השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| מודל ממוצע נע (MA)× | מודל ARIMA (Autoregressive Integrated Moving Average)× | מודל ARMA (אוטורגרסיבי ממוצע נע)× | |
|---|---|---|---|
| תחום | אקונומטריקה | אקונומטריקה | אקונומטריקה |
| משפחה | Regression model | Regression model | Regression model |
| שנת המקור | 1970 | 1970 | 1970 |
| הוגה השיטה≠ | Box and Jenkins | George Box and Gwilym Jenkins | George E. P. Box and Gwilym M. Jenkins |
| סוג≠ | Linear time series model | Time series forecasting model | Time series model |
| מקור מכונן≠ | Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744 | 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 ↗ |
| כינויים | MA model, MA(q) process, moving-average process, Box-Jenkins MA | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) |
| קשורות≠ | 5 | 6 | 5 |
| תקציר≠ | 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. | 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. |
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