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We build a valid p-value based on a concentration inequality for bounded random variables introduced by Pelekis, Ramon and Wang. The motivation behind this work is the calibration of predictive algorithms in a distribution-free setting. The…

Machine Learning · Statistics 2024-05-16 Joaquin Alvarez

Valid online inference is an important problem in contemporary multiple testing research,to which various solutions have been proposed recently. It is well-known that these existing methods can suffer from a significant loss of power if the…

Methodology · Statistics 2023-01-16 Sebastian Döhler , Iqraa Meah , Etienne Roquain

In this paper, we study the task of detecting the edge dependency between two weighted random graphs. We formulate this task as a simple hypothesis testing problem, where under the null hypothesis, the two observed graphs are statistically…

Machine Learning · Computer Science 2024-09-25 Mor Oren , Vered Paslev , Wasim Huleihel

In this paper, after a discussion of general properties of statistical tests, we present the construction of the most powerful hypothesis test for determining the existence of a new phenomenon in counting-type experiments where the observed…

Data Analysis, Statistics and Probability · Physics 2007-05-23 L. Fleysher , R. Fleysher , T. J. Haines , A. I. Mincer , P. Nemethy

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…

Methodology · Statistics 2021-02-01 Mingao Yuan , Qian Wen

We consider the problem of testing a null hypothesis defined by equality and inequality constraints on a statistical parameter. Testing such hypotheses can be challenging because the number of relevant constraints may be on the same order…

Methodology · Statistics 2024-02-19 Nils Sturma , Mathias Drton , Dennis Leung

We develop the distribution of the number of hypotheses found to be statistically significant using the rule from Benjamini and Hochberg (1995) for controlling the false discovery rate (FDR). This distribution has both a small sample form…

Methodology · Statistics 2018-02-27 Chang Yu , Daniel Zelterman

The partial conjunction null hypothesis is tested in order to discover a signal that is present in multiple studies. The standard approach of carrying out a multiple test procedure on the partial conjunction (PC) $p$-values can be extremely…

Methodology · Statistics 2024-06-14 Thorsten Dickhaus , Ruth Heller , Anh-Tuan Hoang , Yosef Rinott

The network data has attracted considerable attention in modern statistics. In research on complex network data, one key issue is finding its underlying connection structure given a network sample. The methods that have been proposed in…

Methodology · Statistics 2024-08-09 Kang Fu , Jianwei Hu , Seydou Keita

In this work, we address the question of how to enhance signal-agnostic searches by leveraging multiple testing strategies. Specifically, we consider hypothesis tests relying on machine learning, where model selection can introduce a bias…

High Energy Physics - Phenomenology · Physics 2024-08-23 Gaia Grosso , Marco Letizia

In this paper, we address conditional testing problems through the conformal inference framework. We define the localized conformal p-values by inverting prediction intervals and prove their theoretical properties. These defined p-values…

Methodology · Statistics 2024-09-26 Xiaoyang Wu , Lin Lu , Zhaojun Wang , Changliang Zou

It has become an increasingly common practice for scientists in modern science and engineering to collect samples of multiple network data in which a network serves as a basic data object. The increasing prevalence of multiple network data…

Methodology · Statistics 2021-09-09 Li Chen , Jie Zhou , Lizhen Lin

Many high-dimensional hypothesis tests aim to globally examine marginal or low-dimensional features of a high-dimensional joint distribution, such as testing of mean vectors, covariance matrices and regression coefficients. This paper…

Statistics Theory · Mathematics 2020-02-04 Yinqiu He , Gongjun Xu , Chong Wu , Wei Pan

We investigate the problem of testing the global null in the high-dimensional regression models when the feature dimension $p$ grows proportionally to the number of observations $n$. Despite a number of prior work studying this problem,…

Methodology · Statistics 2020-10-06 Yue Li , Ilmun Kim , Yuting Wei

In this work, we introduce statistical testing under distributional shifts. We are interested in the hypothesis $P^* \in H_0$ for a target distribution $P^*$, but observe data from a different distribution $Q^*$. We assume that $P^*$ is…

Methodology · Statistics 2022-05-03 Nikolaj Thams , Sorawit Saengkyongam , Niklas Pfister , Jonas Peters

Clinical research should conform to high standards of ethical and scientific integrity, given that human lives are at stake. However, economic incentives can generate conflicts of interest for investigators, who may be inclined to withhold…

General Economics · Economics 2022-10-12 Jérôme Adda , Christian Decker , Marco Ottaviani

Hypothesis tests are a crucial statistical tool for data mining and are the workhorse of scientific research in many fields. Here we study differentially private tests of independence between a categorical and a continuous variable. We take…

Methodology · Statistics 2019-03-25 Simon Couch , Zeki Kazan , Kaiyan Shi , Andrew Bray , Adam Groce

We study a variant of the simple hypothesis testing problem where observed samples do not necessarily come from either of the specified distributions, but rather from a close variant of them. In this setting, we require a test that is…

Statistics Theory · Mathematics 2026-04-21 Eeshan Modak , Sivaraman Balakrishnan , Ananda Theertha Suresh

Using the likelihood ratio test statistic, we present a method which can be employed to test the hypothesis of a single Higgs boson using the matrix of measured signal strengths. This method can be applied in the presence of incomplete data…

High Energy Physics - Phenomenology · Physics 2015-02-05 André David , Jaana Heikkilä , Giovanni Petrucciani

We consider the problem of distributed binary hypothesis testing of two sequences that are generated by an i.i.d. doubly-binary symmetric source. Each sequence is observed by a different terminal. The two hypotheses correspond to different…

Information Theory · Computer Science 2018-01-03 Eli Haim , Yuval Kochman