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The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components of the random sets, namely on the curvature of their…

Testing for change points in sequences of covariance matrices is an important and equally challenging problem in statistical methodology with applications in various fields. Motivated by the observation that even in cases where the ratio…

Statistics Theory · Mathematics 2026-01-14 Nina Dörnemann , Holger Dette

Mediation analysis aims to assess if, and how, a certain exposure influences an outcome of interest through intermediate variables. This problem has recently gained a surge of attention due to the tremendous need for such analyses in…

Methodology · Statistics 2023-10-19 He Yinqiu , Song Peter X. -K. , Xu Gongjun

We compare two multi-state modelling frameworks that can be used to represent dates of events following hospital admission for people infected during an epidemic. The methods are applied to data from people admitted to hospital with…

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

In this paper we study the asymptotic properties of Bayesian multiple testing procedures for a large class of Gaussian scale mixture pri- ors. We study two types of multiple testing risks: a Bayesian risk proposed in Bogdan et al. (2011)…

Statistics Theory · Mathematics 2017-11-27 Jean-Bernard Salomond

This article analyzes the problem of estimating the time until an event occurs, also known as survival modeling. We observe through substantial experiments on large real-world datasets and use-cases that populations are largely…

Machine Learning · Computer Science 2019-05-13 David Hubbard , Benoit Rostykus , Yves Raimond , Tony Jebara

High dimensional hypothesis test deals with models in which the number of parameters is significantly larger than the sample size. Existing literature develops a variety of individual tests. Some of them are sensitive to the dense and small…

Statistics Theory · Mathematics 2018-08-09 Cheng Zhou , Xinsheng Zhang , Wenxin Zhou , Han Liu

We propose a new statistical hypothesis testing framework which decides visually, using confidence intervals, whether the means of two samples are equal or if one is larger than the other. With our method, the user can at the same time…

Statistics Theory · Mathematics 2025-03-06 Timothée Mathieu

We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

Statistics Theory · Mathematics 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

Longitudinal and time-to-event data are often analyzed in biomarker research to study the association between the longitudinal biomarker measurements and the event-time outcome, in which the longitudinal information contributes to the…

Methodology · Statistics 2025-09-09 Minzee Kim , Joel A. Dubin

This paper analyses the use of bootstrap methods to test for parameter change in linear models estimated via Two Stage Least Squares (2SLS). Two types of test are considered: one where the null hypothesis is of no change and the alternative…

Econometrics · Economics 2020-02-03 Otilia Boldea , Adriana Cornea-Madeira , Alastair R. Hall

We consider the hypothesis testing problem of detecting a shift between the means of two multivariate normal distributions in the high-dimensional setting, allowing for the data dimension p to exceed the sample size n. Specifically, we…

Statistics Theory · Mathematics 2015-09-15 Miles E. Lopes , Laurent J. Jacob , Martin J. Wainwright

When faced with severely imbalanced binary classification problems, we often train models on bootstrapped data in which the number of instances of each class occur in a more favorable ratio, e.g., one. We view algorithmic inequity through…

Machine Learning · Statistics 2021-08-17 Harish S. Bhat , Majerle E. Reeves , Sidra Goldman-Mellor

In recent years there have been a lot of interest to test for similarity between biological drug products, commonly known as biologics. Biologics are large and complex molecule drugs that are produced by living cells and hence these are…

Methodology · Statistics 2019-02-21 Lin Dong , Sujit K. Ghosh

A platform trial with a master protocol provides an infrastructure to ethically and efficiently evaluate multiple treatment options in multiple diseases. Given that certain study drugs can enter or exit a platform trial, the randomization…

Methodology · Statistics 2025-07-15 Tianyu Zhan , Jane Zhang , Lei Shu , Yihua Gu

Epidemic outbreaks can cause critical health concerns and severe global economic crises. For countries or regions with new infectious disease outbreaks, it is essential to generate preventive strategies by learning lessons from others with…

Machine Learning · Computer Science 2024-04-17 X. Xiao , P. Chen , X. Cao , K. Liu , L. Deng , D. Zhao , Z. Chen , Q. Deng , F. Yu , H. Zhang

Dose-finding trials are a key component of the drug development process and rely on a statistical design to help inform dosing decisions. Triallists wishing to choose a design require knowledge of operating characteristics of competing…

Computation · Statistics 2025-03-11 Michael Sweeting , Daniel Slade , Dan Jackson , Kristian Brock

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

Applications · Statistics 2018-07-04 Nandini Kannan , Debasis Kundu

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