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| Mô hình SARIMA có điểm đứt gãy cấu trúc× | Mô hình ARIMA (Autoregressive Integrated Moving Average)× | Kiểm định Bai-Perron về nhiều điểm phá vỡ cấu trúc× | Mô hình SARIMA× | |
|---|---|---|---|---|
| Lĩnh vực | Kinh tế lượng | Kinh tế lượng | Kinh tế lượng | Kinh tế lượng |
| Họ≠ | Regression model | Regression model | Hypothesis test | Regression model |
| Năm ra đời≠ | 1970s–1998 | 1970 | 1998 | 1970 (first edition); 1976 (revised) |
| Người khởi xướng≠ | Box & Jenkins (SARIMA); Bai & Perron (structural break detection) | George Box and Gwilym Jenkins | Jushan Bai & Pierre Perron | Box, Jenkins, and Reinsel |
| Loại≠ | Time series model with regime shifts | Time series forecasting model | Sequential hypothesis test for multiple structural breaks | Seasonal time series model |
| Công trình gốc≠ | Bai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78. DOI ↗ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Bai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78. 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 |
| Tên gọi khác | SARIMA with structural breaks, break-augmented SARIMA, piecewise SARIMA, SARIMA-SB | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | Bai-Perron Multiple Break Test, Multiple Structural Change Test, Sequential Structural Break Test, Çoklu Yapısal Kırılma Testi | SARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component |
| Liên quan≠ | 3 | 6 | 2 | 5 |
| Tóm tắt≠ | The Structural Break SARIMA model extends the classical Seasonal ARIMA framework by explicitly detecting and accommodating abrupt, permanent shifts in the level, trend, or seasonal pattern of a time series. Rather than forcing a single SARIMA specification across the entire sample, the model partitions the series at estimated breakpoints and fits separate SARIMA processes to each resulting segment, producing more accurate forecasts and reliable inference in the presence of regime changes. | 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 Bai-Perron test, introduced by Jushan Bai and Pierre Perron in their landmark 1998 Econometrica paper, is a least-squares-based procedure for detecting, estimating, and testing the number of structural breaks in a linear regression model estimated on time-series data. Unlike single-break tests, it simultaneously identifies multiple change-points in a sample, providing economists and empirical researchers with a rigorous, data-driven way to locate parameter instability across time. | 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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