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स्ट्रक्चरल ब्रेक एमए मॉडल×ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष1989–19921970
प्रवर्तकPerron (1989); Zivot & Andrews (1992)George Box and Gwilym Jenkins
प्रकारTime series model with structural changeTime series forecasting model
मौलिक स्रोतPerron, P. (1989). The great crash, the oil price shock, and the unit root hypothesis. Econometrica, 57(6), 1361–1401. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
उपनामMA model with structural change, broken MA model, MA with regime shift, structural break moving averageARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
संबंधित56
सारांशA Moving Average (MA) time series model augmented to accommodate one or more structural breaks — abrupt shifts in the mean, variance, or MA coefficients occurring at known or unknown break dates. Ignoring structural breaks in an MA process inflates forecast errors and distorts inference on the error dynamics.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.
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