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This study utilizes mathematical models to assess progress toward achieving the UNAIDS 90-90-90 and 95-95-95 targets aimed at managing and eradicating HIV/AIDS. It contrasts stochastic and deterministic models, focusing on their utility in…

Other Quantitative Biology · Quantitative Biology 2025-03-12 Nuzhat Nuari Khan Rivu , Md Kamrujjaman , Asif Iqbal

Assessment of circulating CD4 count change over time in HIV-infected subjects on antiretroviral therapy (ART) is a central component of disease monitoring. The increasing number of HIV-infected subjects starting therapy and the limited…

Estimation of individual treatment effect in observational data is complicated due to the challenges of confounding and selection bias. A useful inferential framework to address this is the counterfactual (potential outcomes) model which…

Machine Learning · Statistics 2017-01-23 Min Lu , Saad Sadiq , Daniel J. Feaster , Hemant Ishwaran

Large-scale randomized experiments, sometimes called A/B tests, are increasingly prevalent in many industries. Though such experiments are often analyzed via frequentist $t$-tests, arguably such analyses are deficient: $p$-values are hard…

Methodology · Statistics 2020-03-27 F. Richard Guo , James McQueen , Thomas S. Richardson

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

We develop a novel method for counterfactual analysis based on observational data using prediction intervals for units under different exposures. Unlike methods that target heterogeneous or conditional average treatment effects of an…

Statistics Theory · Mathematics 2018-07-18 Dave Zachariah , Petre Stoica

In an observational study, it is common to leverage known null effect to detect bias. One such strategy is to set aside a placebo sample -- a subset of data immune from the hypothesized cause-and-effect relationship. Existence of an effect…

Methodology · Statistics 2022-07-05 Ting Ye , Shuxiao Chen , Bo Zhang

Studies intended to estimate the effect of a treatment, like randomized trials, may not be sampled from the desired target population. To correct for this discrepancy, estimates can be transported to the target population. Methods for…

Typically, electronic health record data are not collected towards a specific research question. Instead, they comprise numerous observations recruited at different ages, whose medical, environmental and oftentimes also genetic data are…

Methodology · Statistics 2024-11-19 Nir Keret , Malka Gorfine

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

Accurately predicting conversion rate (CVR) is essential in various recommendation domains such as online advertising systems and e-commerce. These systems utilize user interaction logs, which consist of exposures, clicks, and conversions.…

Machine Learning · Computer Science 2025-10-07 Junhyung Ahn , Sanghack Lee

Researchers in many scientific fields make inferences from individuals to larger groups. For many groups however, there is no list of members from which to take a random sample. Respondent-driven sampling (RDS) is a relatively new sampling…

Applications · Statistics 2012-01-10 Xin Lu , Linus Bengtsson , Tom Britton , Martin Camitz , Beom Jun Kim , Anna Thorson , Fredrik Liljeros

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

Accurate estimation of disease prevalence is essential for guiding public health strategies. Imperfect diagnostic tests can cause misclassification errors-false positives (FP) and false negatives (FN)-that may skew estimates if unaddressed.…

Governments and public health authorities use seroprevalence studies to guide responses to the COVID-19 pandemic. Seroprevalence surveys estimate the proportion of individuals who have detectable SARS-CoV-2 antibodies. However, serologic…

Applications · Statistics 2022-11-11 Samuel P. Rosin , Bonnie E. Shook-Sa , Stephen R. Cole , Michael G. Hudgens

HIV-1 affects tens of millions of people worldwide. Current treatments often involve a cocktail of antiretroviral drugs, which are effective in reducing the virus and extending life spans. However, there is currently no FDA-approved HIV-1…

Populations and Evolution · Quantitative Biology 2020-05-26 Tin Phan , Catherine DeMarino , Fatah Kashanchi , Yang Kuang , Daniel M. Anderson , Maria Emelianenko

Consider a finite sample from an unknown distribution over a countable alphabet. Unobserved events are alphabet symbols which do not appear in the sample. Estimating the probabilities of unobserved events is a basic problem in statistics…

Statistics Theory · Mathematics 2022-11-08 Amichai Painsky

Statistical inference with non-probability survey samples is an emerging topic in survey sampling and official statistics and has gained increased attention from researchers and practitioners in the field. Much of the existing literature,…

Methodology · Statistics 2024-10-07 Yang Liu , Meng Yuan , Pengfei Li , Changbao Wu

We present several related methods for creating confidence intervals to assess disease prevalence in variety of survey sampling settings. These include simple random samples with imperfect tests, weighted sampling with perfect tests, and…

Methodology · Statistics 2023-03-14 Damon Bayer , Michael Fay , Barry Graubard

HIV increases the likelihood that a person will develop TB. Starting them on anti-retroviral therapy (ART) reduces their risk of TB but not to the level in HIV negative people. Since HIV-positive people who are on ART can expect to live a…

Quantitative Methods · Quantitative Biology 2013-02-05 Brian Gerard Williams