手法を比較

	Least Median of Squares (LMS) 回帰	Least Trimmed Squares (LTS) 回帰分析
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1984	1984
提唱者	Peter J. Rousseeuw	Peter J. Rousseeuw
種類	Robust linear regression	Robust linear regression
原典	Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880.	Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880.
別名	LMS, least median of squares regression, en küçük medyan kareler (LMS)	LTS, least trimmed squares regression, trimmed least squares, robust regression
関連	5	5
概要	Least Median of Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of minimising the sum of squared residuals like ordinary least squares, it minimises the median of the squared residuals, which lets the fit resist contamination by up to roughly 50% outliers.	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.