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رگرسیون گاما (GLM)×رگرسیون لجستیک×رگرسیون حداقل مربعات معمولی (OLS)×رگرسیون پواسون و دوجمله‌ای منفی×
حوزهآمارآمار پژوهشاقتصادسنجیاقتصادسنجی
خانوادهRegression modelProcess / pipelineRegression modelRegression model
سال پیدایش1989195820191998
پدیدآورMcCullagh & Nelder (GLM framework)David Roxbee CoxWooldridge (textbook treatment); classical least squaresCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
نوعGeneralized linear modelMethodLinear regressionGeneralized linear model for count data
منبع بنیادینMcCullagh, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
نام‌های دیگرgamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)logit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonucount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
مرتبط4354
خلاصهGamma 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.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).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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ScholarGateمقایسهٔ روش‌ها: Gamma Regression · Logistic Regression · OLS Regression · Poisson Regression. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare