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Asymptotic methods for hypothesis testing in high-dimensional data usually require the dimension of the observations to increase to infinity, often with an additional condition on its rate of increase compared to the sample size. On the…

统计理论 · 数学 2024-03-26 Joydeep Chowdhury , Subhajit Dutta , Marc G. Genton

Chatterjee (2021) introduced a novel independence test that is rank-based, asymptotically normal and consistent against all alternatives. One limitation of Chatterjee's test is its low statistical power for detecting monotonic…

统计方法学 · 统计学 2026-05-19 Qingyang Zhang

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…

统计方法学 · 统计学 2022-05-16 Jiří Dvořák , Tomáš Mrkvička

Sign tests are among the most successful procedures in multivariate nonparametric statistics. In this paper, we consider several testing problems in multivariate analysis, directional statistics and multivariate time series analysis, and we…

统计理论 · 数学 2016-03-31 Davy Paindaveine , Thomas Verdebout

Testing for mediation effect poses a challenge since the null hypothesis (i.e., the absence of mediation effects) is composite, making most existing mediation tests quite conservative and often underpowered. In this work, we propose a…

统计方法学 · 统计学 2024-11-20 Asmita Roy , Huijuan Zhou , Ni Zhao , Xianyang Zhang

The weighted kappa coefficient of a binary diagnostic test is a measure of the beyond-chance agreement between the diagnostic test and the gold standard, and depends on the sensitivity and specificity of the diagnostic test, on the disease…

其他统计学 · 统计学 2024-09-02 Jose Antonio Roldan-Nofuentes , Saad bouh Sidaty-regad

When multiple investigators analyze a common dataset, the data reuse induces dependence across testing procedures, affecting the distribution of errors. Existing techniques of managing dependent tests require either cross-study coordination…

统计理论 · 数学 2026-04-10 Reid Dale , Jordan Rodu , Maria E. Currie , Mike Baiocchi

In this paper we explore the behaviour of dependent test statistics for testing of multiple hypothesis . To keep simplicity, we have considered a mixture normal model with equicorrelated correlation set up. With a simple linear…

统计理论 · 数学 2020-01-09 Rahul Roy , Subir Kumar Bhandari

For a given testing problem, let $U_1,...,U_n$ be individually valid and conditionally on the data i.i.d.\ P-variables (often called P-values). For example, the data could come in groups, and each $U_i$ could be based on subsampling just…

统计方法学 · 统计学 2011-08-22 Lutz Mattner

Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a distance or dissimilarity matrix for outcomes and predictor variables of interest in genetic…

统计理论 · 数学 2022-03-14 Yuke Shi , Wei Zhang , Aiyi Liu , Qizhai Li

A Partial Conjunction Hypothesis (PCH) test combines information across a set of base hypotheses to determine whether some subset is non-null. PCH tests arise in a diverse array of fields, but standard PCH testing methods can be highly…

统计方法学 · 统计学 2024-05-16 Biyonka Liang , Lu Zhang , Lucas Janson

In the world of multivariate extremes, estimation of the dependence structure still presents a challenge and an interesting problem. A procedure for the bivariate case is presented that opens the road to a similar way of handling the…

统计理论 · 数学 2008-11-14 John H. J. Einmahl , Andrea Krajina , Johan Segers

The Peaks-Over Threshold is a fundamental method in the estimation of rare events such as small exceedance probabilities, extreme quantiles and return periods. The main problem with the Peaks-Over Threshold method relates to the selection…

统计方法学 · 统计学 2018-12-11 Richard Minkah , Tertius de Wet

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.…

统计理论 · 数学 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly

We suggest novel correlation coefficients which equal the maximum correlation for a class of bivariate Lancaster distributions while being only slightly smaller than maximum correlation for a variety of further bivariate distributions. In…

统计方法学 · 统计学 2024-05-01 Hajo Holzmann , Bernhard Klar

This paper develops novel conformal methods to test whether a new observation was sampled from the same distribution as a reference set. Blending inductive and transductive conformal inference in an innovative way, the described methods can…

统计方法学 · 统计学 2022-08-26 Ziyi Liang , Matteo Sesia , Wenguang Sun

Two common concerns raised in analyses of randomized experiments are (i) appropriately handling issues of non-compliance, and (ii) appropriately adjusting for multiple tests (e.g., on multiple outcomes or subgroups). Although simple…

统计方法学 · 统计学 2016-05-25 Joseph J. Lee , Laura Forastiere , Luke Miratrix , Natesh S. Pillai

We propose new statistical tests, in high-dimensional settings, for testing the independence of two random vectors and their conditional independence given a third random vector. The key idea is simple, i.e., we first transform each…

统计方法学 · 统计学 2026-01-28 Jinyuan Chang , Yue Du , Jing He , Qiwei Yao

We present sharp tail asymptotics for the density and the distribution function of linear combinations of correlated log-normal random variables, that is, exponentials of components of a correlated Gaussian vector. The asymptotic behavior…

概率论 · 数学 2016-01-07 Archil Gulisashvili , Peter Tankov

We introduce a method for computation of exact conditional efficiency robust enumeration p-values for detection of genotype--phenotype associations at a single bi-allelic genetic locus. Our method can be based on any arbitrary ranking test…

统计方法学 · 统计学 2015-05-14 Max Moldovan , Mette Langaas