Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Nelineární model ARMA (NARMA)× | Model ARCH (Autoregresivní podmíněná heteroskedasticita)× | |
|---|---|---|
| Obor | Ekonometrie | Ekonometrie |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 1980s–1990s | 1982 |
| Tvůrce≠ | Tong (1990); Granger & Terasvirta (1993) | Robert F. Engle |
| Typ≠ | Nonlinear time series model | Conditional volatility model |
| Původní zdroj≠ | Tong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300 | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ |
| Další názvy | NARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving average | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model |
| Příbuzné≠ | 2 | 6 |
| Shrnutí≠ | The Nonlinear ARMA (NARMA) model extends the classical linear ARMA framework by allowing the conditional mean to depend on past observations and past errors through an arbitrary nonlinear function. It captures complex dynamics — such as regime changes, asymmetric cycles, and threshold effects — that linear models miss, making it valuable for economic and financial time series. | The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering. |
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