंधित66
सारांशThe Nonlinear GARCH model extends the standard GARCH framework to capture asymmetric and nonlinear responses of conditional volatility to past shocks. It allows negative returns (bad news) to amplify volatility more than positive returns of equal magnitude, a phenomenon known as the leverage effect, which is empirically pervasive in financial markets.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
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