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The Gaussian graphical model (GGM) incorporates an undirected graph to represent the conditional dependence between variables, with the precision matrix encoding partial correlation between pair of variables given the others. To achieve…

Methodology · Statistics 2023-07-03 Yueqi Qian , Xianghong Hu , Can Yang

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to conduct such sampling, but such a method can converge…

Applications · Statistics 2019-10-29 Belhal Karimi , Marc Lavielle

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

Effect size measures and visualization techniques aimed at maximizing the interpretability and comparability of results from statistical models have long been of great importance and are recently again receiving increased attention in the…

Methodology · Statistics 2022-11-08 Hannah Kümpel , Sabine Hoffmann

Non linear mixed effect models are classical tools to analyze non linear longitudinal data in many fields such as population Pharmacokinetic. Groups of observations are usually compared by introducing the group affiliations as binary…

Computation · Statistics 2017-09-28 Edouard Ollier , Adeline Samson , Xavier Delavenne , Vivian Viallon

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

Methodology · Statistics 2026-01-13 Sphiwe B. Skhosana , Weixin Yao

We develop a Gaussian-process mixture model for heterogeneous treatment effect estimation that leverages the use of transformed outcomes. The approach we will present attempts to improve point estimation and uncertainty quantification…

Methodology · Statistics 2018-12-19 Abbas Zaidi , Sayan Mukherjee

Predictive mean matching (PMM) is a popular imputation strategy that imputes missing values by borrowing observed values from other cases with similar expectations. We show that, unlike other imputation strategies, PMM is not guaranteed to…

Methodology · Statistics 2025-07-01 Paul T. von Hippel

SEMMS (Scalable Empirical-Bayes Model for Marker Selection) is a variable-selection procedure for generalized linear models that uses a three-component normal mixture prior on regression coefficients. In its original form, SEMMS assumes…

Computation · Statistics 2026-03-18 Haim Bar , Martin T. Wells

How might a smooth probability distribution be estimated, with accurately quantified uncertainty, from a limited amount of sampled data? Here we describe a field-theoretic approach that addresses this problem remarkably well in one…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Wei-Chia Chen , Ammar Tareen , Justin B. Kinney

Mixtures of generalized normal distributions (MGND) have gained popularity for modelling datasets with complex statistical behaviours. However, the estimation of the shape parameter within the maximum likelihood framework is quite complex,…

Methodology · Statistics 2025-06-03 Pierdomenico Duttilo , Stefano Antonio Gattone

We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

Machine Learning · Statistics 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

When fitting generalized linear mixed models (GLMMs), one important decision to make relates to the choice of the random effects distribution. As the random effects are unobserved, misspecification of this distribution is a real…

Methodology · Statistics 2024-12-02 Quan Vu , Francis K. C. Hui , Samuel Muller , A. H. Welsh

How to estimate heterogeneity, e.g. the effect of some variable differing across observations, is a key question in political science. Methods for doing so make simplifying assumptions about the underlying nature of the heterogeneity to…

Methodology · Statistics 2021-03-31 Max Goplerud

Probability theory has become the predominant framework for quantifying uncertainty across scientific and engineering disciplines, with a particular focus on measurement and control systems. However, the widespread reliance on simple…

Estimates of uncertainty or variance in experimental means are central to physics. This is especially the case for `world averages' of fundamental physical parameters in particle physics, which aggregate results from a number of experiments…

High Energy Physics - Experiment · Physics 2023-10-13 Fintan Costello , Paul Watts

We consider nonparametric measurement error density deconvolution subject to heteroscedastic measurement errors as well as symmetry about zero and shape constraints, in particular unimodality. The problem is motivated by applications where…

Methodology · Statistics 2020-02-19 Ya Su , Anirban Bhattacharya , Yan Zhang , Nilanjan Chatterjee , Raymond J. Carroll

Meta-analysis is widely used to integrate results from multiple experiments to obtain generalized insights. Since meta-analysis datasets are often heteroscedastic due to varying subgroups and temporal heterogeneity arising from experiments…

Methodology · Statistics 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa , Keiichi Ochiai , Takahiro Hoshino

The counterfactual distribution models the effect of the treatment in the untreated group. While most of the work focuses on the expected values of the treatment effect, one may be interested in the whole counterfactual distribution or…

Machine Learning · Statistics 2022-11-04 Diego Martinez-Taboada , Dino Sejdinovic

Robust estimators for generalized linear models (GLMs) are not easy to develop due to the nature of the distributions involved. Recently, there has been growing interest in robust estimation methods, particularly in contexts involving a…

Methodology · Statistics 2025-07-08 Marina Valdora , Claudio Agostinelli
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