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Regression classes modeling more than the mean of the response have found a lot of attention in the last years. Expectile regression is a special and computationally convenient case of this family of models. Expectiles offer a quantile-like…

统计方法学 · 统计学 2013-12-19 Elisabeth Waldmann , Fabian Sobotka , Thomas Kneib

Motivated by research on gender identity norms and the distribution of the woman's share in a couple's total labor income, we consider functional additive regression models for probability density functions as responses with scalar…

统计方法学 · 统计学 2024-06-18 Eva-Maria Maier , Almond Stöcker , Bernd Fitzenberger , Sonja Greven

We present a structured additive regression approach to model conditional densities given scalar covariates, where only samples of the conditional distributions are observed. This links our approach to distributional regression models for…

统计方法学 · 统计学 2025-10-17 Eva-Maria Maier , Alexander Fottner , Sonja Greven , Almond Stöcker

Bounded continuous data on the unit interval frequently arise in applied fields and often exhibit a non-negligible proportion of observations at the boundaries. Inflated regression models address this feature by combining a continuous…

统计方法学 · 统计学 2026-03-05 Francisco F. Queiroz , Johannes Brachem , Paul F. V. Wiemann , Thomas Kneib

In structured additive distributional regression, the conditional distribution of the response variables given the covariate information and the vector of model parameters is modelled using a P-parametric probability density function where…

统计计算 · 统计学 2025-02-06 Gianmarco Callegher , Thomas Kneib , Johannes Söding , Paul Wiemann

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

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

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

Semi-structured regression models enable the joint modeling of interpretable structured and complex unstructured feature effects. The structured model part is inspired by statistical models and can be used to infer the input-output…

机器学习 · 计算机科学 2024-01-24 Daniel Dold , David Rügamer , Beate Sick , Oliver Dürr

When random effects are correlated with sample design variables, the usual approach of employing individual survey weights (constructed to be inversely proportional to the unit survey inclusion probabilities) to form a pseudo-likelihood no…

统计方法学 · 统计学 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

We propose a novel framework for conducting causal inference based on counterfactual densities. While the current paradigm of causal inference is mostly focused on estimating average treatment effects (ATEs), which restricts the analysis to…

计量经济学 · 经济学 2026-04-27 Georg Keilbar , Sonja Greven

In this paper, we propose a new and unified approach for nonparametric regression and conditional distribution learning. Our approach simultaneously estimates a regression function and a conditional generator using a generative learning…

机器学习 · 统计学 2023-06-28 Shanshan Song , Tong Wang , Guohao Shen , Yuanyuan Lin , Jian Huang

Survey data are widely used to study how income inequality, poverty, and welfare evolve over time. A common practice is to estimate the income distribution separately for each year, treating annual observations as independent…

计量经济学 · 经济学 2026-04-24 David Gunawan

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

统计理论 · 数学 2010-10-07 Yuao Hu

We combine Bayesian prediction and weighted inference as a unified approach to survey inference. The general principles of Bayesian analysis imply that models for survey outcomes should be conditional on all variables that affect the…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Rob Trangucci , Jonah Sol Gabry , Andrew Gelman

We consider the problem of regression with selectively observed covariates in a nonparametric framework. Our approach relies on instrumental variables that explain variation in the latent covariates but have no direct effect on selection.…

计量经济学 · 经济学 2020-10-15 Christoph Breunig , Peter Haan

The availability of data from multiple heterogeneous environments has motivated methods that remain reliable under distributional shifts. When the joint distribution of response and predictors varies across environments, the response may…

统计方法学 · 统计学 2026-04-29 Ruqian Zhang , Juan Shen , Yijiao Zhang

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

统计方法学 · 统计学 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

We present a general framework for Bayesian inference of causal effects that delivers provably robust inferences founded on design-based randomization of treatments. The framework involves fixing the observed potential outcomes and forming…

统计方法学 · 统计学 2025-11-04 Easton Huch , Fred Feinberg , Walter Dempsey

This study extends the Bayesian nonparametric instrumental variable regression model to determine the structural effects of covariates on the conditional quantile of the response variable. The error distribution is nonparametrically…

统计方法学 · 统计学 2016-08-30 Genya Kobayashi , Kota Ogasawara
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