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Тест на Бройш-Годфри (LM) за автокорелация×Модел ARIMA (Autoregressive Integrated Moving Average)×
ОбластИконометрияИконометрия
СемействоRegression modelRegression model
Година на възникване19782015
СъздателTrevor Breusch & Leslie GodfreyBox & Jenkins (Box-Jenkins methodology)
ТипLagrange-multiplier test for serial correlationUnivariate time-series model
Основополагащ източникGodfrey, 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: 978-1118675021
Други названияBG test, LM test for autocorrelation, Breusch-Godfrey serial correlation test, Breusch-Godfrey otokorelasyon testiBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
Свързани35
РезюмеThe 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).
ScholarGateНабор от данни
  1. v1
  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 1 Източници
  3. PUBLISHED

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ScholarGateСравнение на методи: Breusch-Godfrey Test · ARIMA. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare