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普通最小二乘法 (OLS) 回归×Lasso 回归×逻辑回归×分位数回归×
领域计量经济学机器学习研究统计学计量经济学
方法族Regression modelMachine learningProcess / pipelineRegression model
起源年份2019199619581978
提出者Wooldridge (textbook treatment); classical least squaresTibshirani, R.David Roxbee CoxKoenker & Bassett
类型Linear regressionRegularized linear regression (L1 penalty)MethodConditional quantile regression
开创性文献Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
别名ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationlogit model, binomial logistic regression, LRconditional quantile regression, regression quantiles, Kantil Regresyon
相关5435
摘要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).Lasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter.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.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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ScholarGate方法对比: OLS Regression · Lasso Regression · Logistic Regression · Quantile Regression. 于 2026-06-18 检索自 https://scholargate.app/zh/compare