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बीटा प्रतिगमन×गामा रिग्रेशन (GLM)×लॉजिस्टिक रिग्रेशन×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×
क्षेत्रसांख्यिकीसांख्यिकीअनुसंधान सांख्यिकीअर्थमिति
परिवारRegression modelRegression modelProcess / pipelineRegression model
उद्भव वर्ष2004198919582019
प्रवर्तकFerrari & Cribari-NetoMcCullagh & Nelder (GLM framework)David Roxbee CoxWooldridge (textbook treatment); classical least squares
प्रकारGeneralized linear model (beta distribution)Generalized linear modelMethodLinear regression
मौलिक स्रोतFerrari, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
उपनामbeta regression model, proportion regression, Beta Regresyonugamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM)logit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
संबंधित4435
सारांशBeta 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.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).
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