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एंगले-ग्रेंजर सह-एकीकरण परीक्षण×ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष19871970
प्रवर्तकRobert F. Engle and Clive W. J. GrangerGeorge Box and Gwilym Jenkins
प्रकारCointegration testTime series forecasting model
मौलिक स्रोतEngle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
उपनामEG cointegration test, Engle-Granger two-step method, residual-based cointegration test, EG testARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
संबंधित56
सारांशThe Engle-Granger two-step method tests whether two or more non-stationary I(1) time series share a common stochastic trend — that is, whether a linear combination of them is stationary. If cointegration is confirmed, an error-correction model (ECM) can be estimated to capture both short-run dynamics and long-run equilibrium adjustment.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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