Comparar métodos
Revisa los métodos seleccionados uno junto a otro; las filas que difieren aparecen resaltadas.
| Modelo ARIMA (Autoregressive Integrated Moving Average)× | Modelo ARMA (Autoregresivo de Media Móvil)× | Modelo de Media Móvil (MA)× | |
|---|---|---|---|
| Campo | Econometría | Econometría | Econometría |
| Familia | Regression model | Regression model | Regression model |
| Año de origen | 1970 | 1970 | 1970 |
| Autor original≠ | George Box and Gwilym Jenkins | George E. P. Box and Gwilym M. Jenkins | Box and Jenkins |
| Tipo≠ | Time series forecasting model | Time series model | Linear time series model |
| Fuente seminal≠ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744 |
| Alias | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) | MA model, MA(q) process, moving-average process, Box-Jenkins MA |
| Relacionados≠ | 6 | 5 | 5 |
| Resumen≠ | 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. | The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting. | The Moving Average model of order q — written MA(q) — expresses the current value of a time series as a linear combination of the current and past random shocks (innovations). Unlike the AR model which uses lagged values of the series itself, the MA model uses lagged error terms, making it well-suited for capturing short-lived disturbances that dissipate over q periods. |
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