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Ljung-Boksi Q-test autokorrelatsiooni tuvastamiseks×Breusch-Godfrey LM-test autokorrelatsiooni tuvastamiseks×
ValdkondÖkonomeetriaÖkonomeetria
PerekondHypothesis testRegression model
Tekkeaasta19781978
LoojaGreta Ljung & George BoxTrevor Breusch & Leslie Godfrey
TüüpPortmanteau goodness-of-fit testLagrange-multiplier test for serial correlation
AlgallikasLjung, G. M., & Box, G. E. P. (1978). On a measure of lack of fit in time series models. Biometrika, 65(2), 297–303. DOI ↗Godfrey, 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 ↗
RööpnimetusedLjung-Box Q Test, Modified Box-Pierce Test, Portmanteau Test for Autocorrelation, Otokorelasyon Portmanteau TestiBG test, LM test for autocorrelation, Breusch-Godfrey serial correlation test, Breusch-Godfrey otokorelasyon testi
Seotud33
KokkuvõteThe Ljung-Box Q test is a diagnostic portmanteau test proposed by Ljung and Box (1978) to assess whether a group of autocorrelations in a time series residual sequence is jointly zero. It is widely used to evaluate the adequacy of fitted time series models — especially ARIMA models — by testing whether remaining residuals exhibit any systematic pattern. The test is applicable in econometrics, finance, and any field that relies on temporal data modeling.The 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.
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ScholarGateVõrdle meetodeid: Ljung-Box Test · Breusch-Godfrey Test. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare