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Regresi Kuasa Dua Terpangkas Terkecil (LTS)×Anggaran MM untuk Regresi Teguh×Regresi Kuantil×
BidangStatistikStatistikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal198419871978
PengasasPeter J. RousseeuwVictor J. YohaiKoenker & Bassett
JenisRobust linear regressionRobust linear regressionConditional quantile regression
Sumber perintisRousseeuw, 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 ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
AliasLTS, least trimmed squares regression, trimmed least squares, robust regressionMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Ediciconditional quantile regression, regression quantiles, Kantil Regresyon
Berkaitan555
RingkasanLeast 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.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.
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ScholarGateBandingkan kaedah: Least Trimmed Squares · MM-Estimator · Quantile Regression. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare