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آزمون ARCH-LM برای خوشه‌بندی نوسانات×آزمون وایت برای ناهمسانی واریانس×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش19821980
پدیدآورRobert F. EngleHalbert White
نوعLagrange multiplier diagnostic test for conditional heteroscedasticityGeneral test for heteroskedasticity
منبع بنیادینEngle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50(4), 987-1007. DOI ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
نام‌های دیگرARCH-LM Testi ve Volatilite Kümelenmesi Analizi, ARCH LM test, Engle's ARCH test, test for autoregressive conditional heteroscedasticityWhite's general heteroskedasticity test, White değişen varyans testi
مرتبط63
خلاصهThe ARCH-LM test is Robert Engle's (1982) Lagrange multiplier diagnostic for autoregressive conditional heteroscedasticity in the residuals of a fitted time-series model. It checks whether the error variance changes over time and clusters into calm and turbulent periods, and it is the standard pre-test run before fitting a GARCH-family volatility model.The White test, introduced by Halbert White in 1980, is a general test for heteroskedasticity that makes no assumption about its functional form. It regresses the squared OLS residuals on the regressors, their squares, and their cross-products, so it can detect heteroskedasticity related to any of these terms. The same 1980 paper introduced the heteroskedasticity-consistent ('White') standard errors that are the standard remedy when the test rejects.
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ScholarGateمقایسهٔ روش‌ها: ARCH-LM Test · White Test. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare