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MM-Estimation for Robust Regression×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×Theil-Sen Estimator×
ক্ষেত্রপরিসংখ্যানঅর্থমিতিপরিসংখ্যান
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর198720191968
প্রবর্তকVictor J. YohaiWooldridge (textbook treatment); classical least squaresHenri Theil (1950); P. K. Sen (1968)
ধরনRobust linear regressionLinear regressionRobust linear regression
মৌলিক উৎসYohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Sen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗
অপর নামMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Ediciordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuTheil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator
সম্পর্কিত556
সারসংক্ষেপThe 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.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).The Theil-Sen estimator is a robust linear regression method that estimates the slope as the median of the slopes computed over all pairs of data points. Introduced by Henri Theil in 1950 and extended by P. K. Sen in 1968, it tolerates outliers in the response with a breakdown point of about 29%.
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ScholarGateপদ্ধতির তুলনা করুন: MM-Estimator · OLS Regression · Theil-Sen Estimator. 2026-06-20 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare