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| Model gładkiego przejścia autoregresyjnego (STAR)× | ARFIMA: Model ułamkowo zintegrowanego modelu ARMA× | Regresja metodą najmniejszych kwadratów (OLS)× | Panelowa autoregresja wektorowa (Panel VAR)× | Regresja kwantylowa× | |
|---|---|---|---|---|---|
| Dziedzina | Ekonometria | Ekonometria | Ekonometria | Ekonometria | Ekonometria |
| Rodzina | Regression model | Regression model | Regression model | Regression model | Regression model |
| Rok powstania≠ | 1994 | 1980 | 2019 | 1988 | 1978 |
| Twórca≠ | Teräsvirta (1994); van Dijk, Teräsvirta & Franses (2002) | Granger & Joyeux (1980); Hosking (1981) | Wooldridge (textbook treatment); classical least squares | Holtz-Eakin, Newey & Rosen | Koenker & Bassett |
| Typ≠ | Nonlinear time-series regime-switching model | Long-memory time series model | Linear regression | Panel vector autoregression | Conditional quantile regression |
| Źródło pierwotne≠ | Teräsvirta, T. (1994). Specification, Estimation, and Evaluation of Smooth Transition Autoregressive Models. Journal of the American Statistical Association, 89(425), 208–218. DOI ↗ | Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15–29. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Holtz-Eakin, D., Newey, W. & Rosen, H. S. (1988). Estimating Vector Autoregressions with Panel Data. Econometrica, 56(6), 1371-1395. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Inne nazwy≠ | smooth transition autoregressive model, LSTAR, ESTAR, logistic STAR | fractionally integrated ARMA, long-memory time series model, ARFIMA / FIGARCH, fractional differencing model | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | PVAR, panel vector autoregression, Panel VAR (PVAR) | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Pokrewne≠ | 4 | 5 | 5 | 3 | 5 |
| Podsumowanie≠ | The Smooth Transition Autoregressive (STAR) model is a nonlinear time-series model, developed in Teräsvirta's 1994 framework, that lets the dynamics move smoothly rather than abruptly between two regimes. The logistic variant (LSTAR) captures asymmetric business cycles and the exponential variant (ESTAR) captures purchasing-power-parity deviations. | ARFIMA is a time series model that captures long-memory behaviour using a fractional differencing parameter d, generalising the integer differencing of ARIMA. It was introduced by Granger and Joyeux (1980) and formalised by Hosking (1981) to describe series whose autocorrelations decay slowly rather than abruptly. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). | Panel VAR extends the vector autoregression model to panel data, modelling the dynamic interactions among several variables while controlling for cross-unit heterogeneity through fixed effects. It was introduced by Holtz-Eakin, Newey and Rosen in 1988 and produces impulse-response functions and variance decompositions at the panel level. | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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