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Bayesian hypothesis testing is investigated when the prior probabilities of the hypotheses, taken as a random vector, are quantized. Nearest neighbor and centroid conditions are derived using mean Bayes risk error as a distortion measure…

Information Theory · Computer Science 2008-09-20 Kush R. Varshney , Lav R. Varshney

In prior work we have introduced an asymptotic threshold of sufficient randomness for causal inference from observational data. In this paper we extend that prior work in three main ways. First, we show how to empirically estimate a lower…

Methodology · Statistics 2023-09-07 Brian Knaeble , Braxton Osting , Placede Tshiaba

The first part of the paper presents a review of the gold-standard testing protocol for Covid-19, real-time, reverse transcriptase PCR, and its properties and associated measurement data such as amplification curves that can guide the…

Quantitative Methods · Quantitative Biology 2021-06-08 Ryan Gabrys , Srilakshmi Pattabiraman , Vishal Rana , João Ribeiro , Mahdi Cheraghchi , Venkatesan Guruswami , Olgica Milenkovic

The persistent issue of wrongful convictions in the United States emphasizes the need for scrutiny and improvement of the criminal justice system. While statistical methods for the evaluation of forensic evidence, including glass,…

Applications · Statistics 2024-03-25 Xiangyu Xu , Giuseppe Vinci

Background. Long COVID symptoms (which include brain fog, depression, and fatigue) are mild at best and debilitating at worst. Some U.S. health surveys have found that women, lower income individuals, and those with less education are…

General Economics · Economics 2026-03-05 Jennifer Cohen , Yana Rodgers

With the increasing spread of COVID-19, it is important to systematically test more and more people. The current strategy for test-kit allocation is mostly rule-based, focusing on individuals having (a) symptoms for COVID-19, (b) travel…

Artificial Intelligence · Computer Science 2020-04-07 Arpita Biswas , Shruthi Bannur , Prateek Jain , Srujana Merugu

In early clinical test evaluations the potential benefits of the introduction of a new technology into the healthcare system are assessed in the challenging situation of limited available empirical data. The aim of these evaluations is to…

Applications · Statistics 2020-05-21 Sara Graziadio , Kevin J. Wilson

Compartmental models are widely adopted to describe and predict the spreading of infectious diseases. The unknown parameters of such models need to be estimated from the data. Furthermore, when some of the model variables are not…

Physics and Society · Physics 2021-01-18 Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

In the group testing problem we aim to identify a small number of infected individuals within a large population. We avail ourselves to a procedure that can test a group of multiple individuals, with the test result coming out positive iff…

Discrete Mathematics · Computer Science 2021-05-14 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Philipp Loick

We propose a Bayesian Heterogeneity Learning approach for Susceptible-Infected-Removal-Susceptible (SIRS) model that allows underlying clustering patterns for transmission rate, recovery rate, and loss of immunity rate for the latest…

Applications · Statistics 2020-07-17 Guanyu Hu , Junxian Geng

Bradley et al. (arXiv:2106.05818v2), as part of an analysis of the performance of large-but-biased surveys during the COVID-19 pandemic, argue that the data defect correlation provides a useful tool to quantify the effects of sampling bias…

Applications · Statistics 2021-09-03 Alex Reinhart , Ryan Tibshirani

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…

Applications · Statistics 2020-12-24 José Luis Sainz-Pardo , José Valero

Comparing how different populations have suffered under COVID-19 is a core part of ongoing investigations into how public policy and social inequalities influence the number of and severity of COVID-19 cases. But COVID-19 incidence can vary…

Populations and Evolution · Quantitative Biology 2022-11-17 Ryan Wilkinson , Marcus Roper

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

Most NLP datasets are not annotated with protected attributes such as gender, making it difficult to measure classification bias using standard measures of fairness (e.g., equal opportunity). However, manually annotating a large dataset…

Computation and Language · Computer Science 2020-04-28 Kawin Ethayarajh

Statistical methods are developed for analysis of clinical and virus genetics data from phase 3 randomized, placebo-controlled trials of vaccines against novel coronavirus COVID-19. Vaccine efficacy (VE) of a vaccine to prevent COVID-19…

Methodology · Statistics 2022-01-25 Fei Heng , Yanqing Sun , Peter B. Gilbert

The assessment of in-service safety performance is an important task, not only in railways. For example it is important to identify deviations early, in particular possible deterioration of safety performance, so that corrective actions can…

Applications · Statistics 2020-09-02 Hendrik Schäbe , Jens Braband

We study the problem usually referred to as group testing in the context of COVID-19. Given $n$ samples taken from patients, how should we select mixtures of samples to be tested, so as to maximize information and minimize the number of…

Methodology · Statistics 2020-05-14 Louis Abraham , Gary Bécigneul , Bernhard Schölkopf

This paper proposes a new RWO-Sampling (Random Walk Over-Sampling) based on graphs for imbalanced datasets. In this method, two schemes based on under-sampling and over-sampling methods are introduced to keep the proximity information…

Machine Learning · Computer Science 2021-12-06 Saeideh Roshanfekr , Shahriar Esmaeili , Hassan Ataeian , Ali Amiri

In this paper, we consider testing the homogeneity of risk differences in independent binomial distributions especially when data are sparse. We point out some drawback of existing tests in either controlling a nominal size or obtaining…

Methodology · Statistics 2018-05-31 Junyong Park , Iris Ivy Gauran