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Παλινδρόμηση Beta×Παλινδρόμηση γάμμα (GLM)×Λογιστική Παλινδρόμηση×
ΠεδίοΣτατιστικήΣτατιστικήΕρευνητική Στατιστική
ΟικογένειαRegression modelRegression modelProcess / pipeline
Έτος προέλευσης200419891958
ΔημιουργόςFerrari & Cribari-NetoMcCullagh & Nelder (GLM framework)David Roxbee Cox
ΤύποςGeneralized linear model (beta distribution)Generalized linear modelMethod
Θεμελιώδης πηγήFerrari, S. L. P. & Cribari-Neto, F. (2004). Beta Regression for Modelling Rates and Proportions. Journal of Applied Statistics, 31(7), 799–815. DOI ↗McCullagh, 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 ↗
Εναλλακτικές ονομασίεςbeta regression model, proportion regression, Beta Regresyonugamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)logit model, binomial logistic regression, LR
Συναφείς443
ΣύνοψηBeta regression is a generalized linear model introduced by Ferrari and Cribari-Neto (2004) for outcomes that are rates or proportions confined to the open interval (0,1). It models the mean of a beta-distributed response through a link function, making it the natural choice for fractions, probability scores, and proportion indices.Gamma 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.
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ScholarGateΣύγκριση μεθόδων: Beta Regression · Gamma Regression · Logistic Regression. Ανακτήθηκε στις 2026-06-18 από https://scholargate.app/el/compare