方法对比

	异方差的 Breusch-Pagan 检验	广义自回归条件异方差模型 (GARCH)
领域	计量经济学	计量经济学
方法族	Regression model	Regression model
起源年份	1979	1986
提出者	Trevor Breusch & Adrian Pagan	Tim Bollerslev
类型	Lagrange-multiplier test for heteroskedasticity	Conditional volatility model
开创性文献	Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294.	Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327.
别名	BP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testi	GARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeli
相关	3	5
摘要	The Breusch-Pagan test, introduced by Trevor Breusch and Adrian Pagan in 1979, is a Lagrange-multiplier test for heteroskedasticity — the condition where the variance of a regression's errors changes with the explanatory variables. It works by regressing the squared OLS residuals on candidate variables and checking whether they explain any of the residual variation, signalling that the constant-variance assumption is violated.	GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.