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Countries officially record the number of COVID-19 cases based on medical tests of a subset of the population with unknown participation bias. For prevalence estimation, the official information is typically discarded and, instead, small…

Methodology · Statistics 2020-12-25 Stéphane Guerrier , Christoph Kuzmics , Maria-Pia Victoria-Feser

Statistical inference for discretely observed jump-diffusion processes is a complex problem which motivates new methodological challenges. Thus existing approaches invariably resort to time-discretisations which inevitably lead to…

Methodology · Statistics 2023-03-02 Flávio B. Gonçalves , Krzysztof G. Łatuszyński , Gareth O. Roberts

Traditional compartmental models capture population-level dynamics but fail to characterize individual-level risk. The computational cost of exact likelihood evaluation for partially observed individual-based models, however, grows…

Methodology · Statistics 2026-01-27 Lorenzo Rimella , Nick Whiteley , Chris Jewell , Paul Fearnhead , Michael Whitehouse

This paper introduces to readers the new concept and methodology of confidence distribution and the modern-day distributional inference in statistics. This discussion should be of interest to people who would like to go into the depth of…

Methodology · Statistics 2021-09-07 Yifan Cui , Min-ge Xie

We propose and study a fully efficient method to estimate associations of an exposure with disease incidence when both, incident cases and prevalent cases, i.e. individuals who were diagnosed with the disease at some prior time point and…

Methodology · Statistics 2018-03-20 Marlena Maziarz , Yukun Liu , Jing Qin , Ruth Pfeiffer

Epidemiologic studies often evaluate the association between an exposure and an event risk. When time-varying, exposure updates usually occur at discrete visits although changes are in continuous time and survival models require values to…

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

Methodology · Statistics 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

Following the recent publication of our book on Exploring the Health State of a Population by Dynamic Modeling Methods in The Springer Series on Demographic Methods and Population Analysis (DOI 10.1007/978-3-319-65142-2) we provide this…

Quantitative Methods · Quantitative Biology 2017-11-28 Christos H Skiadas , Charilaos Skiadas

During an epidemic, the infectiousness of infected individuals is known to depend on the time since the individual was infected, that is called the age of infection. Here we study the parameter identifiability of the Kermack-McKendrick…

Analysis of PDEs · Mathematics 2023-05-10 Jacques Demongeot , Quentin Griette , Yvon Maday , Pierre Magal

We consider a compositional data analysis approach to forecasting the age distribution of death counts. Using the age-specific period life-table death counts in Australia obtained from the Human Mortality Database, the compositional data…

Applications · Statistics 2020-09-22 Han Lin Shang , Steven Haberman

Dependent survival data arise in many contexts. One context is clustered survival data, where survival data are collected on clusters such as families or medical centers. Dependent survival data also arise when multiple survival times are…

Methodology · Statistics 2022-05-12 Malka Gorfine , David M. Zucker

This paper focuses on nonparametric statistical inference of the hazard rate function of discrete distributions based on $\delta$-record data. We derive the explicit expression of the maximum likelihood estimator and determine its exact…

Statistics Theory · Mathematics 2025-04-03 Martín Alcalde , Miguel Lafuente , F. Javier López , Lina Maldonado , Gerardo Sanz

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who have recovered from the disease as quickly…

Information Theory · Computer Science 2022-06-15 Melih Bastopcu , Sennur Ulukus

Chronic diseases frequently co-occur in patterns that are unlikely to arise by chance, a phenomenon known as multimorbidity. This growing challenge for patients and healthcare systems is amplified by demographic aging and the rising burden…

Physics and Society · Physics 2025-10-14 Johanna Einsiedler , Katharina Ledebur , Peter Klimek , Laust Hvas Mortensen

Observational cohort data is an important source of information for understanding the causal effects of treatments on survival and the degree to which these effects are mediated through changes in disease-related risk factors. However,…

Methodology · Statistics 2026-05-20 Saurabh Bhandari , Michael J. Daniels , Juned Siddique

This note considers the problem of conducting statistical inference on the share of individuals in some subgroup of a population that experience some event. The specific complication is that the size of the subgroup needs to be estimated,…

Applications · Statistics 2020-05-15 Christoph Rothe

In this paper, we study the nonparametric maximum likelihood estimator for an event time distribution function at a point in the current status model with observation times supported on a grid of potentially unknown sparsity and with…

Statistics Theory · Mathematics 2012-05-29 Runlong Tang , Moulinath Banerjee , Michael R. Kosorok

Over the course of the COVID-19 pandemic, Generalised Additive Models (GAMs) have been successfully employed on numerous occasions to obtain vital data-driven insights. In this paper we further substantiate the success story of GAMs,…

Relevant events in a three state illness-death model (IDM) of a chronic disease are the diagnosis of the disease and death with or without the disease. In this article a simulation framework for populations moving in the IDM is presented.…

Populations and Evolution · Quantitative Biology 2013-01-01 Ralph Brinks

We investigate jointly modeling Age-specific rates of various causes of death in a multinational setting. We apply Multi-Output Gaussian Processes (MOGP), a spatial machine learning method, to smooth and extrapolate multiple cause-of-death…

Applications · Statistics 2021-11-15 Nhan Huynh , Mike Ludkovski
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