Порівняння методів
Переглядайте обрані методи поруч; рядки з відмінностями підсвічено.
| Теорія довіри× | Регресія негативним біноміальним розподілом× | |
|---|---|---|
| Галузь≠ | Актуарна наука | Економетрика |
| Родина | Regression model | Regression model |
| Рік появи≠ | 1967 | 2011 |
| Автор методу≠ | Hans Bühlmann | Hilbe (textbook treatment); generalized linear model framework |
| Тип≠ | Weighted linear blend of individual and collective experience | Generalized linear model for count data |
| Основоположне джерело≠ | Bühlmann, H. (1967). Experience rating and credibility. ASTIN Bulletin, 4(3), 199–207. DOI ↗ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗ |
| Інші назви≠ | Bühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik Teorisi | NB regression, NB2 regression, negatif binom regresyonu |
| Пов'язані≠ | 3 | 4 |
| Підсумок≠ | Credibility Theory is an actuarial framework for estimating the pure premium of an individual risk by blending its own observed loss experience with the collective (portfolio) mean. Introduced by Hans Bühlmann in 1967, the method derives the optimal linear combination—the credibility-weighted premium—that minimises mean squared error. It extends classical experience rating to a rigorous statistical footing rooted in Bayesian and linear estimation principles. | 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. |
| ScholarGateНабір даних ↗ |
|
|