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| Kiểm định Breusch-Pagan về phương sai sai số thay đổi× | Generalized Autoregressive Conditional Heteroskedasticity (GARCH)× | |
|---|---|---|
| Lĩnh vực | Kinh tế lượng | Kinh tế lượng |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1979 | 1986 |
| Người khởi xướng≠ | Trevor Breusch & Adrian Pagan | Tim Bollerslev |
| Loại≠ | Lagrange-multiplier test for heteroskedasticity | Conditional volatility model |
| Công trình gốc≠ | Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗ |
| Tên gọi khác | 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 |
| Liên quan≠ | 3 | 5 |
| Tóm tắt≠ | 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. |
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