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सुदृढ़ लॉजिस्टिक रिग्रेशन×एमएम-अनुमान (MM-Estimation) सघन प्रतिगमन (Robust Regression) के लिए×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×
क्षेत्रसांख्यिकीसांख्यिकीअर्थमिति
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष200119872019
प्रवर्तकCantoni & Ronchetti (2001); Bondell (2008)Victor J. YohaiWooldridge (textbook treatment); classical least squares
प्रकारRobust generalized linear model (binary outcome)Robust linear regressionLinear regression
मौलिक स्रोतCantoni, E. & Ronchetti, E. (2001). Robust Inference for Generalized Linear Models. Journal of the American Statistical Association, 96(455), 1022-1030. DOI ↗Yohai, 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: 978-1337558860
उपनामrobust binary regression, weighted logistic regression, Mallows-type logistic regression, Robust Lojistik RegresyonMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Ediciordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
संबंधित555
सारांशRobust Logistic Regression is a variant of logistic regression that is resistant to outliers and leverage points, fitting a binary or categorical outcome with Mallows-type weighted estimation. The robust framework for generalized linear models was developed by Cantoni and Ronchetti (2001), with a weighting approach later refined by Bondell (2008).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.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).
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