مقایسهٔ روشها
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| مدل خودرگرسیون انتقال هموار (STAR)× | مدل ARMA با انتگرالگیری کسری (ARFIMA)× | رگرسیون حداقل مربعات معمولی (OLS)× | |
|---|---|---|---|
| حوزه | اقتصادسنجی | اقتصادسنجی | اقتصادسنجی |
| خانواده | Regression model | Regression model | Regression model |
| سال پیدایش≠ | 1994 | 1980 | 2019 |
| پدیدآور≠ | Teräsvirta (1994); van Dijk, Teräsvirta & Franses (2002) | Granger & Joyeux (1980); Hosking (1981) | Wooldridge (textbook treatment); classical least squares |
| نوع≠ | Nonlinear time-series regime-switching model | Long-memory time series model | Linear regression |
| منبع بنیادین≠ | 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 |
| نامهای دیگر≠ | 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 |
| مرتبط≠ | 4 | 5 | 5 |
| خلاصه≠ | 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). |
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