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Regresie RANSAC×Regresia prin metoda celor mai mici pătrate trunchiate (LTS)×Regresia cuantilică×Estimarea robustă a covarianței (MCD)×
DomeniuStatisticăStatisticăEconometrieStatistică
FamilieRegression modelRegression modelRegression modelRegression model
Anul apariției1981198419781999
Autorul originalFischler & BollesPeter J. RousseeuwKoenker & BassettRousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
TipRobust linear regressionRobust linear regressionConditional quantile regressionRobust multivariate location-scatter estimator
Sursa seminalăFischler, M. A. & Bolles, R. C. (1981). Random Sample Consensus: A Paradigm for Model Fitting with Applications to Image Analysis and Automated Cartography. Communications of the ACM, 24(6), 381-395. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
Denumiri alternativerandom sample consensus, RANSAC, robust regression, RANSAC RegresyonuLTS, least trimmed squares regression, trimmed least squares, robust regressionconditional quantile regression, regression quantiles, Kantil Regresyonminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
Înrudite5554
RezumatRANSAC Regression is a robust linear regression method introduced by Fischler and Bolles in 1981 that fits a model to the inlier points of a dataset while automatically excluding outliers. Instead of fitting all the data at once, it repeatedly samples small subsets, fits a candidate model, and keeps the model that wins the largest consensus of agreeing points.Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers.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.Robust Covariance via the Minimum Covariance Determinant (MCD) estimates a multivariate mean vector and covariance matrix that are not distorted by outliers. It was made practical by the Fast-MCD algorithm of Rousseeuw and Van Driessen (1999), building on Rousseeuw's earlier work on robust estimation.
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ScholarGateCompară metode: RANSAC Regression · Least Trimmed Squares · Quantile Regression · Robust Covariance (MCD). Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare