השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| אימות צולב של סדרות עתיות (חלון מתגלגל/מתרחב)× | מודל ARIMA (Autoregressive Integrated Moving Average)× | היסק בוטסטרפ× | מבחן דיבולד-מריאנו לדיוק חיזוי שווה× | |
|---|---|---|---|---|
| תחום≠ | אקונומטריקה | אקונומטריקה | סטטיסטיקה | אקונומטריקה |
| משפחה≠ | Process / pipeline | Regression model | Regression model | Hypothesis test |
| שנת המקור≠ | 2012 | 2015 | 1979 | 1995 |
| הוגה השיטה≠ | Christoph Bergmeir & José Benítez | Box & Jenkins (Box-Jenkins methodology) | Bradley Efron | Francis Diebold & Roberto Mariano |
| סוג≠ | Forecast evaluation procedure | Univariate time-series model | Resampling-based inference | Non-parametric forecast comparison test |
| מקור מכונן≠ | Bergmeir, C., & Benítez, J. M. (2012). On the use of cross-validation for time series predictor evaluation. Information Sciences, 191, 192–213. DOI ↗ | 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≠ | Rolling-Origin Cross-Validation, Walk-Forward Validation, Expanding Window Evaluation, Zaman Serisi Çapraz Doğrulama | 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≠ | 3 | 5 | 5 | 3 |
| תקציר≠ | Time-series cross-validation is a resampling procedure designed for sequentially ordered data. Instead of randomly partitioning observations — which would destroy temporal structure and introduce data leakage — it advances a forecast origin one step at a time, fitting a model on all past data up to that origin and evaluating it on the immediately following out-of-sample period. Economists, financial analysts, and meteorologists use it whenever an honest, operationally realistic estimate of predictive accuracy is required for a time-ordered process. | 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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