手法を比較

	RANSAC回帰	最小二乗法 (OLS) 回帰	ロバスト共分散推定 (MCD)
分野	統計学	計量経済学	統計学
系統	Regression model	Regression model	Regression model
提唱年	1981	2019	1999
提唱者	Fischler & Bolles	Wooldridge (textbook treatment); classical least squares	Rousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
種類	Robust linear regression	Linear regression	Robust multivariate location-scatter estimator
原典	Fischler, 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.	Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860	Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223.
別名	random sample consensus, RANSAC, robust regression, RANSAC Regresyonu	ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu	minimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
関連	5	5	4
概要	RANSAC 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.	Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).	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.