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自回归积分滑动平均模型 (ARIMA)×Bai-Perron 多重结构断点检验×SARIMA模型×
领域计量经济学计量经济学计量经济学
方法族Regression modelHypothesis testRegression model
起源年份197019981970 (first edition); 1976 (revised)
提出者George Box and Gwilym JenkinsJushan Bai & Pierre PerronBox, Jenkins, and Reinsel
类型Time series forecasting modelSequential hypothesis test for multiple structural breaksSeasonal time series model
开创性文献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
别名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 TestiSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
相关625
摘要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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ScholarGate方法对比: ARIMA model · Bai-Perron Test · SARIMA model. 于 2026-06-18 检索自 https://scholargate.app/zh/compare