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最小二乗法 (OLS) 回帰×Lasso回帰×ロジスティック回帰×分位点回帰×
分野計量経済学機械学習研究統計計量経済学
系統Regression modelMachine learningProcess / pipelineRegression model
提唱年2019199619581978
提唱者Wooldridge (textbook treatment); classical least squaresTibshirani, R.David Roxbee CoxKoenker & Bassett
種類Linear regressionRegularized linear regression (L1 penalty)MethodConditional quantile regression
原典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 ↗
別名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
関連5435
概要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手法を比較: OLS Regression · Lasso Regression · Logistic Regression · Quantile Regression. 2026-06-18に以下より取得 https://scholargate.app/ja/compare