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Логістична регресія×Регресія негативним біноміальним розподілом×Регресія звичайно найменших квадратів (ЗНК)×Пуассонівська та від’ємна біноміальна регресія×
ГалузьСтатистика дослідженьЕконометрикаЕконометрикаЕконометрика
РодинаProcess / pipelineRegression modelRegression modelRegression model
Рік появи1958201120191998
Автор методуDavid Roxbee CoxHilbe (textbook treatment); generalized linear model frameworkWooldridge (textbook treatment); classical least squaresCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
ТипMethodGeneralized linear model for count dataLinear regressionGeneralized linear model for count data
Основоположне джерелоCox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
Інші назвиlogit model, binomial logistic regression, LRNB regression, NB2 regression, negatif binom regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonucount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
Пов'язані3454
ПідсумокLogistic 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.Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data.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).Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred.
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ScholarGateПорівняння методів: Logistic Regression · Negative Binomial Regression · OLS Regression · Poisson Regression. Отримано 2026-06-18 з https://scholargate.app/uk/compare