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We investigate the problem of estimating the distribution of the individual reproduction number governing the COVID-19 pandemic. Under the assumption that this random variable follows a Negative Binomial distribution, we focus on…

Applications · Statistics 2021-01-21 Alexander Braumann , Jonas Krampe , Jens-Peter Kreiss , Efstathios Paparoditis

It is well known that the confirmed COVID-19 infection is only a fraction of the true fraction. In this paper we use an artificial neural network to learn the connection between the confirmed infection count, the testing data, and the true…

Populations and Evolution · Quantitative Biology 2023-06-26 Ning Jiang , Charles Kolozsvary , Yao Li

Aim of this manuscript is to show a simple method to infer the time-course of new COVID-19 infections (the most important information in order to establish the effect of containment strategies) from available aggregated data, such as number…

Populations and Evolution · Quantitative Biology 2020-04-21 Andrea Pugliese , Sara Sottile

In the present article we introduce an epidemiological model for the investigation of the spread of epidemics caused by viruses. The model is applied specifically to COVID-19, the disease caused by the SARS-Cov-2 virus (aka "novel…

Populations and Evolution · Quantitative Biology 2020-04-10 Rodrigo A. Schulz , Carlos H. Coimbra-Araújo , Samuel W. S. Costiche

The SARS-CoV-2 pandemic has caused significant mortality and morbidity worldwide, sparing almost no community. As the disease will likely remain a threat for years to come, an understanding of the precise influences of human demographics…

Populations and Evolution · Quantitative Biology 2020-07-02 Niayesh Afshordi , Benjamin Holder , Mohammad Bahrami , Daniel Lichtblau

An SEIRS epidemic with disease fatalities is introduced in a growing population (modelled as a super-critical linear birth and death process). The study of the initial phase of the epidemic is stochastic, while the analysis of the major…

Populations and Evolution · Quantitative Biology 2017-03-29 Tom Britton , Désiré Ouédraogo

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

Methodology · Statistics 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

Following the emergence of a novel coronavirus (SARS-CoV-2) and its spread outside of China, Europe has experienced large epidemics. In response, many European countries have implemented unprecedented non-pharmaceutical interventions…

The estimation of the potential impact fraction (including the population attributable fraction) with continuous exposure data frequently relies on strong distributional assumptions. However, these assumptions are often violated if the…

I propose a finite sample inference procedure that uses a likelihood function derived from the randomization process within an experiment to conduct inference on various quantities that capture heterogeneous intervention effects. One such…

Methodology · Statistics 2020-09-03 Amanda Kowalski

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

We consider a stochastic epidemic model with sideward contact tracing. We assume that infection is driven by interactions within mixing events (gatherings of two or more individuals). Once an infective is diagnosed, each individual who was…

Populations and Evolution · Quantitative Biology 2025-03-28 Dongni Zhang , Martina Favero

Statistical analyses of multipopulation studies often use the data to select a particular population as the target of inference. For example, a confidence interval may be constructed for a population only in the event that its sample mean…

Statistics Theory · Mathematics 2025-09-18 Peter Hoff , Surya Tokdar

We review and conceptualize recent advances in causal inference under network interference, drawing on a complex and diverse body of work that ranges from causal inference, statistical network analysis, economics, the health sciences, and…

Methodology · Statistics 2025-08-12 Subhankar Bhadra , Michael Schweinberger

The recent SARS-COV-2 virus outbreak has created an unprecedented global health crisis! The disease is showing alarming trends with the number of people getting infected with this disease, new cases and death rate are all highlighting the…

Digital Libraries · Computer Science 2020-04-24 Sujit Bhattacharya , Shubham Singh

Recently, it has been shown that the transition rates of the illness-death model (IDM) for chronic conditions are related to the percentages of people in the states by a three-dimensional system of differential equations [Bri24]. The aim of…

Applications · Statistics 2025-02-05 Ralph Brinks

Survival analysis aims at modeling the relationship between covariates and event occurrence with some untracked (censored) samples. In implementation, existing methods model the survival distribution with strong assumptions or in a discrete…

Machine Learning · Computer Science 2023-05-25 Yu Ling , Weimin Tan , Bo Yan

Estimation of epidemiological and population parameters from molecular sequence data has become central to the understanding of infectious disease dynamics. Various models have been proposed to infer details of the dynamics that describe…

Populations and Evolution · Quantitative Biology 2014-12-25 Alex Popinga , Tim Vaughan , Tanja Stadler , Alexei Drummond

We study the spread of susceptible-infected-recovered (SIR) infectious diseases where an individual's infectiousness and probability of recovery depend on his/her "age" of infection. We focus first on early outbreak stages when stochastic…

Populations and Evolution · Quantitative Biology 2009-05-14 Joel Miller , Bahman Davoudi , Rafael Meza , Anja Slim , Babak Pourbohloul

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco