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逻辑回归×负二项回归×普通最小二乘法 (OLS) 回归×
领域研究统计学计量经济学计量经济学
方法族Process / pipelineRegression modelRegression model
起源年份195820112019
提出者David Roxbee CoxHilbe (textbook treatment); generalized linear model frameworkWooldridge (textbook treatment); classical least squares
类型MethodGeneralized linear model for count dataLinear regression
开创性文献Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
别名logit model, binomial logistic regression, LRNB regression, NB2 regression, negatif binom regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
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摘要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.Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data.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).
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ScholarGate方法对比: Logistic Regression · Negative Binomial Regression · OLS Regression. 于 2026-06-17 检索自 https://scholargate.app/zh/compare