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Bipartite incidence graph sampling provides a unified representation of many sampling situations for the purpose of estimation, including the existing unconventional sampling methods, such as indirect, network or adaptive cluster sampling,…

Statistics Theory · Mathematics 2020-04-10 Martina Patone , Li-Chun Zhang

This paper develops and implements a nonparametric test of Random Utility Models. The motivating application is to test the null hypothesis that a sample of cross-sectional demand distributions was generated by a population of rational…

Statistics Theory · Mathematics 2018-12-06 Yuichi Kitamura , Jörg Stoye

The problem of testing for the parametric form of the conditional variance is considered in a fully nonparametric regression model. A test statistic based on a weighted $L_2$-distance between the empirical characteristic functions of…

Methodology · Statistics 2018-07-24 Juan Carlos Pardo-Fernandez , M. Dolores Jimenez-Gamero

In paired design studies, it is common to have multiple measurements taken for the same set of subjects under different conditions. In observational studies, it is many times of interest to conduct pair matching on multiple covariates…

Methodology · Statistics 2021-09-21 Jingru Zhang , Hao Chen , Xiao-Hua Zhou

Two-sample hypothesis testing-determining whether two sets of data are drawn from the same distribution-is a fundamental problem in statistics and machine learning with broad scientific applications. In the context of nonparametric testing,…

Machine Learning · Statistics 2026-04-21 Antoine Chatalic , Marco Letizia , Nicolas Schreuder , Lorenzo Rosasco

In model checking for regressions, nonparametric estimation-based tests usually have tractable limiting null distributions and are sensitive to oscillating alternative models, but suffer from the curse of dimensionality. In contrast,…

Methodology · Statistics 2019-03-12 Lingzhu Li , Xuehu Zhu , Lixing Zhu

Nonparametric two sample or homogeneity testing is a decision theoretic problem that involves identifying differences between two random variables without making parametric assumptions about their underlying distributions. The literature is…

Statistics Theory · Mathematics 2015-10-14 Aaditya Ramdas , Nicolas Garcia , Marco Cuturi

We propose two model-free, permutation-based tests of independence between a pair of random variables. The tests can be applied to samples from any bivariate distribution: continuous, discrete or mixture of those, with light tails or heavy…

Methodology · Statistics 2022-05-16 Jiří Dvořák , Tomáš Mrkvička

This paper deals with two-sample tests for functional time series data, which have become widely available in conjunction with the advent of modern complex observation systems. Here, particular interest is in evaluating whether two sets of…

Statistics Theory · Mathematics 2019-09-16 Alexander Aue , Holger Dette , Gregory Rice

Considered here is a hypothesis test for the coefficients in the change-plane regression models to detect the existence of a change plane. The test that is considered is from the class of test problems in which some parameters are not…

Statistics Theory · Mathematics 2024-08-02 Xu Liu , Jian Huang , Yong Zhou , Feipeng Zhang , Panpan Ren

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

In this paper we consider testing the equality of probability vectors of two independent multinomial distributions in high dimension. The classical chi-square test may have some drawbacks in this case since many of cell counts may be zero…

Statistics Theory · Mathematics 2017-11-16 Amanda Plunkett , Junyong Park

In clinical settings, we often face the challenge of building prediction models based on small observational data sets. For example, such a data set might be from a medical center in a multi-center study. Differences between centers might…

Statistical modeling plays a fundamental role in understanding the underlying mechanism of massive data (statistical inference) and predicting the future (statistical prediction). Although all models are wrong, researchers try their best to…

Methodology · Statistics 2020-06-17 Hangjin Jiang

Existing two-sample testing techniques, particularly those based on choosing a kernel for the Maximum Mean Discrepancy (MMD), often assume equal sample sizes from the two distributions. Applying these methods in practice can require…

Machine Learning · Statistics 2025-12-17 Aaron Wei , Milad Jalali , Danica J. Sutherland

Distribution testing can be described as follows: $q$ samples are being drawn from some unknown distribution $P$ over a known domain $[n]$. After the sampling process, a decision must be made about whether $P$ holds some property, or is far…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-04 Uri Meir

In this article, we propose a one-sample test to check whether the support of the unknown distribution generating the data is homologically equivalent to the support of some specified distribution or not OR using the corresponding…

Methodology · Statistics 2023-12-01 Satish Kumar , Subhra Sankar Dhar

In the classical two-sample problem, the conventional approach for testing distributions equality is based on the difference between the two marginal empirical distribution functions, whereas a test for independence is based on the contrast…

Statistics Theory · Mathematics 2018-06-14 Laura Dumitrescu , Estate V. Khmaladze

We develop new econometric methods for the comparison of nonparametric time trends. In many applications, practitioners are interested in whether the observed time series all have the same time trend. Moreover, they would often like to know…

Econometrics · Economics 2022-09-23 Marina Khismatullina , Michael Vogt

The surge in digitized text data requires reliable inferential methods on observed textual patterns. This article proposes a novel two-sample text test for comparing similarity between two groups of documents. The hypothesis is whether the…

Machine Learning · Statistics 2025-05-09 Jingbin Xu , Chen Qian , Meimei Liu , Feng Guo