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رگرسیون لجستیک مقاوم×رگرسیون لجستیک×برآوردگر MM برای رگرسیون استوار×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهآمارآمار پژوهشآماراقتصادسنجی
خانوادهRegression modelProcess / pipelineRegression modelRegression model
سال پیدایش2001195819872019
پدیدآورCantoni & Ronchetti (2001); Bondell (2008)David Roxbee CoxVictor J. YohaiWooldridge (textbook treatment); classical least squares
نوعRobust generalized linear model (binary outcome)MethodRobust linear regressionLinear regression
منبع بنیادینCantoni, E. & Ronchetti, E. (2001). Robust Inference for Generalized Linear Models. Journal of the American Statistical Association, 96(455), 1022-1030. DOI ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. 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
نام‌های دیگرrobust binary regression, weighted logistic regression, Mallows-type logistic regression, Robust Lojistik Regresyonlogit model, binomial logistic regression, LRMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Ediciordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
مرتبط5355
خلاصهRobust 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).Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.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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ScholarGateمقایسهٔ روش‌ها: Robust Logistic Regression · Logistic Regression · MM-Estimator · OLS Regression. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare