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Regresi Gamma (GLM)×Regresi Logistik×Regresi Binomial Negatif×Regresi Poisson dan Binomial Negatif×
BidangStatistikStatistik PenyelidikanEkonometrikEkonometrik
KeluargaRegression modelProcess / pipelineRegression modelRegression model
Tahun asal1989195820111998
PengasasMcCullagh & Nelder (GLM framework)David Roxbee CoxHilbe (textbook treatment); generalized linear model frameworkCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
JenisGeneralized linear modelMethodGeneralized linear model for count dataGeneralized linear model for count data
Sumber perintisMcCullagh, 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 ↗
Aliasgamma 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
Berkaitan4344
RingkasanGamma 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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ScholarGateBandingkan kaedah: Gamma Regression · Logistic Regression · Negative Binomial Regression · Poisson Regression. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare