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Finite Gaussian mixture models provide a powerful and widely employed probabilistic approach for clustering multivariate continuous data. However, the practical usefulness of these models is jeopardized in high-dimensional spaces, where…

Methodology · Statistics 2022-05-13 Alessandro Casa , Andrea Cappozzo , Michael Fop

Mixtures of linear mixed models (MLMMs) are useful for clustering grouped data and can be estimated by likelihood maximization through the EM algorithm. The conventional approach to determining a suitable number of components is to compare…

Applications · Statistics 2014-05-26 Siew Li Tan , David J. Nott

Mixed membership models are an extension of finite mixture models, where each observation can partially belong to more than one mixture component. A probabilistic framework for mixed membership models of high-dimensional continuous data is…

Introduction In analysis of time-to-event outcomes, a mixture cure (MC) model is preferred over a standard survival model when the sample includes individuals who will never experience the event of interest. Motivated by a cohort study of…

Applications · Statistics 2026-04-02 Changchang Xu , Laurent Briollais , Irene L Andrulis , Shelley B Bull

Targeted maximum likelihood estimation is a general methodology combining flexible ensemble learning and semiparametric efficiency theory in a two-step procedure for estimation of causal parameters. Proposed targeted maximum likelihood…

Methodology · Statistics 2021-06-22 Helene Charlotte Wiese Rytgaard , Frank Eriksson , Mark van der Laan

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

In this article, we introduce a new variable selection technique through trimming for finite mixture of regression models. Compared to the traditional variable selection techniques, the new method is robust and not sensitive to outliers.…

Methodology · Statistics 2019-05-06 Sijia Xiang , Weixin Yao

Modern variable selection procedures make use of penalization methods to execute simultaneous model selection and estimation. A popular method is the LASSO (least absolute shrinkage and selection operator), the use of which requires…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

In this paper, we study the model selection and structure specification for the generalised semi-varying coefficient models (GSVCMs), where the number of potential covariates is allowed to be larger than the sample size. We first propose a…

Statistics Theory · Mathematics 2015-10-30 Degui Li , Yuan Ke , Wenyang Zhang

Variable selection over a potentially large set of covariates in a linear model is quite popular. In the Bayesian context, common prior choices can lead to a posterior expectation of the regression coefficients that is a sparse (or nearly…

Methodology · Statistics 2025-12-02 Debamita Kundu , Riten Mitra , Jeremy T. Gaskins

For data with high-dimensional covariates but small to moderate sample sizes, the analysis of single datasets often generates unsatisfactory results. The integrative analysis of multiple independent datasets provides an effective way of…

Methodology · Statistics 2015-01-19 Yuan Huang , Qingzhao Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

In multi-state models based on high-dimensional data, effective modeling strategies are required to determine an optimal, ideally parsimonious model. In particular, linking covariate effects across transitions is needed to conduct joint…

Methodology · Statistics 2024-11-27 Kaya Miah , Jelle J. Goeman , Hein Putter , Annette Kopp-Schneider , Axel Benner

Maximum likelihood estimation in logistic regression with mixed effects is known to often result in estimates on the boundary of the parameter space. Such estimates, which include infinite values for fixed effects and singular or infinite…

Methodology · Statistics 2023-02-03 Philipp Sterzinger , Ioannis Kosmidis

The selection of essential variables in logistic regression is vital because of its extensive use in medical studies, finance, economics and related fields. In this paper, we explore four main typologies (test-based, penalty-based,…

Methodology · Statistics 2022-05-17 Souvik Bag , Kapil Gupta , Soudeep Deb

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

Methodology · Statistics 2026-02-12 Liangbo Lyu , Bingkai Wang

We propose a penalized least-squares method to fit the linear regression model with fitted values that are invariant to invertible linear transformations of the design matrix. This invariance is important, for example, when practitioners…

Methodology · Statistics 2024-10-11 Daeyoung Ham , Adam J. Rothman

This paper compares six different parameter estimation methods for shared frailty models via a series of simulation studies. A shared frailty model is a survival model that incorporates a random effect term, where the frailties are common…

Methodology · Statistics 2023-11-21 Tingxuan Wu , Cindy Feng , Longhai Li

High dimensional statistical problems arise from diverse fields of scientific research and technological development. Variable selection plays a pivotal role in contemporary statistical learning and scientific discoveries. The traditional…

Statistics Theory · Mathematics 2009-10-08 Jianqing Fan , Jinchi Lv

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen