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مدل‌های افزایشی تعمیم‌یافته برای مکان، مقیاس و شکل (GAMLSS)×مدل جمعی تعمیم‌یافته (GAM)×
حوزهآماریادگیری ماشین
خانوادهRegression modelMachine learning
سال پیدایش20051986
پدیدآورRobert Rigby & Mikis StasinopoulosTrevor Hastie & Robert Tibshirani
نوعSemi-parametric distributional regression modelSemi-parametric additive regression model
منبع بنیادینRigby, 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 ↗
نام‌های دیگرDistributional Regression, Flexible Regression and Smoothing, GAMLSS Framework, Konum, Ölçek ve Şekil için Genelleştirilmiş Toplamlı ModellerGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
مرتبط24
خلاصهGAMLSS 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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ScholarGateمقایسهٔ روش‌ها: GAMLSS · Generalized Additive Model. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare