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| ガンマ回帰 (GLM)× | 負の二項回帰× | |
|---|---|---|
| 分野≠ | 統計学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1989 | 2011 |
| 提唱者≠ | McCullagh & Nelder (GLM framework) | Hilbe (textbook treatment); generalized linear model framework |
| 種類≠ | Generalized linear model | Generalized linear model for count data |
| 原典≠ | McCullagh, P. & Nelder, J. A. (1989). Generalized Linear Models (2nd ed.). Chapman and Hall. DOI ↗ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗ |
| 別名 | gamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM) | NB regression, NB2 regression, negatif binom regresyonu |
| 関連 | 4 | 4 |
| 概要≠ | 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. | 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. |
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