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The topic of this paper is prevalence estimation from the perspective of active information. Prevalence among tested individuals has an upward bias under the assumption that individuals' willingness to be tested for the disease increases…

Methodology · Statistics 2022-06-13 Ola Hössjer , Daniel Andrés Díaz-Pachón , Chen Zhao , J. Sunil Rao

An increasing number of control techniques are introduced to HIV infection problem to explore the options of helping clinical testing, optimizing drug treatments and to study the drug resistance situations. In such cases, complete/accurate…

Optimization and Control · Mathematics 2019-07-17 Fei Sun , Kamran Turkoglu

Respondent-Driven Sampling is a method to sample hard-to-reach human populations by link-tracing over their social networks. Beginning with a convenience sample, each person sampled is given a small number of uniquely identified coupons to…

Methodology · Statistics 2011-08-02 Krista J. Gile , Mark S. Handcock

People who inject drugs are an important population to study in order to reduce transmission of blood-borne illnesses including HIV and Hepatitis. In this paper we estimate the HIV and Hepatitis C prevalence among people who inject drugs,…

Applications · Statistics 2017-12-27 Miles Q. Ott , Krista J. Gile , Matthew T. Harrison , Lisa G. Johnston , Joseph W. Hogan

The probability-scale residual (PSR) is well defined across a wide variety of variable types and models, making it useful for studies of HIV/AIDS. In this manuscript, we highlight some of the properties of the PSR and illustrate its…

Applications · Statistics 2018-03-02 Bryan E. Shepherd , Qi Liu , Valentine Wanga , Chun Li

In causal inference, measuring treatment heterogeneity is crucial as it provides scientific insights into how treatments influence outcomes and guides personalized decision-making. In this work, we study semi-supervised settings where a…

Methodology · Statistics 2025-09-08 Yilizhati Anniwaer , Yuqian Zhang

New methods and theory have recently been developed to nonparametrically estimate cumulative incidence functions for competing risks survival data subject to current status censoring. In particular, the limiting distribution of the…

Methodology · Statistics 2012-01-12 Marloes H. Maathuis , Michael G. Hudgens

During primary HIV infection, the kinetics of plasma virus concentrations and CD4+ cell counts is very complex. Parametric and nonparametric models have been suggested for fitting repeated measurements of these markers. Alternatively,…

Applications · Statistics 2011-01-07 J. Drylewicz , J. Guedj , D. Commenges , R. Thiébaut

When testing for infections, the standard method is to test each subject individually. If testing methodology is such that samples from multiple subjects can be efficiently combined and tested at once, yielding a positive results if any one…

Methodology · Statistics 2020-04-01 Anže Slosar

In the quest for enhanced HIV prevention methods, the advent of antiretroviral drugs as pre-exposure prophylaxis (PrEP) has marked a significant stride forward. However, the ethical challenges in conducting placebo-controlled trials for new…

Methodology · Statistics 2024-07-09 Fei Gao , Holly Janes , Susan Buchbinder , Deborah Donnell

Biomedical studies that use electronic health records (EHR) data for inference are often subject to bias due to measurement error. The measurement error present in EHR data is typically complex, consisting of errors of unknown functional…

Methodology · Statistics 2020-06-16 Eric J. Oh , Bryan E. Shepherd , Thomas Lumley , Pamela A. Shaw

Comparative effectiveness evidence from randomized trials may not be directly generalizable to a target population of substantive interest when, as in most cases, trial participants are not randomly sampled from the target population.…

Methodology · Statistics 2022-04-12 Fan Li , Ashley L. Buchanan , Stephen R. Cole

Recent work has focused attention on statistical inference for the population distribution of the number of sexual partners based on survey data. The characteristics of these distributions are of interest as components of mathematical…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mark S. Handcock , James Holland Jones , Martina Morris

One way in which the human immunodeficiency virus (HIV-1) replicates within a host is by infecting activated CD4+ T-cells, which then produce additional copies of the virus. Even with the introduction of antiretroviral drug therapy, which…

Dynamical Systems · Mathematics 2016-04-18 Stephen Pankavich

To make informative public policy decisions in battling the ongoing COVID-19 pandemic, it is important to know the disease prevalence in a population. There are two intertwined difficulties in estimating this prevalence based on testing…

Methodology · Statistics 2020-12-01 Bryan Cai , John P. A. Ioannidis , Eran Bendavid , Lu Tian

We consider the standard three-component differential equation model for the growth of an HIV virion population in an infected host in the absence of drug therapy. The dynamical properties of the model are determined by the set of values of…

Populations and Evolution · Quantitative Biology 2011-07-19 Henry C Tuckwell , Patrick D Shipman

This study conducts a comparative analysis of stochastic and deterministic models to better understand the dynamics of the HIV epidemic across genders. By incorporating gender-specific transmission probabilities and treatment uptake rates,…

Populations and Evolution · Quantitative Biology 2025-01-30 Nuzhat Nuari Khan Rivu , Md Kamrujjaman , Shohel Ahmed

Methods for causal inference are well developed for binary and continuous exposures, but in many settings, the exposure has a substantial mass at zero-such exposures are called semi-continuous. We propose a general causal framework for such…

HIV is a deadly virus transmitted either through having of unprotected sex, mother to child transmission, sharing of unsterilized objects that is capable of making cut or wounds on the body, through blood or bodily fluid transmission. AIDS…

Populations and Evolution · Quantitative Biology 2016-09-19 M. O. Oladejo , Ali Onuche John

We study the problem of identifying a single infection source in a network under the susceptible-infected-recovered-infected (SIRI) model. We describe the infection model via a state-space model, and utilizing a state propagation approach,…

Physics and Society · Physics 2015-02-13 Wuhua Hu , Wee Peng Tay , Athul Harilal , Gaoxi Xiao
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