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বিটা রিগ্রেশন×গামা রিগ্রেশন (GLM)×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×কোয়ান্টাইল রিগ্রেশন×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর2004198920191978
প্রবর্তকFerrari & Cribari-NetoMcCullagh & Nelder (GLM framework)Wooldridge (textbook treatment); classical least squaresKoenker & Bassett
ধরনGeneralized linear model (beta distribution)Generalized linear modelLinear regressionConditional quantile regression
মৌলিক উৎসFerrari, 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 ↗
অপর নামbeta 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
সম্পর্কিত4455
সারসংক্ষেপBeta 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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ScholarGateপদ্ধতির তুলনা করুন: Beta Regression · Gamma Regression · OLS Regression · Quantile Regression. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare