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רגרסיית בטא×רגרסיית גמא (GLM)×רגרסיית ריבועים פחותים רגילים (OLS)×רגרסיית קוונטילים×
תחוםסטטיסטיקהסטטיסטיקהאקונומטריקהאקונומטריקה
משפחהRegression modelRegression modelRegression modelRegression model
שנת המקור2004198920191978
הוגה השיטהFerrari & Cribari-NetoMcCullagh & Nelder (GLM framework)Wooldridge (textbook treatment); classical least squaresKoenker & Bassett
סוגGeneralized linear model (beta distribution)Generalized linear modelLinear regressionConditional quantile regression
מקור מכונןFerrari, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
כינוייםbeta regression model, proportion regression, Beta Regresyonugamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
קשורות4455
תקצירBeta 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.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).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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ScholarGateהשוואת שיטות: Beta Regression · Gamma Regression · OLS Regression · Quantile Regression. אוחזר בתאריך 2026-06-18 מתוך https://scholargate.app/he/compare