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| Estymacja odchylenia bezwzględnego od mediany (MAD)× | Regresja kwantylowa× | Regularyzacja grzbietowa (Ridge Regression)× | |
|---|---|---|---|
| Dziedzina≠ | Statystyka | Ekonometria | Uczenie maszynowe |
| Rodzina≠ | Regression model | Regression model | Machine learning |
| Rok powstania≠ | 1974 | 1978 | 1970 |
| Twórca≠ | Hampel (influence-curve treatment); classical robust statistics | Koenker & Bassett | Hoerl, A.E. & Kennard, R.W. |
| Typ≠ | Robust scale estimator | Conditional quantile regression | L2-regularized linear regression |
| Źródło pierwotne≠ | Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ | Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗ |
| Inne nazwy≠ | median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahmini | conditional quantile regression, regression quantiles, Kantil Regresyon | Ridge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization |
| Pokrewne≠ | 5 | 5 | 4 |
| Podsumowanie≠ | Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result. | 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. | Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated. |
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