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| Uogólnione modele addytywne dla położenia, skali i kształtu (GAMLSS)× | Uogólniony model addytywny (GAM)× | |
|---|---|---|
| Dziedzina≠ | Statystyka | Uczenie maszynowe |
| Rodzina≠ | Regression model | Machine learning |
| Rok powstania≠ | 2005 | 1986 |
| Twórca≠ | Robert Rigby & Mikis Stasinopoulos | Trevor Hastie & Robert Tibshirani |
| Typ≠ | Semi-parametric distributional regression model | Semi-parametric additive regression model |
| Źródło pierwotne≠ | Rigby, R. A., & Stasinopoulos, D. M. (2005). Generalized additive models for location, scale and shape. Journal of the Royal Statistical Society: Series C, 54(3), 507–554. DOI ↗ | Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗ |
| Inne nazwy | Distributional Regression, Flexible Regression and Smoothing, GAMLSS Framework, Konum, Ölçek ve Şekil için Genelleştirilmiş Toplamlı Modeller | GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model |
| Pokrewne≠ | 2 | 4 |
| Podsumowanie≠ | GAMLSS is a broad class of semi-parametric regression models introduced by Robert Rigby and Mikis Stasinopoulos in 2005. Unlike classical regression, which models only the mean of a response, GAMLSS allows each parameter of a chosen parametric distribution — location (e.g., mean), scale (e.g., variance), and shape (e.g., skewness, kurtosis) — to be modeled as an additive function of covariates. This makes it possible to capture heteroscedasticity, skewness, and heavy tails simultaneously within a single unified framework. | A generalized additive model, introduced by Trevor Hastie and Robert Tibshirani in 1986, extends the generalized linear model by replacing each linear term with a smooth, data-driven function of the predictor. This lets the model capture nonlinear relationships while preserving the additive, term-by-term interpretability of regression: each predictor contributes its own estimated curve, and the curves simply add up (on a link scale) to predict the response. |
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