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The ability to calculate precise likelihood ratios is fundamental to many STEM areas, such as decision-making theory, biomedical science, and engineering. However, there is no assumption-free statistical methodology to achieve this. For…

Statistics Theory · Mathematics 2018-06-19 Rachael L. Bond , Yang-Hui He , Thomas C. Ormerod

Approximate Bayesian Computation (ABC for short) is a family of computational techniques which offer an almost automated solution in situations where evaluation of the posterior likelihood is computationally prohibitive, or whenever…

Statistics Theory · Mathematics 2013-06-04 Gérard Biau , Frédéric Cérou , Arnaud Guyader

Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

Statistics Theory · Mathematics 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli

The Covid-19 pandemic revealed the difficulties of vaccinating a population under the circumstances marked by urgency and limited availability of doses while balancing benefits associated with distinct guidelines satisfying specific ethical…

Quantitative Methods · Quantitative Biology 2023-06-08 Pedro Ribeiro de Almeida , Vitor Hirata Sanches , Carla Goldman

This paper proposes a novel and statistical method of ability estimation based on acquisition distribution for a personalized computer aided question generation. This method captures the learning outcomes over time and provides a flexible…

Human-Computer Interaction · Computer Science 2018-08-30 Yi-Ting Huang , Meng Chang Chen , Yeali S. Sun

The effectiveness of vaccination highly depends on the choice of individuals to vaccinate, even if the same number of individuals are vaccinated. Vaccinating individuals with high centrality measures such as betweenness centrality (BC) and…

Physics and Society · Physics 2021-12-30 Bukyoung Jhun

Censored data, where the event time is partially observed, are challenging for survival probability estimation. In this paper, we introduce a novel nonparametric fiducial approach to interval-censored data, including right-censored, current…

Methodology · Statistics 2021-11-30 Yifan Cui , Jan Hannig , Michael Kosorok

Variational Bayes (VB) has shown itself to be a powerful approximation method in many application areas. This paper describes some diagnostics methods which can assess how well the VB approximates the true posterior, particularly with…

Computation · Statistics 2013-09-23 Hui Zhao , Paul Marriott

A Bayesian approach is used to estimate the covariance matrix of Gaussian data. Ideas from Gaussian graphical models and model selection are used to construct a prior for the covariance matrix that is a mixture over all decomposable graphs.…

Methodology · Statistics 2007-06-12 Helen Armstrong , Christopher K. Carter , Kevin F. Wong , Robert Kohn

A year following the initial COVID-19 outbreak in China, many countries have approved emergency vaccines. Public-health practitioners and policymakers must understand the predicted populational willingness for vaccines and implement…

Applications · Statistics 2021-12-10 Xingzuo Zhou , Yiang Li

Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to data imputation methods such as Markov Chain Monte Carlo integration, is proposed…

Applications · Statistics 2010-08-31 Michael G. B. Blum , Viet Chi Tran

Assessing uncertainty is an important step towards ensuring the safety and reliability of machine learning systems. Existing uncertainty estimation techniques may fail when their modeling assumptions are not met, e.g. when the data…

Machine Learning · Computer Science 2017-01-24 Volodymyr Kuleshov , Stefano Ermon

The envelope theory, also known as the auxiliary field method, is a simple technique to compute approximate solutions of Hamiltonians for $N$ identical particles in $D$ dimensions. The quality of the approximate eigenvalues can be improved…

Quantum Physics · Physics 2015-07-28 Claude Semay

We review research papers which use game theory to model the decision making of individuals during an epidemic, attempting to classify the literature and identify the emerging trends in this field. We show that the literature can be…

Populations and Evolution · Quantitative Biology 2020-02-13 Sheryl L. Chang , Mahendra Piraveenan , Philippa Pattison , Mikhail Prokopenko

Consider the causal effect that one individual's treatment may have on another individual's outcome when the outcome is contagious, with specific application to the effect of vaccination on an infectious disease outcome. The effect of one…

Methodology · Statistics 2014-03-06 Elizabeth L. Ogburn , Tyler J. VanderWeele

One of the most important tools available to limit the spread and impact of infectious diseases is vaccination. It is therefore important to understand what factors determine people's vaccination decisions. To this end, previous behavioural…

Linear combinations of multinomial probabilities, such as those resulting from contingency tables, are of use when evaluating classification system performance. While large sample inference methods for these combinations exist, small sample…

Methodology · Statistics 2021-04-20 Katherine A. Batterton , Christine M. Schubert , Richard L. Warr

Approximate but reliable solutions of a quantum system with $N$ identical particles can be easily computed with the envelope theory, also known as the auxiliary field method. This technique has been developed for Hamiltonians with arbitrary…

Quantum Physics · Physics 2017-07-20 C. Semay , F. Buisseret

This study explores the vaccine prioritization strategy to reduce the overall burden of the pandemic when the supply is limited. Existing methods conduct macro-level or simplified micro-level vaccine distribution by assuming the homogeneous…

Populations and Evolution · Quantitative Biology 2023-05-10 Lu Ling , Washim Uddin Mondal , Satish V , Ukkusuri

Using the theory of representations of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group. Our approach have the goal to reduce the amount of linear algebra computations and exploit a thinner…

Combinatorics · Mathematics 2015-11-04 Nicolas Borie