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Model Additif Umum untuk Lokasi, Skala dan Bentuk (GAMLSS)×Model Aditif Generalized (GAM)×Regresi Kuantil×
BidangStatistikPembelajaran MesinEkonometrik
KeluargaRegression modelMachine learningRegression model
Tahun asal200519861978
PengasasRobert Rigby & Mikis StasinopoulosTrevor Hastie & Robert TibshiraniKoenker & Bassett
JenisSemi-parametric distributional regression modelSemi-parametric additive regression modelConditional quantile regression
Sumber perintisRigby, 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 ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
AliasDistributional Regression, Flexible Regression and Smoothing, GAMLSS Framework, Konum, Ölçek ve Şekil için Genelleştirilmiş Toplamlı ModellerGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelconditional quantile regression, regression quantiles, Kantil Regresyon
Berkaitan245
RingkasanGAMLSS 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.Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateBandingkan kaedah: GAMLSS · Generalized Additive Model · Quantile Regression. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare