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We propose a nonparametric procedure to test for changes in correlation matrices at an unknown point in time. The new test requires only mild assumptions on the serial dependence structure and has considerable power in finite samples. We…

Methodology · Statistics 2014-10-29 Dominik Wied

For measuring the strength of visually-observed subpopulation differences, the Population Difference Criterion is proposed to assess the statistical significance of visually observed subpopulation differences. It addresses the following…

Methodology · Statistics 2023-09-21 Xi Yang , Jan Hannig , Katherine A. Hoadley , Iain Carmichael , J. S. Marron

Given a random sample of observations, mixtures of normal densities are often used to estimate the unknown continuous distribution from which the data come. Here we propose the use of this semiparametric framework for testing symmetry about…

Methodology · Statistics 2012-04-23 Silvia Bacci , Francesco Bartolucci

This paper studies permutation tests for regression parameters in a time series setting, where the time series is assumed stationary but may exhibit an arbitrary (but weak) dependence structure. In such a setting, it is perhaps surprising…

Statistics Theory · Mathematics 2024-04-11 Joseph P. Romano , Marius A. Tirlea

Early detection of person-to-person transmission of emerging infectious diseases such as avian influenza is crucial for containing pandemics. We developed a simple permutation test and its refined version for this purpose. A simulation…

Applications · Statistics 2007-09-14 Yang Yang , Ira M. Longini , M. Elizabeth Halloran

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

Statistics Theory · Mathematics 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun

The comparison of a parameter in $k$ populations is a classical problem in statistics. Testing for the equality of means or variances are typical examples. Most procedures designed to deal with this problem assume that $k$ is fixed and that…

Symmetry tests provide an important probe for the structure of elementary particle interactions and for the validity of the standard model. However, it is pointed out that in the interpretation of such experiments one must keep in mind that…

High Energy Physics - Phenomenology · Physics 2011-04-15 Barry R. Holstein

We consider statistical procedures for hypothesis testing of real valued functionals of matched pairs with missing values. In order to improve the accuracy of existing methods, we propose a novel multiplication combination procedure.…

Statistics Theory · Mathematics 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of observations. Motivated by this problem, in this contribution we first investigate the extremes of Gaussian fields…

Probability · Mathematics 2018-05-09 Long Bai

Permutation tests date back nearly a century to Fisher's randomized experiments, and remain an immensely popular statistical tool, used for testing hypotheses of independence between variables and other common inferential questions. Much of…

Methodology · Statistics 2022-12-05 Aaditya Ramdas , Rina Foygel Barber , Emmanuel J. Candes , Ryan J. Tibshirani

In this paper, we construct a consistent non-parametric test for testing the equality of population medians for different samples when the observations in each sample are independent and identically distributed. This test can be further…

Methodology · Statistics 2025-01-10 Swapnaneel Bhattacharyya

Standard tests of the "no-treatment-effect" hypothesis for a comparative experiment include permutation tests, the Wilcoxon rank sum test, two-sample $t$ tests, and Fisher-type randomization tests. Practitioners are aware that these…

Methodology · Statistics 2015-09-11 Joseph B. Lang

Permutation tests are widely used for statistical hypothesis testing when the sampling distribution of the test statistic under the null hypothesis is analytically intractable or unreliable due to finite sample sizes. One critical challenge…

Computation · Statistics 2023-08-29 Yang Shi , Huining Kang , Ji-Hyun Lee , Hui Jiang

In group sequential designs, where several data looks are conducted for early stopping, we generally assume the vector of test statistics from the sequential analyses follows (at least approximately or asymptotially) a multivariate normal…

Statistics Theory · Mathematics 2024-04-22 Long-Hao Xu , Tobias Mütze , Frank Konietschke , Tim Friede

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is…

Logic in Computer Science · Computer Science 2010-06-29 Alessandro Aldini

Permutations of correlated sequences of random variables appear naturally in a variety of applications such as graph matching and asynchronous communications. In this paper, the asymptotic statistical behavior of such permuted sequences is…

Information Theory · Computer Science 2020-01-22 Farhad Shirani , Siddharth Garg , Elza Erkip

Model checking is the process of deciding whether a system satisfies a given specification. Often, when the setting comprises multiple processes, the specifications are over sets of input and output signals that correspond to individual…

Logic in Computer Science · Computer Science 2020-07-24 Shaull Almagor

Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions.…

Methodology · Statistics 2011-11-01 Mohamed Boutahar , Denys Pommeret

We consider a nonlinear polynomial regression model in which we wish to test the null hypothesis of structural stability in the regression parameters against the alternative of a break at an unknown time. We derive the extreme value…

Statistics Theory · Mathematics 2008-10-23 Alexander Aue , Lajos Horváth , Marie Hušková , Piotr Kokoszka