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Linear quantile regression models aim at providing a detailed and robust picture of the (conditional) response distribution as function of a set of observed covariates. Longitudinal data represent an interesting field of application of such…

统计方法学 · 统计学 2015-07-30 Maria Francesca Marino , Nikos Tzavidis , Marco Alfo'

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

统计方法学 · 统计学 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

Longitudinal data are characterized by the dependence between observations coming from the same individual. In a regression perspective, such a dependence can be usefully ascribed to unobserved features (covariates) specific to each…

统计方法学 · 统计学 2015-09-07 Maria Francesca Marino , Marco Alfó

In the context of multilevel longitudinal data, where sample units are collected in clusters, an important aspect that should be accounted for is the unobserved heterogeneity between sample units and between clusters. For this aim we…

统计理论 · 数学 2012-08-10 F. Bartolucci , M. Lupparelli

Hidden Markov models are widely used for modeling sequential data but typically have limited applicability in observational causal inference due to their strong conditional independence assumptions. I introduce feedback-augmented…

统计方法学 · 统计学 2025-03-21 Jouni Helske

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

统计方法学 · 统计学 2018-03-23 Maria Francesca Marino , Marco Alfo'

We introduce a restricted latent class exploratory model for longitudinal data with ordinal attributes and respondent-specific covariates. Responses follow a time inhomogeneous hidden Markov model where the probability of a respondent's…

统计方法学 · 统计学 2026-03-11 Eric Alan Wayman , Steven Andrew Culpepper , Jeff Douglas , Jesse Bowers

We demonstrate the use of a multidimensional extension of the latent Markov model to analyse data from studies with correlated binary responses in developmental psychology. In particular, we consider an experiment based on a battery of…

应用统计 · 统计学 2025-01-08 Francesco Bartolucci , Ivonne L. Solis-Trapala

We provide a comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data. The main assumption behind these models is that the response variables are conditionally independent given a latent process…

统计理论 · 数学 2010-03-16 F. Bartolucci , A. Farcomeni , F. Pennoni

Multivariate data that combine binary, categorical, count and continuous outcomes are common in the social and health sciences. We propose a semiparametric Bayesian latent variable model for multivariate data of arbitrary type that does not…

应用统计 · 统计学 2014-01-14 Jonathan Gruhl , Elena A. Erosheva , Paul K. Crane

We propose a M-quantile regression model for the analysis of multivariate, continuous, longitudinal data. M-quantile regression represents an appealing alternative to standard regression models, as it combines the robustness of quantile and…

Individual-specific, time-constant, random effects are often used to model dependence and/or to account for omitted covariates in regression models for longitudinal responses. Longitudinal studies have known a huge and widespread use in the…

统计方法学 · 统计学 2026-01-14 Marco Alfo' , Roberto Rocci

This paper proposes a maximum-likelihood approach to jointly estimate marginal conditional quantiles of multivariate response variables in a linear regression framework. We consider a slight reparameterization of the Multivariate Asymmetric…

统计方法学 · 统计学 2018-08-06 Lea Petrella , Valentina Raponi

The systematic collection of longitudinal data is very common in practice, making mixed models widely used. Most developments around these models focus on modeling the mean trajectory of repeated measurements, typically under the assumption…

统计方法学 · 统计学 2025-12-16 Antoine Barbieri , Angelo Alcaraz , Mouna Abed , Hugues de Courson , Hélène Jacqmin-Gadda

We propose a novel approach for modeling multivariate longitudinal data in the presence of unobserved heterogeneity for the analysis of the Health and Retirement Study (HRS) data. Our proposal can be cast within the framework of linear…

统计方法学 · 统计学 2015-09-17 Laura Anderlucci , Cinzia Viroli

Longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results. Random effects or mixed models approaches,…

应用统计 · 统计学 2009-09-29 J. R. Lockwood , Daniel F. McCaffrey

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

应用统计 · 统计学 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

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…

统计方法学 · 统计学 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

This study introduces an integrated framework for predictive causal inference designed to overcome limitations inherent in conventional single model approaches. Specifically, we combine a Hidden Markov Model (HMM) for spatial health state…

统计方法学 · 统计学 2025-10-31 Byunghee Lee , Hye Yeon Sin , Joonsung Kang

We propose a causal hidden Markov model to achieve robust prediction of irreversible disease at an early stage, which is safety-critical and vital for medical treatment in early stages. Specifically, we introduce the hidden variables which…

计算机视觉与模式识别 · 计算机科学 2021-03-31 Jing Li , Botong Wu , Xinwei Sun , Yizhou Wang
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