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| Regressió per Mínims Quadrats Ordinàris (MQO)× | Regressió quantílica× | Estimador Tau (τ) de Regressió× | |
|---|---|---|---|
| Camp≠ | Econometria | Econometria | Estadística |
| Família | Regression model | Regression model | Regression model |
| Any d'origen≠ | 2019 | 1978 | 1988 |
| Autor original≠ | Wooldridge (textbook treatment); classical least squares | Koenker & Bassett | Yohai & Zamar |
| Tipus≠ | Linear regression | Conditional quantile regression | Robust linear regression |
| Font seminal≠ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ | Yohai, V. J., & Zamar, R. H. (1988). High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale. Journal of the American Statistical Association, 83(402), 406-413. DOI ↗ |
| Àlies≠ | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | conditional quantile regression, regression quantiles, Kantil Regresyon | tau regression estimator, robust tau regression, Tau-Tahmin Edici |
| Relacionats≠ | 5 | 5 | 4 |
| Resum≠ | 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). | 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. | The Tau estimator is a robust linear regression method introduced by Yohai and Zamar in 1988 that fits the model by minimising an efficient τ-scale of the residuals. It builds on the scale estimate of the S-estimator to combine a high breakdown point with high statistical efficiency, and is often used as an alternative to the MM-estimator in small samples. |
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