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Modelo ARIMA (Autoregressive Integrated Moving Average)×Modelo GARCH (Previsão de Volatilidade)×Modelo SARIMA×
ÁreaEconometriaEconometriaEconometria
FamíliaRegression modelRegression modelRegression model
Ano de origem197019861970 (first edition); 1976 (revised)
Autor originalGeorge Box and Gwilym JenkinsTim BollerslevBox, Jenkins, and Reinsel
TipoTime series forecasting modelConditional volatility modelSeasonal time series model
Fonte seminalBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
Outros nomesARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)SARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
Relacionados655
ResumoThe 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.The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series.SARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.
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ScholarGateComparar métodos: ARIMA model · GARCH Model · SARIMA model. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare