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Interval-censored multi-state data arise in many studies of chronic diseases, where the health status of a subject can be characterized by a finite number of disease states and the transition between any two states is only known to occur…

Methodology · Statistics 2022-09-19 Yu Gu , Donglin Zeng , Gerardo Heiss , D. Y. Lin

A widely-used model for determining the long-term health impacts of public health interventions, often called a "multistate lifetable", requires estimates of incidence, case fatality, and sometimes also remission rates, for multiple…

Applications · Statistics 2023-03-23 Christopher Jackson , Belen Zapata-Diomedi , James Woodcock

Analyzing disease progression patterns can provide useful insights into the disease processes of many chronic conditions. These analyses may help inform recruitment for prevention trials or the development and personalization of treatments…

Many applications in medical statistics as well as in other fields can be described by transitions between multiple states (e.g. from health to disease) experienced by individuals over time. In this context, multi-state models are a popular…

This work introduces a Bayesian smoothing approach for the joint graduation of mortality rates across multiple populations. In particular, dynamical linear models are used to induce smoothness across ages through structured dependence,…

A multistate cure model is a statistical framework used to analyze and represent the transitions individuals undergo between different states over time, accounting for the possibility of being cured by initial treatment. This model is…

Methodology · Statistics 2024-12-02 Yilin Jiang , Harm van Tinteren , Marta Fiocco

Multi-state survival analysis considers several potential events of interest along a disease pathway. Such analyses are crucial to model complex patient trajectories and are increasingly being used in epidemiological and health economic…

Methodology · Statistics 2021-04-30 Jonathan Broomfield , Caroline E. Weibull , Michael J. Crowther

In this paper, we demonstrate through the use of matrix calculus a transparent analysis of fractional inhomogeneous Markov models for life insurance where transition matrices commute. The resulting formulae are intuitive matrix…

Probability · Mathematics 2021-10-25 Martin Bladt

The Aalen-Johansen estimator generalizes the Kaplan-Meier estimator for independently left-truncated and right-censored survival data to estimating the transition probability matrix of a time-inhomogeneous Markov model with finite state…

Methodology · Statistics 2020-04-15 Alexandra Niessl , Arthur Allignol , Carina Mueller , Jan Beyersmann

We propose a semi-structured discrete-time multi-state model to analyse mortgage delinquency transitions. This model combines an easy-to-understand structured additive predictor, which includes linear effects and smooth functions of time…

Applications · Statistics 2026-03-30 Victor Medina-Olivares , Wangzhen Xia , Stefan Lessmann , Nadja Klein

Multi-state models are frequently applied for representing processes evolving through a discrete set of state. Important classes of multi-state models arise when transitions between states may depend on the time since entry into the current…

Methodology · Statistics 2022-02-28 Rosario Barone , Andrea Tancredi

Multiple sclerosis is a disease that affects the brain and spinal cord, it can lead to severe disability and has no known cure. The majority of prior work in machine learning for multiple sclerosis has been centered around using Magnetic…

Machine Learning · Computer Science 2023-09-12 Alexander Norcliffe , Lev Proleev , Diana Mincu , Fletcher Lee Hartsell , Katherine Heller , Subhrajit Roy

Markov cohort state-transition models have been the standard approach for simulating the prognosis of patients or, more generally, the life trajectories of individuals over a time period. Current approaches for estimating the variance of a…

Applications · Statistics 2022-04-07 Rowan Iskandar , Cassandra Berns

Predicting stroke risk is a complex challenge that can be enhanced by integrating diverse clinically available data modalities. This study introduces a self-supervised multimodal framework that combines 3D brain imaging, clinical data, and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Camille Delgrange , Olga Demler , Samia Mora , Bjoern Menze , Ezequiel de la Rosa , Neda Davoudi

Hidden Markov models (HMMs) offer a robust and efficient framework for analyzing time series data, modelling both the underlying latent state progression over time and the observation process, conditional on the latent state. However, a…

Applications · Statistics 2024-07-19 Ioannis Rotous , Alex Diana , Alessio Farcomeni , Eleni Matechou , Andréa Thiebault

This paper presents new theory and methodology for the Bayesian estimation of overfitted hidden Markov models, with finite state space. The goal is then to achieve posterior emptying of extra states. A prior configuration is constructed…

Methodology · Statistics 2016-02-09 Zoé van Havre , Judith Rousseau , Nicole White , Kerrie Mengersen

To draw real-world evidence about the comparative effectiveness of multiple time-varying treatments on patient survival, we develop a joint marginal structural survival model and a novel weighting strategy to account for time-varying…

Methodology · Statistics 2023-08-08 Liangyuan Hu , Jiayi Ji , Himanshu Joshi , Erick Scott , Fan Li

Background: While deep learning technology, which has the capability of obtaining latent representations based on large-scale data, can be a potential solution for the discovery of a novel aging biomarker, existing deep learning methods for…

Machine Learning · Computer Science 2023-02-02 Seong-Eun Moon , Ji Won Yoon , Shinyoung Joo , Yoohyung Kim , Jae Hyun Bae , Seokho Yoon , Haanju Yoo , Young Min Cho

Multi-state capture-recapture data comprise individual-specific sighting histories together with information on individuals' states related, for example, to breeding status, infection level, or geographical location. Such data are often…

Applications · Statistics 2023-11-16 Sina Mews , Roland Langrock , Ruth King , Nicola Quick