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Least Trimmed Squares (LTS) रिग्रेशन×एमएम-अनुमान (MM-Estimation) सघन प्रतिगमन (Robust Regression) के लिए×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारRegression modelRegression model
उद्भव वर्ष19841987
प्रवर्तकPeter J. RousseeuwVictor J. Yohai
प्रकारRobust linear regressionRobust linear regression
मौलिक स्रोतRousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
उपनामLTS, least trimmed squares regression, trimmed least squares, robust regressionMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
संबंधित55
सारांशLeast 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.The MM-estimator is a robust linear regression method introduced by Victor J. Yohai in 1987. It combines the high breakdown point of an S-estimator with the high efficiency of an M-estimator, so it resists outliers strongly while still using the data efficiently when errors are well-behaved.
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