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We propose a modified version of the three-step estimation method for the latent class model with covariates, which may be used to estimate latent Markov models for longitudinal data. The three-step estimation approach we propose is based…

统计方法学 · 统计学 2014-02-06 Francesco Bartolucci , Giorgio E. Montanari , Silvia Pandolfi

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is…

应用统计 · 统计学 2012-02-21 Francesco Bartolucci , Fulvia Pennoni , Giorgio Vittadini

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

We compare different selection criteria to choose the number of latent states of a multivariate latent Markov model for longitudinal data. This model is based on an underlying Markov chain to represent the evolution of a latent…

统计方法学 · 统计学 2012-12-04 Silvia Bacci , Silvia Pandolfi , Fulvia Pennoni

Discrete latent space models have recently achieved performance on par with their continuous counterparts in deep variational inference. While they still face various implementation challenges, these models offer the opportunity for a…

机器学习 · 统计学 2023-08-22 Max Cohen , Maurice Charbit , Sylvain Le Corff

Observational longitudinal studies are a common means to study treatment efficacy and safety in chronic mental illness. In many such studies, treatment changes may be initiated by either the patient or by their clinician and can thus vary…

统计方法学 · 统计学 2020-06-12 Zekun Xu , Eric Laber , Ana-Maria Staicu , Emanuel Severus

Consider a subject or unit in a longitudinal biomedical, public health, engineering, economic, or social science study which is being monitored over a possibly random duration. Over time this unit experiences competing recurrent events and…

统计方法学 · 统计学 2024-12-30 Lili Tong , Piaomu Liu , Edsel Pena

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

统计计算 · 统计学 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

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

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

Continuous-time multistate models are widely used for analyzing interval-censored data on disease progression over time. Sometimes, diseases manifest differently and what appears to be a coherent collection of symptoms is the expression of…

统计方法学 · 统计学 2024-10-08 Yidan Shi , Leilei Zeng , Mary E. Thompson , Suzanne L. Tyas

We illustrate a class of conditional models for the analysis of longitudinal data suffering attrition in random effects models framework, where the subject-specific random effects are assumed to be discrete and to follow a time-dependent…

统计方法学 · 统计学 2014-04-28 Antonello Maruotti

Progressive diseases worsen over time and are characterised by monotonic change in features that track disease progression. Here we connect ideas from two formerly separate methodologies -- event-based and hidden Markov modelling -- to…

机器学习 · 计算机科学 2021-06-07 Peter A. Wijeratne , Daniel C. Alexander

Many relevant statistical and econometric models for the analysis of longitudinal data include a latent process to account for the unobserved heterogeneity between subjects in a dynamic fashion. Such a process may be continuous (typically…

统计理论 · 数学 2011-08-09 Francesco Bartolucci , Silvia Bacci , Fulvia Pennoni

Electronic health records contain valuable information for monitoring patients' health trajectories over time. Disease progression models have been developed to understand the underlying patterns and dynamics of diseases using these data as…

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

应用统计 · 统计学 2023-12-25 Francesco Lagona , Marco Mingione

Characterization of long-term disease dynamics, from disease-free to end-stage, is integral to understanding the course of neurodegenerative diseases such as Parkinson's and Alzheimer's; and ultimately, how best to intervene. Natural…

应用统计 · 统计学 2018-01-12 Dan Li , Samuel Iddi , Wesley K. Thompson , Michael C. Donohue

This work deals with the analysis of longitudinal ordinal responses. The novelty of the proposed approach is in modeling simultaneously the temporal dynamics of a latent trait of interest, measured via the observed ordinal responses, and…

统计方法学 · 统计学 2021-11-29 R. Colombi , S. Giordano , M. Kateri

Data collected from wearable devices and smartphones can shed light on an individual's pattern of behavioral and circadian routine. Phone use can be modeled as alternating event process, between the state of active use and the state of…

统计方法学 · 统计学 2022-12-13 Benny Ren , Ian Barnett

A penalized maximum likelihood estimation approach is proposed for discrete-time hidden Markov models where covariates affect the observed responses and serial dependence is considered. The proposed penalized maximum likelihood method…

统计方法学 · 统计学 2025-07-04 Luca Brusa , Fulvia Pennoni , Francesco Bartolucci , Romina Peruilh Bagolini
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