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We study a large-scale one-sided multiple testing problem in which test statistics follow normal distributions with unit variance, and the goal is to identify signals with positive mean effects. A conventional approach is to compute…

Methodology · Statistics 2026-05-15 Kwangok Seo , Johan Lim , Hyungwon Choi , Jaesik Jeong

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

Methodology · Statistics 2021-03-05 Lizhen Nie , Dan L. Nicolae

We present the results of a large number of simulation studies regarding the power of various non-parametric two-sample tests for multivariate data. This includes both continuous and discrete data. In general no single method can be relied…

Methodology · Statistics 2025-07-23 Wolfgang Rolke

In a novel approach to the multiple testing problem, Efron (2004; 2007) formulated estimators of the distribution of test statistics or nominal p-values under a null distribution suitable for modeling the data of thousands of unaffected…

Methodology · Statistics 2012-10-30 David R. Bickel

The statistical analysis of discrete data has been the subject of extensive statistical research dating back to the work of Pearson. In this survey we review some recently developed methods for testing hypotheses about high-dimensional…

Machine Learning · Statistics 2017-12-19 Sivaraman Balakrishnan , Larry Wasserman

Statistical hypothesis testing is the central method to demarcate scientific theories in both exploratory and inferential analyses. However, whether this method befits such purpose remains a matter of debate. Established approaches to…

Data Analysis, Statistics and Probability · Physics 2024-10-29 Orestis Loukas , Ho-Ryun Chung

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

Methodology · Statistics 2021-06-23 Michael Messer

One class of statistical hypothesis testing procedures is the indisputable equivalence tests, whose main objective is to establish practical equivalence rather than the usual statistical significant difference. These hypothesis tests are…

Methodology · Statistics 2024-01-04 Daniel Ochieng

Permutation tests are a distribution free way of performing hypothesis tests. These tests rely on the condition that the observed data are exchangeable among the groups being tested under the null hypothesis. This assumption is easily…

Methodology · Statistics 2017-12-14 Daniell Toth

Nonparametric covariate adjustment is considered for log-rank type tests of treatment effect with right-censored time-to-event data from clinical trials applying covariate-adaptive randomization. Our proposed covariate-adjusted log-rank…

Methodology · Statistics 2023-01-23 Ting Ye , Jun Shao , Yanyao Yi

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information…

Methodology · Statistics 2018-02-23 Lynna Chu , Hao Chen

We discuss a general approach to handling "multiple hypotheses" testing in the case when a particular hypothesis states that the vector of parameters identifying the distribution of observations belongs to a convex compact set associated…

Statistics Theory · Mathematics 2016-02-24 A. Goldenshluger , A. Juditski , A. Nemirovski

Several hypothesis testing methods have been proposed to validate the assumption of isotropy in spatial point patterns. A majority of these methods are characterised by an unknown distribution of the test statistic under the null hypothesis…

Methodology · Statistics 2025-04-09 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin

This paper proposes a class of origin-smooth approximators of indicators underlying the sum-of-negative-part statistic for testing multiple inequalities. The need for simulation or bootstrap to obtain test critical values is thereby…

Methodology · Statistics 2012-06-27 Le-Yu Chen , Jerzy Szroeter

The problem of identifying regions of spatially interesting, different or adversarial behavior is inherent to many practical applications involving distributed multisensor systems. In this work, we develop a general framework stemming from…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Martin Gölz , Abdelhak M. Zoubir , Visa Koivunen

We study the problem of active nonparametric sequential two-sample testing over multiple heterogeneous data sources. In each time slot, a decision-maker adaptively selects one of $K$ data sources and receives a paired sample generated from…

Statistics Theory · Mathematics 2025-12-30 Chia-Yu Hsu , Shubhanshu Shekhar

In this article, we propose a class of test statistics for a change point in the mean of high-dimensional independent data. Our test integrates the U-statistic based approach in a recent work by \cite{hdcp} and the $L_q$-norm based…

Methodology · Statistics 2021-02-01 Yangfan Zhang , Runmin Wang , Xiaofeng Shao

We describe group sequential tests which efficiently incorporate information from multiple endpoints allowing for early stopping at pre-planned interim analyses. We formulate a testing procedure where several outcomes are examined, and…

Methodology · Statistics 2024-05-09 Abigail J. Burdon , Thomas Jaki

This paper studies the change point problem for a general parametric, univariate or multivariate family of distributions. An information theoretic procedure is developed which is based on general divergence measures for testing the…

Statistics Theory · Mathematics 2014-03-26 Apostolos Batsidis , Nirian Martín , Leandro Pardo , Konstantinos Zografos

Conventional multiple hypothesis tests use step-up, step-down, or closed testing methods to control the overall error rates. We will discuss marrying these methods with adaptive multistage sampling rules and stopping rules to perform…

Methodology · Statistics 2011-07-12 Jay Bartroff , Tze Leung Lai