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Statistical boosting algorithms are renowned for their intrinsic variable selection and enhanced predictive performance compared to classical statistical methods, making them especially useful for complex models such as generalized additive…

统计方法学 · 统计学 2026-02-20 Alexandra Daub , Elisabeth Bergherr

We propose a comprehensive framework for additive regression models for non-Gaussian functional responses, allowing for multiple (partially) nested or crossed functional random effects with flexible correlation structures for, e.g.,…

统计方法学 · 统计学 2016-05-09 Fabian Scheipl , Jan Gertheiss , Sonja Greven

Nonlinear relationships between covariates and a response variable of interest are frequently encountered in animal science research. Within statistical models, these nonlinear effects have, traditionally, been handled using a range of…

应用统计 · 统计学 2025-10-28 Gavin L. Simpson

In various data situations joint models are an efficient tool to analyze relationships between time dependent covariates and event times or to correct for event-dependent dropout occurring in regression analysis. Joint modeling connects a…

统计方法学 · 统计学 2018-10-25 Colin Griesbach , Andreas Mayr , Elisabeth Waldmann

Additive models (AMs) have sparked a lot of interest in machine learning recently, allowing the incorporation of interpretable structures into a wide range of model classes. Many commonly used approaches to fit a wide variety of potentially…

机器学习 · 计算机科学 2025-10-23 Rickmer Schulte , David Rügamer

We present a statistical perspective on boosting. Special emphasis is given to estimating potentially complex parametric or nonparametric models, including generalized linear and additive models as well as regression models for survival…

统计方法学 · 统计学 2008-12-18 Peter Bühlmann , Torsten Hothorn

The Generalized Additive Model (GAM) is a powerful tool and has been well studied. This model class helps to identify additive regression structure. Via available test procedures one may identify the regression structure even sharper if…

统计方法学 · 统计学 2020-09-11 Rong Liu , Wolfgang Karl Härdle

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

In actuarial practice the dependency between contract limitations (deductibles, copayments) and health care expenditures are measured by the application of the Monte Carlo simulation technique. We propose, for the same goal, an alternative…

统计方法学 · 统计学 2020-11-19 Fabio Baione , Davide Biancalana , Paolo De Angelis

Generalized additive models (GAMs) connecting a set of scalar covariates that map 1-1 to a response are commonly employed in ecology and beyond. However, covariates are often inherently non-scalar, taking multiple values for each…

统计方法学 · 统计学 2025-09-11 David L Miller , Ken Newman , Thomas Cornulier

We propose a Small Area Estimation model based on Generalized Additive Models for Location, Scale and Shape (SAE-GAMLSS), for the estimation of household economic indicators. SAE-GAMLSS release the exponential family distributional…

统计方法学 · 统计学 2023-09-13 Lorenzo Mori , Maria Rosaria Ferrante

Structured additive distributional copula regression allows to model the joint distribution of multivariate outcomes by relating all distribution parameters to covariates. Estimation via statistical boosting enables accounting for…

We define a novel class of additive models, called Extended Latent Gaussian Models, that allow for a wide range of response distributions and flexible relationships between the additive predictor and mean response. The new class covers a…

统计方法学 · 统计学 2022-07-13 Alex Stringer , Patrick Brown , Jamie Stafford

We read with interest the above article by Zavorsky (2025, Respiratory Medicine, doi:10.1016/j.rmed.2024.107836) concerning reference equations for pulmonary function testing. The author compares a Generalized Additive Model for Location,…

Accurately selecting and estimating smooth functional effects in additive models with potentially many functions is a challenging task. We introduce a novel Demmler-Reinsch basis expansion to model the functional effects that allows us to…

统计方法学 · 统计学 2024-01-02 Paul Bach , Nadja Klein

There are proposals that extend the classical generalized additive models (GAMs) to accommodate high-dimensional data ($p>>n$) using group sparse regularization. However, the sparse regularization may induce excess shrinkage when estimating…

统计方法学 · 统计学 2022-07-07 Boyi Guo , Byron C. Jaeger , A. K. M. Fazlur Rahman , D. Leann Long , Nengjun Yi

We present a new variable selection method based on model-based gradient boosting and randomly permuted variables. Model-based boosting is a tool to fit a statistical model while performing variable selection at the same time. A drawback of…

机器学习 · 统计学 2017-02-16 Janek Thomas , Tobias Hepp , Andreas Mayr , Bernd Bischl

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

统计方法学 · 统计学 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

Boosting algorithms to simultaneously estimate and select predictor effects in statistical models have gained substantial interest during the last decade. This review article aims to highlight recent methodological developments regarding…

统计方法学 · 统计学 2014-11-19 Andreas Mayr , Harald Binder , Olaf Gefeller , Matthias Schmid

Generalized Additive Models (GAMs) can be used to create non-linear glass-box (i.e. explicitly interpretable) models, where the predictive function is fully observable over the complete input space. However, glass-box interpretability…

机器学习 · 计算机科学 2026-04-22 Nicolas Salvadé , Tim Hillel