Comparar métodos
Revisa los métodos seleccionados uno junto a otro; las filas que difieren aparecen resaltadas.
| Regresión Robusta× | Regresión Lasso× | Regresión por Mínimos Cuadrados Ordinarios (MCO)× | Regresión Cuantílica× | |
|---|---|---|---|---|
| Campo≠ | Estadística | Aprendizaje automático | Econometría | Econometría |
| Familia≠ | Regression model | Machine learning | Regression model | Regression model |
| Año de origen≠ | 1964 | 1996 | 2019 | 1978 |
| Autor original≠ | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) | Tibshirani, R. | Wooldridge (textbook treatment); classical least squares | Koenker & Bassett |
| Tipo≠ | Regression with outlier resistance | Regularized linear regression (L1 penalty) | Linear regression | Conditional quantile regression |
| Fuente seminal≠ | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ | Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗ | 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 ↗ |
| Alias≠ | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation | LASSO Regresyonu, lasso, L1-regularized regression, L1 regularization | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Relacionados≠ | 6 | 4 | 5 | 5 |
| Resumen≠ | Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed. | Lasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter. | 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. |
| ScholarGateConjunto de datos ↗ |
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