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Logistiline regressioon×MM-estimatsioon robustse regressiooni jaoks×Tavaline vähimruutude (OLS) regressioon×Kvantiiilregressioon×
ValdkondUurimisstatistikaStatistikaÖkonomeetriaÖkonomeetria
PerekondProcess / pipelineRegression modelRegression modelRegression model
Tekkeaasta1958198720191978
LoojaDavid Roxbee CoxVictor J. YohaiWooldridge (textbook treatment); classical least squaresKoenker & Bassett
TüüpMethodRobust linear regressionLinear regressionConditional quantile regression
AlgallikasCox, 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: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
Rööpnimetusedlogit 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 regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
Seotud3555
KokkuvõteLogistic 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).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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ScholarGateVõrdle meetodeid: Logistic Regression · MM-Estimator · OLS Regression · Quantile Regression. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare