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مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)×آزمون دوربین-واتسون برای خودهمبستگی×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهاقتصادسنجیاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression modelRegression model
سال پیدایش201519502019
پدیدآورBox & Jenkins (Box-Jenkins methodology)James Durbin & Geoffrey WatsonWooldridge (textbook treatment); classical least squares
نوعUnivariate time-series modelTest for first-order residual autocorrelationLinear regression
منبع بنیادینBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
نام‌های دیگرBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
مرتبط545
خلاصهARIMA 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).The Durbin-Watson test, developed by James Durbin and Geoffrey Watson in 1950–1951, detects first-order serial correlation in the residuals of a linear regression. Its statistic ranges from 0 to 4, with a value near 2 indicating no autocorrelation, values toward 0 indicating positive autocorrelation, and values toward 4 indicating negative autocorrelation. It remains one of the most reported regression diagnostics despite well-known limitations.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).
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ScholarGateمقایسهٔ روش‌ها: ARIMA · Durbin-Watson Test · OLS Regression. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare