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Modelo GARCH Não Linear×Modelo ARIMA (Autoregressive Integrated Moving Average)×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem1991-19931970
Autor originalGlosten, Jagannathan & Runkle; Nelson (1991) for EGARCHGeorge Box and Gwilym Jenkins
TipoVolatility modelTime series forecasting model
Fonte seminalGlosten, 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 ↗
Outros nomesNL-GARCH, asymmetric GARCH, GJR-GARCH, nonlinear volatility modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relacionados66
ResumoThe 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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ScholarGateComparar métodos: Nonlinear GARCH model · ARIMA model. Recuperado em 2026-06-17 de https://scholargate.app/pt/compare