השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| מודל ARIMA (Autoregressive Integrated Moving Average)× | היסק בוטסטרפ× | מבחן דיבולד-מריאנו לדיוק חיזוי שווה× | |
|---|---|---|---|
| תחום≠ | אקונומטריקה | סטטיסטיקה | אקונומטריקה |
| משפחה≠ | Regression model | Regression model | Hypothesis test |
| שנת המקור≠ | 2015 | 1979 | 1995 |
| הוגה השיטה≠ | Box & Jenkins (Box-Jenkins methodology) | Bradley Efron | Francis Diebold & Roberto Mariano |
| סוג≠ | Univariate time-series model | Resampling-based inference | Non-parametric forecast comparison test |
| מקור מכונן≠ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Diebold, F. X., & Mariano, R. S. (1995). Comparing predictive accuracy. Journal of Business & Economic Statistics, 13(3), 253–263. DOI ↗ |
| כינויים≠ | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | DM Test, Test of Equal Forecast Accuracy, Diebold-Mariano Forecast Comparison Test, Tahmin Doğruluğu Eşitliği Testi |
| קשורות≠ | 5 | 5 | 3 |
| תקציר≠ | ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015). | Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples. | The Diebold-Mariano (DM) test, introduced by Diebold and Mariano in 1995, is a widely used non-parametric procedure for formally comparing the predictive accuracy of two competing forecasting models. It evaluates whether the difference in forecast errors between two models is statistically significant, without requiring nested models or specific distributional assumptions about the forecasts, making it broadly applicable across economics, finance, and time-series analysis. |
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