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Recurrent COVID-19 outbreaks have placed immense strain on the hospital system in Quebec. We develop a Bayesian three-state coupled Markov switching model to analyze COVID-19 outbreaks across Quebec based on admissions in the 30 largest…

Applications · Statistics 2024-09-24 Dirk Douwes-Schultz , Alexandra M. Schmidt , Yannan Shen , David Buckeridge

Modern biomedical survival studies with high-dimensional genomic and clinical predictors are challenged by missing covariates. Existing methods conduct inference through penalization and debiasing when the number of covariates diverges with…

Methodology · Statistics 2026-05-22 Zhilin Zhang , Yi Li

We introduce a class of continuous-time bivariate phase-type distributions for modeling dependencies from common shocks. The construction uses continuous-time Markov processes that evolve identically until an internal common-shock event,…

Statistics Theory · Mathematics 2025-12-01 Martin Bladt , Oscar Peralta , Jorge Yslas

Conventional joint modeling approaches generally characterize the relationship between longitudinal biomarkers and discrete event occurrences within terminal, recurring or competing risk settings, thereby offering a limited representation…

Methodology · Statistics 2026-05-26 Félix Laplante , Christophe Ambroise

Medical advances have increased cancer survival rates and the possibility of finding a cure. Hence, it is crucial to evaluate the impact of treatments both in terms of cure and prolongation of survival. To achieve this, we may use a Cox…

Methodology · Statistics 2024-12-31 Marta Cipriani , Marta Fiocco , Marco Alfò , Maria Quelhas , Eni Musta

This chapter presents an introduction to Markovian modeling for the analysis of sequence data. Contrary to the deterministic approach seen in the previous sequence analysis chapters, Markovian models are probabilistic models, focusing on…

Methodology · Statistics 2023-09-18 Jouni Helske , Satu Helske , Mohammed Saqr , Sonsoles López-Pernas , Keefe Murphy

Time-to-event outcomes are commonly used as primary endpoints in randomized clinical trials. Despite this, relatively little work incorporates baseline covariate information while also accounting for stratified randomization, a common form…

Methodology · Statistics 2026-05-01 Raphael C. Kim , Brian Gilbert , Ramin Zabih , Michele Santacatterina , Ivan Diaz

We present a stochastic model of population dynamics exploiting cross-sectional data in trend analysis and forecasts for groups and cohorts of a population. While sharing the convenient features of classic Markov models, it alleviates the…

Applications · Statistics 2017-06-20 Agnieszka Werpachowska , Roman Werpachowski

Two-phase sampling designs have been widely adopted in epidemiological studies to reduce costs when measuring certain biomarkers is prohibitively expensive. Under these designs, investigators commonly relate survival outcomes to risk…

Methodology · Statistics 2025-12-12 Jooho Kim , Yei Eun Shin

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

Methodology · Statistics 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

The semiparametric accelerated failure time model is not as widely used as the Cox relative risk model mainly due to computational difficulties. Recent developments in least squares estimation and induced smoothing estimating equations…

Methodology · Statistics 2015-06-02 Steven Chiou , Junghi Kim , Jun Yan

A time-varying bivariate copula joint model, which models the repeatedly measured longitudinal outcome at each time point and the survival data jointly by both the random effects and time-varying bivariate copulas, is proposed in this…

Methodology · Statistics 2024-12-03 Zili Zhang , Christiana Charalambous , Peter Foster

Prior to clinical applications, it is critical that risk prediction models are evaluated in independent studies that did not contribute to model development. While prospective cohort studies provide a natural setting for model validation,…

Methodology · Statistics 2017-10-13 Parichoy Pal Choudhury , Anil K. Chaturvedi , Nilanjan Chatterjee

Prevalent cohort sampling is commonly used to study the natural history of a disease when the disease is rare or it usually takes a long time to observe the failure event. It is known, however, that the collected sample in this situation is…

Methodology · Statistics 2022-09-05 Omidali Aghababaei Jazi

Time-to-event analysis is an important statistical tool for allocating clinical resources such as ICU beds. However, classical techniques like the Cox model cannot directly incorporate images due to their high dimensionality. We propose a…

Image and Video Processing · Electrical Eng. & Systems 2021-08-24 Michelle Shu , Richard Strong Bowen , Charles Herrmann , Gengmo Qi , Michele Santacatterina , Ramin Zabih

In psoriatic arthritis, it is important to understand the joint activity (represented by swelling and pain) and damage processes because both are related to severe physical disability. This paper aims to provide a comprehensive…

Applications · Statistics 2017-04-04 Sean Yiu , Vernon T. Farewell , Brian D. M. Tom

McCullagh and Yang (2006) suggest a family of classification algorithms based on Cox processes. We further investigate the log Gaussian variant which has a number of appealing properties. Conditioned on the covariates, the distribution over…

Machine Learning · Statistics 2014-06-23 Alexander G. de. G Matthews , Zoubin Ghahramani

Decision models can combine information from different sources to simulate the long-term consequences of alternative strategies in the presence of uncertainty. A cohort state-transition model (cSTM) is a decision model commonly used in…

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 this study, we consider sequences drawn from time-homogeneous Markov chains and introduce a novel approach for estimating first hitting-time distributions to specified terminal states. Our method- ology is based on the…

Statistics Theory · Mathematics 2026-05-19 Mikael Escobar-Bach , Alexandre Popier , Malo Sahin