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ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×बाई-पेरॉन मल्टीपल स्ट्रक्चरल ब्रेक टेस्ट×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelHypothesis test
उद्भव वर्ष19701998
प्रवर्तकGeorge Box and Gwilym JenkinsJushan Bai & Pierre Perron
प्रकारTime series forecasting modelSequential hypothesis test for multiple structural breaks
मौलिक स्रोतBox, 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 ↗
उपनामARIMA, 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
संबंधित62
सारांशThe 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.
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