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This paper develops a two-part finite mixture quantile regression model for semi-continuous longitudinal data. The proposed methodology allows heterogeneity sources that influence the model for the binary response variable, to influence…

Methodology · Statistics 2021-07-19 Antonello Maruotti , Luca Merlo , Lea Petrella

Time-varying covariates in longitudinal studies frequently evolve through reciprocal feedback, undergo role reversal, and reflect unobserved individual heterogeneity. Standard statistical frameworks often assume fixed covariate roles and…

Methodology · Statistics 2026-02-27 Niloofar Ramezani , Pascal Nitiema , Jeffrey R. Wilson

Missing data on response variables are common in clinical studies. Corresponding to the uncertainty of missing mechanism, theoretical frameworks on controlled imputation have been developed. In practice, it is recommended to conduct a…

Methodology · Statistics 2022-03-08 Tony Wang , Ying Liu

In longitudinal studies, time-varying covariates are often endogenous, meaning their values depend on both their own history and that of the outcome variable. This violates key assumptions of Generalized Linear Mixed Effects Models (GLMMs),…

Understanding the help and support that is exchanged between family members of different generations is of increasing importance, with research questions in sociology and social policy focusing on both predictors of the levels of help given…

Methodology · Statistics 2025-02-19 Jouni Kuha , Siliang Zhang , Fiona Steele

Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in conventional multivariate or multiple-response linear regression…

Statistics Theory · Mathematics 2011-02-28 Yichao Wu , Jianqing Fan , Hans-Georg Müller

Logistic regression is the most commonly used method for constructing predictive models for binary responses. One significant drawback to this approach, however, is that the asymptotes of the logistic response function are fixed at 0 and 1,…

Methodology · Statistics 2026-02-09 Anthony Almudevar , Jacob Almudevar

In this review paper, some applications of the mixed effect modeling in medial image processing and longitudinal analysis is studied. For this purpose, a general structure is extracted from some of the researches in the literature. This…

Medical Physics · Physics 2018-03-13 Fatemeh Nasiri , Oscar Acosta-Tamayo

In responding to rating questions, an individual may give answers either according to his/her knowledge/awareness or to his/her level of indecision/uncertainty, typically driven by a response style. As ignoring this dual behaviour may lead…

Methodology · Statistics 2021-04-08 Roberto Colombi , Sabrina Giordano , Anna Gottard , Maria Iannario

We study the multiplicative hazards model with intermittently observed longitudinal covariates and time-varying coefficients. For such models, the existing ad hoc approach, such as the last value carried forward, is biased. We propose a…

Methodology · Statistics 2025-03-13 Zhuowei Sun , Hongyuan Cao

There has been a lot of work fitting Ising models to multivariate binary data in order to understand the conditional dependency relationships between the variables. However, additional covariates are frequently recorded together with the…

Machine Learning · Statistics 2012-09-28 Jie Cheng , Elizaveta Levina , Pei Wang , Ji Zhu

Different dependence scenarios can arise in multivariate extremes, entailing careful selection of an appropriate class of models. In bivariate extremes, the variables are either asymptotically dependent or are asymptotically independent.…

Methodology · Statistics 2015-10-30 Jennifer Wadsworth , Jonathan Tawn , Anthony Davison , Daniel Elton

Intensive longitudinal biomarker data are increasingly common in scientific studies that seek temporally granular understanding of the role of behavioral and physiological factors in relation to outcomes of interest. Intensive longitudinal…

Methodology · Statistics 2024-01-17 Mingyan Yu , Zhenke Wu , Margaret Hicken , Michael R. Elliott

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

Functional data analysis is a fast evolving branch of statistics. Estimation procedures for the popular functional linear model either suffer from lack of robustness or are computationally burdensome. To address these shortcomings, a…

Methodology · Statistics 2021-08-27 Ioannis Kalogridis , Stefan Van Aelst

We propose a new, flexible model for inference of the effect of a binary treatment on a continuous outcome observed over subsequent time periods. The model allows to seperate association due to endogeneity of treatment selection from…

Methodology · Statistics 2021-03-02 Helga Wagner , Sylvia Frühwirth-Schnatter , Liana Jacobi

Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

Computation · Statistics 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

This paper introduces the method of composite quantile factor model for factor analysis in high-dimensional panel data. We propose to estimate the factors and factor loadings across multiple quantiles of the data, allowing the estimates to…

Econometrics · Economics 2024-12-03 Xiao Huang

Models based on multivariate t distributions are widely applied to analyze data with heavy tails. However, all the marginal distributions of the multivariate t distributions are restricted to have the same degrees of freedom, making these…

Methodology · Statistics 2016-04-08 Zhichao Jiang , Peng Ding

In the analysis of binary longitudinal data, it is of interest to model a dynamic relationship between a response and covariates as a function of time, while also investigating similar patterns of time-dependent interactions. We present a…

Methodology · Statistics 2023-04-11 Jinwon Sohn , Seonghyun Jeong , Young Min Cho , Taeyoung Park
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