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Model ARIMA (Autoregressive Integrated Moving Average)×Uji Bai-Perron Berganda untuk Perubahan Struktural×Model SARIMA×
BidangEkonometrikaEkonometrikaEkonometrika
KeluargaRegression modelHypothesis testRegression model
Tahun asal197019981970 (first edition); 1976 (revised)
PencetusGeorge Box and Gwilym JenkinsJushan Bai & Pierre PerronBox, Jenkins, and Reinsel
TipeTime series forecasting modelSequential hypothesis test for multiple structural breaksSeasonal time series model
Sumber perintisBox, 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
AliasARIMA, 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
Terkait625
RingkasanThe 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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ScholarGateBandingkan metode: ARIMA model · Bai-Perron Test · SARIMA model. Diakses 2026-06-18 dari https://scholargate.app/id/compare