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| Regresi Logistik Robust× | Estimasi MM untuk Regresi Robust× | Regresi Kuadrat Terkecil Biasa (Ordinary Least Squares - OLS)× | Regresi Kuantil× | |
|---|---|---|---|---|
| Bidang≠ | Statistika | Statistika | Ekonometrika | Ekonometrika |
| Keluarga | Regression model | Regression model | Regression model | Regression model |
| Tahun asal≠ | 2001 | 1987 | 2019 | 1978 |
| Pencetus≠ | Cantoni & Ronchetti (2001); Bondell (2008) | Victor J. Yohai | Wooldridge (textbook treatment); classical least squares | Koenker & Bassett |
| Tipe≠ | Robust generalized linear model (binary outcome) | Robust linear regression | Linear regression | Conditional quantile regression |
| Sumber perintis≠ | Cantoni, 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 | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Alias≠ | robust binary regression, weighted logistic regression, Mallows-type logistic regression, Robust Lojistik Regresyon | MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Terkait | 5 | 5 | 5 | 5 |
| Ringkasan≠ | 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). | 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). | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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