Distributional regression for data analysis

N Klein - Annual Review of Statistics and Its Application, 2024 - annualreviews.org
Flexible modeling of how an entire distribution changes with covariates is an important yet
challenging generalization of mean-based regression that has seen growing interest over …

Global sensitivity analysis of stochastic computer models with joint metamodels

A Marrel, B Iooss, S Da Veiga, M Ribatet - Statistics and Computing, 2012 - Springer
The global sensitivity analysis method used to quantify the influence of uncertain input
variables on the variability in numerical model responses has already been applied to …

Robust estimation of mean and dispersion functions in extended generalized additive models

C Croux, I Gijbels, I Prosdocimi - Biometrics, 2012 - academic.oup.com
Generalized linear models are a widely used method to obtain parametric estimates for the
mean function. They have been further extended to allow the relationship between the mean …

A flexible model for the mean and variance functions, with application to medical cost data

J Chen, L Liu, D Zhang, YCT Shih - Statistics in medicine, 2013 - Wiley Online Library
Medical cost data are often skewed to the right and heteroscedastic, having a nonlinear
relation with covariates. To tackle these issues, we consider an extension to generalized …

Modelling collocation uncertainty of 3D atmospheric profiles

R Ignaccolo, M Franco-Villoria, A Fasso - … environmental research and risk …, 2015 - Springer
Atmospheric thermodynamic data are gathered by high technology remote instruments such
as radiosondes, giving rise to profiles that are usually modelled as functions depending only …

Joint estimation and variable selection for mean and dispersion in proper dispersion models

A Antoniadis, I Gijbels, S Lambert-Lacroix, JM Poggi - 2016 - projecteuclid.org
When describing adequately complex data structures one is often confronted with the fact
that mean as well as variance (or more generally dispersion) is highly influenced by some …

Two-piece distribution based semi-parametric quantile regression for right censored data

WB Ewnetu, I Gijbels, A Verhasselt - Statistical Papers, 2023 - Springer
Widely used methods such as Cox proportional hazards, accelerated failure time, and
Bennet proportional odds models do not model the quantiles directly, but rather allow to …

Estimating abundance from counts in large data sets of irregularly spaced plots using spatial basis functions

JM Ver Hoef, JK Jansen - Journal of Agricultural, Biological, and …, 2015 - Springer
Monitoring plant and animal populations is an important goal for both academic research
and management of natural resources. Successful management of populations often …

Flexible joint modeling of mean and dispersion for the directional tuning of neuronal spike counts

M Alonso‐Pena, I Gijbels, RM Crujeiras - Biometrics, 2023 - Wiley Online Library
The study of how the number of spikes in a middle temporal visual area (MT/V5) neuron is
tuned to the direction of a visual stimulus has attracted considerable attention over the years …

Dropout Regularization in Extended Generalized Linear Models based on Double Exponential Families

BL Schwienhorst, L Kock, DJ Nott, N Klein - arXiv preprint arXiv …, 2023 - arxiv.org
Even though dropout is a popular regularization technique, its theoretical properties are not
fully understood. In this paper we study dropout regularization in extended generalized …