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Gamma-regressio (GLM)×Logistinen regressio×Negatiivinen binomiregressio×
TieteenalaTilastotiedeTutkimuksen tilastomenetelmätEkonometria
MenetelmäperheRegression modelProcess / pipelineRegression model
Syntyvuosi198919582011
KehittäjäMcCullagh & Nelder (GLM framework)David Roxbee CoxHilbe (textbook treatment); generalized linear model framework
TyyppiGeneralized linear modelMethodGeneralized linear model for count data
AlkuperäislähdeMcCullagh, 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 ↗
Rinnakkaisnimetgamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)logit model, binomial logistic regression, LRNB regression, NB2 regression, negatif binom regresyonu
Liittyvät434
TiivistelmäGamma 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.
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ScholarGateVertaile menetelmiä: Gamma Regression · Logistic Regression · Negative Binomial Regression. Haettu 2026-06-19 osoitteesta https://scholargate.app/fi/compare