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ARIMA-Modell (Autoregressives integriertes gleitendes Durchschnittsmodell)×Bai-Perron-Test für multiple strukturelle Brüche×Chow-Test auf Strukturbruch×
FachgebietÖkonometrieÖkonometrieÖkonometrie
FamilieRegression modelHypothesis testRegression model
Entstehungsjahr197019981960
UrheberGeorge Box and Gwilym JenkinsJushan Bai & Pierre PerronGregory C. Chow
TypTime series forecasting modelSequential hypothesis test for multiple structural breaksTest for structural break in regression coefficients
Wegweisende QuelleBox, 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 ↗Chow, G. C. (1960). Tests of equality between sets of coefficients in two linear regressions. Econometrica, 28(3), 591–605. DOI ↗
AliasnamenARIMA, 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 TestiChow breakpoint test, structural break test, Chow yapısal kırılma testi
Verwandt622
ZusammenfassungThe 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.The Chow test, introduced by Gregory Chow in 1960, checks whether the coefficients of a linear regression are the same across two subsamples — that is, whether a structural break occurs at a known point such as a policy change, crisis, or regime shift. It compares the fit of a single pooled regression with the combined fit of two separate regressions; a large improvement from splitting indicates the relationship differs between the two periods or groups.
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ScholarGateMethoden vergleichen: ARIMA model · Bai-Perron Test · Chow Test. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare