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브레우슈-고드프리 LM 검정 (Breusch-Godfrey LM Test for Serial Correlation)×ARIMA (Autoregressive Integrated Moving Average) 모형×최소제곱법(OLS) 회귀×
분야계량경제학계량경제학계량경제학
계열Regression modelRegression modelRegression model
기원 연도197820152019
창시자Trevor Breusch & Leslie GodfreyBox & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squares
유형Lagrange-multiplier test for serial correlationUnivariate time-series modelLinear regression
원전Godfrey, L. G. (1978). Testing against general autoregressive and moving average error models when the regressors include lagged dependent variables. Econometrica, 46(6), 1293–1301. DOI ↗Box, 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: 978-1337558860
별칭BG test, LM test for autocorrelation, Breusch-Godfrey serial correlation test, Breusch-Godfrey otokorelasyon testiBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련355
요약The Breusch-Godfrey test is a Lagrange-multiplier test for serial correlation in regression residuals, developed independently by Trevor Breusch (1978) and Leslie Godfrey (1978). Unlike the Durbin-Watson test, it detects autocorrelation up to any chosen order p, remains valid when the model includes lagged dependent variables, and produces a definite chi-square p-value rather than an inconclusive region — making it the modern standard for autocorrelation testing.ARIMA 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).
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