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ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×वेक्टर ऑटोरिग्रेशन (VAR) मॉडल×
क्षेत्रअर्थमितिअर्थमितिअर्थमिति
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष201520192005
प्रवर्तकBox & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squaresLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
प्रकारUnivariate time-series modelLinear regressionMultivariate time-series model
मौलिक स्रोतBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
उपनामBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuvector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
संबंधित554
सारांशARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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