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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…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

This paper studies birth and death processes in interactive random environments where the birth and death rates and the dynamics of the state of the environment are dependent on each other. Two models of a random environment are considered:…

Probability · Mathematics 2022-06-28 Guodong Pang , Andrey Sarantsev , Yuri Suhov

We present a novel methodology for integrating high resolution longitudinal data with the dynamic prediction capabilities of survival models. The aim is two-fold: to improve the predictive power while maintaining interpretability of the…

Applications · Statistics 2024-03-07 Giacomo Lancia , Meri Varkila , Olaf Cremer , Cristian Spitoni

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…

Applications · Statistics 2018-01-12 Dan Li , Samuel Iddi , Wesley K. Thompson , Michael C. Donohue

Longitudinal and survival sub-models are two building blocks for joint modelling of longitudinal and time to event data. Extensive research indicates separate analysis of these two processes could result in biased outputs due to their…

Methodology · Statistics 2022-09-22 Zili Zhang , Christiana Charalambous , Peter Foster

Many research questions concern treatment effects on outcomes that can recur several times in the same individual. For example, medical researchers are interested in treatment effects on hospitalizations in heart failure patients and sports…

Methodology · Statistics 2024-12-31 Matias Janvin , Jessica G. Young , Pål C. Ryalen , Mats J. Stensrud

State-space models are dynamical systems defined by a latent and an observed process. In ecology, stochastic state-space models in discrete time are most often used to describe the imperfectly observed dynamics of population sizes or animal…

Methodology · Statistics 2025-08-13 Frederic Barraquand , Julien Gibaud

A goal of clinical researchers is to understand the progression of a disease through a set of biomarkers. Researchers often conduct observational studies, where they collect numerous samples from selected subjects throughout multiple years.…

Human-Computer Interaction · Computer Science 2020-07-27 Bum Chul Kwon

Clinical forecasting based on electronic medical records (EMR) can uncover the temporal correlations between patients' conditions and outcomes from sequences of longitudinal clinical measurements. In this work, we propose an…

Machine Learning · Computer Science 2019-12-05 Yuan Xue , Denny Zhou , Nan Du , Andrew Dai , Zhen Xu , Kun Zhang , Claire Cui

Life course epidemiology of chronic diseases has been dominated so far by the environmental approach. Whether it focuses on early life exposures and events or later lifestyle behaviors, this approach assumes that previous life experiences…

Methodology · Statistics 2022-09-29 Marc Delord , Annastazia Learoyd , Abdel Douiri

In order for clinicians to manage disease progression and make effective decisions about drug dosage, treatment regimens or scheduling follow up appointments, it is necessary to be able to identify both short and long-term trends in…

Quantitative Methods · Quantitative Biology 2016-12-06 Norman Poh , Simon Bull , Santosh Tirunagari , Nicholas Cole , Simon de Lusignan

In medical research, understanding changes in outcome measurements is crucial for inferring shifts in health conditions. However, traditional methods often struggle with large, irregularly longitudinal data and fail to account for the…

Applications · Statistics 2025-03-13 Yu Luo , Chris Sherlock

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…

In biostatistics and medical research, longitudinal data are often composed of repeated assessments of a variable (e.g., blood pressure or other biomarkers) and dichotomous indicators to mark an event of interest (e.g., recovery from…

Applications · Statistics 2019-09-13 Sezen Cekic , Stephen Aichele , Andreas M. Brandmaier , Ylva Köhncke , Paolo Ghisletta

Successful modeling of degradation performance data is essential for accurate reliability assessment and failure predictions of highly reliable product units. The degradation performance measurements over time are highly heterogeneous. Such…

Applications · Statistics 2021-08-17 Xuxue Sun , Wenjun Cai , Qiong Zhang , Mingyang Li

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…

Methodology · Statistics 2014-04-07 Alessio Farcomeni , Sara Viviani

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…

Methodology · Statistics 2025-10-31 Byunghee Lee , Hye Yeon Sin , Joonsung Kang

Dynamic prediction of future clinical outcomes based on longitudinally measured predictors plays a crucial role in disease management and patient counseling, particularly when conventional static models are inadequate. Joint modeling of…

Methodology · Statistics 2025-07-30 Wenhao Li , Shikun Wang , Zhe Yin , Brad C. Astor , Wei Yang , Tom H. Greene , Liang Li

We introduce a new dynamic model with the capability of recognizing both activities that an individual is performing as well as where that ndividual is located. Our model is novel in that it utilizes a dynamic graphical model to jointly…

Artificial Intelligence · Computer Science 2012-07-02 Amarnag Subramanya , Alvin Raj , Jeff A. Bilmes , Dieter Fox

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…

Statistics Theory · Mathematics 2012-08-10 F. Bartolucci , M. Lupparelli