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This paper addresses the multiple two-sample test problem in a graph-structured setting, which is a common scenario in fields such as Spatial Statistics and Neuroscience. Each node $v$ in fixed graph deals with a two-sample testing problem…

机器学习 · 统计学 2024-02-09 Alejandro de la Concha , Nicolas Vayatis , Argyris Kalogeratos

Network data is a major object data type that has been widely collected or derived from common sources such as brain imaging. Such data contains numeric, topological, and geometrical information, and may be necessarily considered in certain…

统计方法学 · 统计学 2021-06-29 Han Feng , Xing Qiu , Hongyu Miao

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

统计理论 · 数学 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

统计方法学 · 统计学 2025-06-23 Yichuan Bai , Lynna Chu

This paper reconsiders the problem of testing the equality of two unspecified continuous distributions. The framework, which we propose, allows for readable and insightful data visualisation and helps to understand and quantify how two…

统计方法学 · 统计学 2025-03-04 Bogdan Ćmiel , Teresa Ledwina

Data with multiple functional recordings at each observational unit are increasingly common in various fields including medical imaging and environmental sciences. To conduct inference for such observations, we develop a paired two-sample…

统计方法学 · 统计学 2025-06-16 Colin Decker , Dehan Kong , Stanislav Volgushev

The two-sample test is a fundamental problem in statistics with a wide range of applications. In the realm of high-dimensional data, nonparametric methods have gained prominence due to their flexibility and minimal distributional…

统计方法学 · 统计学 2024-12-24 Zexi Cai , Wenbo Fei , Doudou Zhou

Two-sample testing is a fundamental problem in statistics, and many famous two-sample tests are designed to be fully non-parametric. These existing methods perform well with location and scale shifts but are less robust when faced with more…

统计方法学 · 统计学 2021-10-12 Benjamin Brown , Kai Zhang

This paper considers the problem of comparing two processes with panel data. A nonparametric test is proposed for detecting a monotone change in the link between the two process distributions. The test statistic is of CUSUM type, based on…

统计理论 · 数学 2011-05-04 Denys Pommeret , Mohamed Boutahar , Badih Ghattas

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,…

机器学习 · 统计学 2026-05-05 Gyumin Lee , Shubhanshu Shekhar , Ilmun Kim

Suppose that we are interested in the comparison of two independent categorical variables. Suppose also that the population is divided into subpopulations or groups. Notice that the distribution of the target variable may vary across…

统计方法学 · 统计学 2024-05-08 M. V. Alba-Fernández , M. D. Jiménez--Gamero , F. J. Ariza-López

We introduce fully nonparametric two-sample tests for testing the null hypothesis that the samples come from the same distribution if the values are only indirectly given via current status censoring. The tests are based on the likelihood…

统计理论 · 数学 2013-07-12 Piet Groeneboom

Deep neural two-sample tests have recently shown strong power for detecting distributional differences between groups, yet their black-box nature limits interpretability and practical adoption in biomedical analysis. Moreover, most existing…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Masoumeh Javanbakhat , Piotr Komorowski , Dilyara Bareeva , Wei-Chang Lai , Wojciech Samek , Christoph Lippert

Classical two-sample permutation tests for equality of distributions have exact size in finite samples, but they fail to control size for testing equality of parameters that summarize each distribution. This paper proposes permutation tests…

计量经济学 · 经济学 2022-04-22 Marinho Bertanha , EunYi Chung

We study the problem of designing consistent sequential two-sample tests in a nonparametric setting. Guided by the principle of testing by betting, we reframe this task into that of selecting a sequence of payoff functions that maximize the…

统计理论 · 数学 2025-08-26 Shubhanshu Shekhar , Aaditya Ramdas

Continuous collection of physiological data from wearable sensors enables temporal characterization of individual behaviors. Understanding the relation between an individual's behavioral patterns and psychological states can help identify…

Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in the framework of classification. Based on the estimates of…

统计理论 · 数学 2019-09-18 Haiyan Cai , Bryan Goggin , Qingtang Jiang

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

Network (graph) data analysis is a popular research topic in statistics and machine learning. In application, one is frequently confronted with graph two-sample hypothesis testing where the goal is to test the difference between two graph…

统计方法学 · 统计学 2021-02-01 Mingao Yuan , Qian Wen

Two-sample tests utilizing a similarity graph on observations are useful for high-dimensional and non-Euclidean data due to their flexibility and good performance under a wide range of alternatives. Existing works mainly focused on sparse…

统计理论 · 数学 2023-11-14 Yejiong Zhu , Hao Chen