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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

We propose an inferential approach for maximum likelihood estimation of the hidden Markov models for continuous responses. We extend to the case of longitudinal observations the finite mixture model of multivariate Gaussian distributions…

统计方法学 · 统计学 2021-07-01 Silvia Pandolfi , Francesco Bartolucci , Fulvia Pennoni

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 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

In health cohort studies, repeated measures of markers are often used to describe the natural history of a disease. Joint models allow to study their evolution by taking into account the possible informative dropout usually due to clinical…

We propose a joint model for a time-to-event outcome and a quantile of a continuous response repeatedly measured over time. The quantile and survival processes are associated via shared latent and manifest variables. Our joint model…

统计方法学 · 统计学 2014-04-07 Alessio Farcomeni , Sara Viviani

The Expectation Maximization (EM) algorithm is a versatile tool for model parameter estimation in latent data models. When processing large data sets or data stream however, EM becomes intractable since it requires the whole data set to be…

统计理论 · 数学 2012-10-18 Sylvain Le Corff , Gersende Fort

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

In longitudinal data a response variable is measured over time, or under different conditions, for a cohort of individuals. In many situations all intended measurements are not available which results in missing values. If the missing value…

统计方法学 · 统计学 2022-08-10 Ahmed M. Gad , Nesma M. Darwish

In cancer clinical trials, health-related quality of life (HRQoL) is an important endpoint, providing information about patients' well-being and daily functioning. However, missing data due to premature dropout can lead to biased estimates,…

应用统计 · 统计学 2025-03-07 Hortense Doms , Philippe Lambert , Catherine Legrand

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

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

We propose a Bayesian inference approach for a class of latent Markov models. These models are widely used for the analysis of longitudinal categorical data, when the interest is in studying the evolution of an individual unobservable…

统计方法学 · 统计学 2011-01-05 Francesco Bartolucci , Silvia Pandolfi

In longitudinal studies, subjects may be lost to follow-up, or miss some of the planned visits, leading to incomplete response sequences. When the probability of non-response, conditional on the available covariates and the observed…

统计方法学 · 统计学 2017-07-10 Alessandra Spagnoli , Maria Francesca Marino , Marco Alfò

We develop a recursion for hidden Markov model of any order h, which allows us to obtain the posterior distribution of the latent state at every occasion, given the previous h states and the observed data. With respect to the well-known…

统计理论 · 数学 2012-01-04 Francesco Bartolucci

In many medical studies, patients are followed longitudinally and interest is on assessing the relationship between longitudinal measurements and time to an event. Recently, various authors have proposed joint modeling approaches for…

应用统计 · 统计学 2010-11-16 Paul S. Albert , Joanna H. Shih

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

Performance evaluation of nursing homes is usually accomplished by the repeated administration of questionnaires aimed at measuring the health status of the patients during their period of residence in the nursing home. We illustrate how a…

应用统计 · 统计学 2009-08-18 Francesco Bartolucci , Monia Lupparelli , Giorgio E. Montanari

The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we…

系统与控制 · 电气工程与系统科学 2025-06-10 Dongyan Sui , Haotian Pu , Siyang Leng , Stefan Vlaski

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
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