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Beeta regressioon×Gamma-regressioon (GLM)×Logistiline regressioon×Kvantiiilregressioon×
ValdkondStatistikaStatistikaUurimisstatistikaÖkonomeetria
PerekondRegression modelRegression modelProcess / pipelineRegression model
Tekkeaasta2004198919581978
LoojaFerrari & Cribari-NetoMcCullagh & Nelder (GLM framework)David Roxbee CoxKoenker & Bassett
TüüpGeneralized linear model (beta distribution)Generalized linear modelMethodConditional quantile regression
AlgallikasFerrari, 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 ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
Rööpnimetusedbeta regression model, proportion regression, Beta Regresyonugamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)logit model, binomial logistic regression, LRconditional quantile regression, regression quantiles, Kantil Regresyon
Seotud4435
KokkuvõteBeta 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.Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateVõrdle meetodeid: Beta Regression · Gamma Regression · Logistic Regression · Quantile Regression. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare