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We extend Generalized Additive Models for Location, Scale, and Shape (GAMLSS) to regression with functional response. This allows us to simultaneously model point-wise mean curves, variances and other distributional parameters of the…

We introduce a generalized additive model for location, scale, and shape (GAMLSS) next of kin aiming at distribution-free and parsimonious regression modelling for arbitrary outcomes. We replace the strict parametric distribution…

统计方法学 · 统计学 2023-12-21 Sandra Siegfried , Lucas Kook , Torsten Hothorn

Generalized additive models for location, scale and shape (GAMLSS) are a flexible class of regression models that allow to model multiple parameters of a distribution function, such as the mean and the standard deviation, simultaneously.…

统计计算 · 统计学 2014-07-08 Benjamin Hofner , Andreas Mayr , Matthias Schmid

We propose an extension of Markov-switching generalized additive models for location, scale, and shape (MS-GAMLSS) that allows covariates to influence not only the parameters of the state-dependent distributions but also the state…

统计方法学 · 统计学 2026-01-08 Katharina Ammann , Timo Adam , Jan-Ole Koslik

Tuning of model-based boosting algorithms relies mainly on the number of iterations, while the step-length is fixed at a predefined value. For complex models with several predictors such as Generalized Additive Models for Location, Scale…

统计方法学 · 统计学 2021-02-19 Boyao Zhang , Tobias Hepp , Sonja Greven , Elisabeth Bergherr

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

统计方法学 · 统计学 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

We propose a novel class of flexible latent-state time series regression models which we call Markov-switching generalized additive models for location, scale and shape. In contrast to conventional Markov-switching regression models, the…

统计方法学 · 统计学 2018-05-18 Timo Adam , Andreas Mayr , Thomas Kneib

Rigby & Stasinopoulos (2005) introduced generalized additive models for location, scale and shape (GAMLSS) where the response distribution is not restricted to belong to the exponential family and its parameters can be specified as…

统计方法学 · 统计学 2016-05-25 Giampiero Marra , Rosalba Radice

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

统计方法学 · 统计学 2023-11-14 Jana Kleinemeier , Nadja Klein

Due to the increase in data availability in urban and regional studies, various spatial panel models have emerged to model spatial panel data, which exhibit spatial patterns and spatial dependencies between observations across time.…

统计方法学 · 统计学 2026-03-17 Michael Balzer , Adhen Benlahlou

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

This paper introduces distributional regression, also known as generalized additive models for location, scale and shape (GAMLSS), as a modeling framework for analyzing treatment effects beyond the mean. By relating each parameter of the…

应用统计 · 统计学 2019-03-29 Maike Hohberg , Peter Pütz , Thomas Kneib

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

统计方法学 · 统计学 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

Forecasters using flexible neural networks (NN) in multi-horizon distributional regression setups often struggle to gain detailed insights into the underlying mechanisms that lead to the predicted feature-conditioned distribution…

机器学习 · 计算机科学 2024-12-23 Alessandro Brusaferri , Danial Ramin , Andrea Ballarino

Component-wise gradient boosting algorithms are popular for their intrinsic variable selection and implicit regularization, which can be especially beneficial for very flexible model classes. When estimating generalized additive models for…

统计方法学 · 统计学 2024-04-15 Alexandra Daub , Andreas Mayr , Boyao Zhang , Elisabeth Bergherr

The R add-on package FDboost is a flexible toolbox for the estimation of functional regression models by model-based boosting. It provides the possibility to fit regression models for scalar and functional response with effects of scalar as…

统计计算 · 统计学 2018-04-27 Sarah Brockhaus , David Rügamer , Sonja Greven

We present a new algorithm for boosting generalized additive models for location, scale and shape (GAMLSS) that allows to incorporate stability selection, an increasingly popular way to obtain stable sets of covariates while controlling the…

统计计算 · 统计学 2017-05-16 Janek Thomas , Andreas Mayr , Bernd Bischl , Matthias Schmid , Adam Smith , Benjamin Hofner

We present a unified probabilistic gradient boosting framework for regression tasks that models and predicts the entire conditional distribution of a univariate response variable as a function of covariates. Our likelihood-based approach…

机器学习 · 统计学 2022-04-05 Alexander März , Thomas Kneib

Researchers in urban and regional studies increasingly deal with spatial data that reflects geographic location and spatial relationships. As a framework for dealing with the unique nature of spatial data, various spatial regression models…

计量经济学 · 经济学 2025-06-17 Michael Balzer

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

统计方法学 · 统计学 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa
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