Regression modelRegression / GLM
Robust Quantile Regression
Robust Quantile Regression estimates conditional quantiles of a response variable while simultaneously downweighting the influence of outliers. By combining the asymmetric loss function of standard quantile regression with bounded-influence or M-estimation weights, it provides reliable quantile estimates even when data contain extreme observations or heavy-tailed error distributions.
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Sources
- Koenker, R. (2005). Quantile Regression. Cambridge University Press. ISBN: 978-0521608275
- Machado, J. A. F. (1993). Robust model selection and M-estimation. Econometric Theory, 9(3), 478–493. DOI: 10.1017/S0266466600007775 ↗