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Two-sample feature selection is the problem of finding features that describe a difference between two probability distributions, which is a ubiquitous problem in both scientific and engineering studies. However, existing methods have…

Testing for pairwise independence for the case where the number of variables may be of the same size or even larger than the sample size has received increasing attention in the recent years. We contribute to this branch of the literature…

Statistics Theory · Mathematics 2024-09-18 Axel Bücher , Cambyse Pakzad

The K-sample testing problem involves determining whether K groups of data points are each drawn from the same distribution. Analysis of variance is arguably the most classical method to test mean differences, along with several recent…

Machine Learning · Statistics 2024-10-04 Sambit Panda , Cencheng Shen , Ronan Perry , Jelle Zorn , Antoine Lutz , Carey E. Priebe , Joshua T. Vogelstein

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

This study outlines a comprehensive methodology utilizing copulas to discern inconsistencies in the behavior exhibited by pairs of financial assets. It introduces a robust approach to establishing the interrelationship between the returns…

Computational Finance · Quantitative Finance 2023-12-05 Alexander Shulzhenko

A fundamental problem in statistics is to compare the outcomes attained by members of subpopulations. This problem arises in the analysis of randomized controlled trials, in the analysis of A/B tests, and in the assessment of fairness and…

Methodology · Statistics 2021-12-02 Mark Tygert

Tests of the neutral evolution hypothesis are usually built on the standard null model which assumes that mutations are neutral and population size remains constant over time. However, it is unclear how such tests are affected if the last…

Populations and Evolution · Quantitative Biology 2013-07-02 Marina Rafajlović , Alexander Klassmann , Anders Eriksson , Thomas Wiehe , Bernhard Mehlig

Standard high-dimensional factor models assume that the comovements in a large set of variables could be modeled using a small number of latent factors that affect all variables. In many relevant applications in economics and finance,…

Econometrics · Economics 2022-02-08 Antoine Djogbenou , Razvan Sufana

In observational studies of discrimination, the most common statistical approaches consider either the rate at which decisions are made (benchmark tests) or the success rate of those decisions (outcome tests). Both tests, however, have…

Applications · Statistics 2025-03-07 Johann D. Gaebler , Sharad Goel

Smoothed analysis is a framework for analyzing the complexity of an algorithm, acting as a bridge between average and worst-case behaviour. For example, Quicksort and the Simplex algorithm are widely used in practical applications, despite…

Machine Learning · Computer Science 2015-03-29 Bichen Shi , Michel Schellekens , Georgiana Ifrim

We consider the problem of two-sample testing in a semi-supervised setting with abundant unlabeled covariate data. Standard two-sample tests neglect covariate information, which has the potential to significantly boost performance. However,…

Machine Learning · Statistics 2026-05-05 Gyumin Lee , Shubhanshu Shekhar , Ilmun Kim

A broad class of smooth, possibly data-adaptive nonparametric copula estimators that contains empirical Bernstein copulas introduced by Sancetta and Satchell (and thus the empirical beta copula proposed by Segers, Sibuya and Tsukahara) is…

Statistics Theory · Mathematics 2022-12-20 Ivan Kojadinovic , Bingqing Yi

Our purpose is to model the dependence between two random variables, taking into account a priori knowledge on these variables. For example, in many applications (oceanography, finance...), there exists an order relation between the two…

Methodology · Statistics 2010-04-22 Dominique Drouet Mari , Valerie Monbet

We construct a procedure to test the stochastic order of two samples of interval-valued data. We propose a test statistic which belongs to U-statistic and derive its asymptotic distribution under the null hypothesis. We compare the…

Methodology · Statistics 2019-12-05 Hyejeong Choi , Johan Lim , Minjung Kwak , Seongoh Park

We consider the classical problem of estimating the mixing distribution of binomial mixtures, but under trial heterogeneity and smoothness. This problem has been studied extensively when the trial parameter is homogeneous, but not under the…

Statistics Theory · Mathematics 2025-08-01 JungHo Lee , Valerio Baćak , Edward H. Kennedy

The paper presents a new copula based method for measuring dependence between random variables. Our approach extends the Maximum Mean Discrepancy to the copula of the joint distribution. We prove that this approach has several advantageous…

Machine Learning · Computer Science 2019-08-15 Barnabas Poczos , Zoubin Ghahramani , Jeff Schneider

We conduct a KL-divergence based procedure for testing elliptical distributions. The procedure simultaneously takes into account the two defining properties of an elliptically distributed random vector: independence between length and…

Methodology · Statistics 2025-11-04 Yin Tang , Yanyuan Ma , Bing Li

One of the classic concerns in statistics is determining if two samples come from thesame population, i.e. homogeneity testing. In this paper, we propose a homogeneitytest in the context of Functional Data Analysis, adopting an idea from…

Applications · Statistics 2021-10-22 Alejandro Calle-Saldarriaga , Henry Laniado , Francisco Zuluaga

Comparing large covariance matrices has important applications in modern genomics, where scientists are often interested in understanding whether relationships (e.g., dependencies or co-regulations) among a large number of genes vary…

Methodology · Statistics 2017-04-04 Jinyuan Chang , Wen Zhou , Wen-Xin Zhou , Lan Wang

The Cauchy combination test (CCT) is a $p$-value combination method used in multiple-hypothesis testing and is robust under dependence structures. This study aims to evaluate the CCT for independent and correlated count data where the…

Methodology · Statistics 2025-04-22 Huda Alsulami , Silvia Liverani
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