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रिग्रेशन का टाऊ (τ) अनुमानक×एमएम-अनुमान (MM-Estimation) सघन प्रतिगमन (Robust Regression) के लिए×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारRegression modelRegression model
उद्भव वर्ष19881987
प्रवर्तकYohai & ZamarVictor J. Yohai
प्रकारRobust linear regressionRobust linear regression
मौलिक स्रोतYohai, V. J., & Zamar, R. H. (1988). High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale. Journal of the American Statistical Association, 83(402), 406-413. DOI ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
उपनामtau regression estimator, robust tau regression, Tau-Tahmin EdiciMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
संबंधित45
सारांशThe Tau estimator is a robust linear regression method introduced by Yohai and Zamar in 1988 that fits the model by minimising an efficient τ-scale of the residuals. It builds on the scale estimate of the S-estimator to combine a high breakdown point with high statistical efficiency, and is often used as an alternative to the MM-estimator in small samples.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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