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Hồi quy Gamma (Mô hình Tuyến tính Tổng quát)×Hồi quy Logistic×Hồi quy nhị thức âm×Hồi quy Poisson và Âm nhị thức×
Lĩnh vựcThống kêThống kê nghiên cứuKinh tế lượngKinh tế lượng
HọRegression modelProcess / pipelineRegression modelRegression model
Năm ra đời1989195820111998
Người khởi xướngMcCullagh & Nelder (GLM framework)David Roxbee CoxHilbe (textbook treatment); generalized linear model frameworkCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
LoạiGeneralized linear modelMethodGeneralized linear model for count dataGeneralized linear model for count data
Công trình gốcMcCullagh, P. & Nelder, J. A. (1989). Generalized Linear Models (2nd ed.). Chapman and Hall. DOI ↗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 ↗Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
Tên gọi khácgamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)logit model, binomial logistic regression, LRNB regression, NB2 regression, negatif binom regresyonucount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
Liên quan4344
Tóm tắtGamma regression is a generalized linear model that uses the gamma distribution to model a positive, right-skewed continuous outcome. Developed within the GLM framework of McCullagh and Nelder (1989), it is an alternative to ordinary linear regression for variables such as health-care costs, durations, and income.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.Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred.
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ScholarGateSo sánh phương pháp: Gamma Regression · Logistic Regression · Negative Binomial Regression · Poisson Regression. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare