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Large-scale testing is considered key to assess the state of the current COVID-19 pandemic. Yet, the link between the reported case numbers and the true state of the pandemic remains elusive. We develop mathematical models based on…

应用统计 · 统计学 2021-02-04 Michel Besserve , Simon Buchholz , Bernhard Schölkopf

We present two epidemiological models, which extend the classical SEIR model by accounting for the effect of indiscriminate quarantining, isolation of infected individuals based on testing and the presence of asymptomatic individuals. Given…

动力系统 · 数学 2020-11-30 Zuzana Chladná , Jana Kopfová , Dmitrii Rachinskii , Pavel Štepánek

Hypothesis testing is a statistical inference approach used to determine whether data supports a specific hypothesis. An important type is the two-sample test, which evaluates whether two sets of data points are from identical…

机器学习 · 计算机科学 2025-01-08 Weizhi Li , Visar Berisha , Gautam Dasarathy

Two-sample tests evaluate whether two samples are realizations of the same distribution (the null hypothesis) or two different distributions (the alternative hypothesis). We consider a new setting for this problem where sample features are…

机器学习 · 计算机科学 2022-07-20 Weizhi Li , Gautam Dasarathy , Karthikeyan Natesan Ramamurthy , Visar Berisha

Group testing can help maintain a widespread testing program using fewer resources amid a pandemic. In group testing, we are given $n$ samples, one per individual. These samples are arranged into $m < n$ pooled samples, where each pool is…

信息论 · 计算机科学 2022-01-20 Ritesh Goenka , Shu-Jie Cao , Chau-Wai Wong , Ajit Rajwade , Dror Baron

The COVID-19 pandemic has plagued the world for months. The U.S. has taken measures to counter it. On a daily basis, newly confirmed cases have been reported. In the early days, these numbers showed an increasing trend. Recently, the…

物理与社会 · 物理学 2020-05-21 Xiubin Bruce Wang , Chaolun Ma

Based on the well known SIR model, this paper develops a model for predicting the number of necessary testings of asymptomatic persons in order to push Reff below 1, thus suppressing an outbreak. The model considers R0, time for obtaining a…

种群与进化 · 定量生物学 2020-05-01 Helmut Hlavacs

We propose new, optimal methods for analyzing randomized trials, when it is suspected that treatment effects may differ in two predefined subpopulations. Such sub-populations could be defined by a biomarker or risk factor measured at…

统计方法学 · 统计学 2016-11-26 Michael Rosenblum , Han Liu , and En-Hsu Yen

The emergence of an epidemic evokes the need to monitor its spread and assess and validate any mitigation measures enacted by governments and administrative bodies in real time. We present here a method to observe and quantify this spread…

种群与进化 · 定量生物学 2024-11-06 Justin Trujillo , Valerica Raicu

With medical tests becoming increasingly available, concerns about over-testing and over-treatment dramatically increase. Hence, it is important to understand the influence of testing on treatment selection in general practice. Most…

统计方法学 · 统计学 2020-08-11 Yun Li , Irina Bondarenko , Michael R. Elliott , Timothy P. Hofer , Jeremy M. G. Taylor

Longitudinal cohorts to determine the incidence of HIV infection are logistically challenging, so researchers have sought alternative strategies. Recency test methods use biomarker profiles of HIV-infected subjects in a cross-sectional…

统计方法学 · 统计学 2022-01-13 Fei Gao , Marlena S. Bannick

We propose a partial identification method for estimating disease prevalence from serology studies. Our data are results from antibody tests in some population sample, where the test parameters, such as the true/false positive rates, are…

统计方法学 · 统计学 2020-06-30 Panos Toulis

In the context of a pandemic like COVID-19, and until most people are vaccinated, proactive testing and interventions have been proved to be the only means to contain the disease spread. Recent academic work has offered significant evidence…

In this article we propose a compartmental model for the dynamics of Coronavirus Disease 2019 (COVID-19). We take into account the presence of asymptomatic infections and the main policies that have been adopted so far to contain the…

种群与进化 · 定量生物学 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

Classical epidemiological models assume homogeneous populations. There have been important extensions to model heterogeneous populations, when the identity of the sub-populations is known, such as age group or geographical location. Here,…

机器学习 · 计算机科学 2023-02-10 Roberto Vega , Zehra Shah , Pouria Ramazi , Russell Greiner

In many applications, different populations are compared using data that are sampled in a biased manner. Under sampling biases, standard methods that estimate the difference between the population means yield unreliable inferences. Here we…

统计理论 · 数学 2019-11-12 Dave Zachariah , Petre Stoica

This paper provides a new unimodality test with application in hierarchical clustering methods. The proposed method denoted by signature test (Sigtest), transforms the data based on its statistics. The transformed data has much smaller…

机器学习 · 计算机科学 2014-01-10 Mahdi Shahbaba , Soosan Beheshti

The CoVid-19 is spreading pandemically all over the world. A rapid defeat of the pandemic requires carrying out on the population a mass screening, able to separate positive from negative cases. Such a cleaning will free a flow of…

种群与进化 · 定量生物学 2020-03-27 Benjamin Isac Fargion , Daniele Fargion , Pier Giorgio De Sanctis Lucentini , Emanuele Habib

I study the economic effects of testing during the outbreak of a novel disease. I propose a model where testing permits isolation of the infected and provides agents with information about the prevalence and lethality of the disease.…

综合经济学 · 经济学 2020-12-08 Francesco Furno

The experience of Singapur and South Korea makes it clear that under certain circumstances massive testing is an effective way for containing the advance of the COVID-19. In this paper, we propose a modified SEIR model which takes into…

应用统计 · 统计学 2020-12-24 José Luis Sainz-Pardo , José Valero