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Robust Quantile Regression×Robustна множествена линейна регресия×
ОбластСтатистикаСтатистика
СемействоRegression modelRegression model
Година на възникване1993–19971964–1980s
СъздателKoenker & Bassett (1978); robust extensions by Machado (1993) and He (1997)Peter J. Huber (M-estimators, 1964); extended by Rousseeuw, Yohai, and Maronna
ТипRobust semiparametric regressionRobust linear regression
Основополагащ източникKoenker, R. (2005). Quantile Regression. Cambridge University Press. ISBN: 978-0521608275Huber, P. J. (1964). Robust estimation of a location parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Други названияrobust QR, outlier-resistant quantile regression, bounded-influence quantile regression, RQRrobust MLR, M-estimator regression, resistant multiple regression, robust OLS
Свързани66
РезюмеRobust 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.Robust multiple linear regression estimates the linear relationship between a continuous outcome and several predictors while being resistant to outliers and violations of the normality assumption. Instead of minimising the sum of squared residuals, it uses a bounded loss function — most commonly Huber's or Tukey's bisquare — so that extreme observations receive limited influence on the estimated coefficients.
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  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 2 Източници
  3. PUBLISHED

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ScholarGateСравнение на методи: Robust Quantile Regression · Robust Multiple linear regression. Извлечено на 2026-06-15 от https://scholargate.app/bg/compare