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| Robusna logistička regresija× | Logistička regresija× | MM-estimacija za robusnu regresiju× | |
|---|---|---|---|
| Oblast≠ | Statistika | Istraživačka statistika | Statistika |
| Porodica≠ | Regression model | Process / pipeline | Regression model |
| Godina nastanka≠ | 2001 | 1958 | 1987 |
| Tvorac≠ | Cantoni & Ronchetti (2001); Bondell (2008) | David Roxbee Cox | Victor J. Yohai |
| Tip≠ | Robust generalized linear model (binary outcome) | Method | Robust linear regression |
| Temeljni izvor≠ | Cantoni, 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 ↗ |
| Drugi nazivi≠ | robust binary regression, weighted logistic regression, Mallows-type logistic regression, Robust Lojistik Regresyon | logit model, binomial logistic regression, LR | MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici |
| Srodne≠ | 5 | 3 | 5 |
| Sažetak≠ | Robust 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. |
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