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In statistics permutations typically arise in the context of rank plots for two-dimensional data. Such plots can also be interpreted as discrete copulas. In discrete mathematics, typically in the context of the description of large…

Statistics Theory · Mathematics 2026-05-14 L. Baringhaus , R. Grübel

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…

Statistics Theory · Mathematics 2022-03-14 Yuke Shi , Wei Zhang , Aiyi Liu , Qizhai Li

In observational studies, the observed association between an exposure and outcome of interest may be distorted by unobserved confounding. Causal sensitivity analysis can be used to assess the robustness of observed associations to…

Methodology · Statistics 2025-11-04 Rui Hu , Ted Westling

When the response mechanism is believed to be not missing at random (NMAR), a valid analysis requires stronger assumptions on the response mechanism than standard statistical methods would otherwise require. Semiparametric estimators have…

Methodology · Statistics 2020-05-08 Kosuke Morikawa , Jae Kwang Kim

The nonparametric test for change-point detection proposed by Gombay and Horv\'ath is revisited and extended in the broader setting of empirical process theory. The resulting testing procedure for potentially multivariate observations is…

Methodology · Statistics 2012-11-06 Mark Holmes , Ivan Kojadinovic , Jean-François Quessy

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

Objective: The aim of this study is to develop an automated classification algorithm for polysomnography (PSG) recordings to detect non-apneic and non-hypopneic arousals. Our particular focus is on detecting the respiratory effort-related…

Signal Processing · Electrical Eng. & Systems 2019-09-09 Ali Bahrami Rad , Morteza Zabihi , Zheng Zhao , Moncef Gabbouj , Aggelos K. Katsaggelos , Simo Särkkä

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

Methodology · Statistics 2025-06-23 Yichuan Bai , Lynna Chu

Let X; Z be r and s-dimensional covariates, respectively, used to model the response variable Y as Y = m(X;Z) + \sigma(X;Z)\epsilon. We develop an ANOVA-type test for the null hypothesis that Z has no influence on the regression function,…

Methodology · Statistics 2016-11-11 Adriano Zanin Zambom , Michael G. Akritas

Propensity score matching (PSM) and augmented inverse propensity weighting (AIPW) are widely used in observational studies to estimate causal effects. The two approaches present complementary features. The AIPW estimator is doubly robust…

Methodology · Statistics 2025-12-12 Tanchumin Xu , Yunshu Zhang , Shu Yang

As second-order methods, Gauss--Newton-type methods can be more effective than first-order methods for the solution of nonsmooth optimization problems with expensive-to-evaluate smooth components. Such methods, however, often do not…

Optimization and Control · Mathematics 2020-09-01 Jyrki Jauhiainen , Petri Kuusela , Aku Seppänen , Tuomo Valkonen

Rank-based inference methods are applied in various disciplines, typically when procedures relying on standard normal theory are not justifiable, for example when data are not symmetrically distributed, contain outliers, or responses are…

Statistics Theory · Mathematics 2018-02-16 Edgar Brunner , Frank Konietschke , Arne C. Bathke , Markus Pauly

A CUSUM type test for constant correlation that goes beyond a previously suggested correlation constancy test by considering Spearman's rho in arbitrary dimensions is proposed. Since the new test does not require the existence of any…

Methodology · Statistics 2014-01-31 Dominik Wied , Herold Dehling , Maarten van Kampen , Daniel Vogel

We introduce kernel nonparametric tests for Lancaster three-variable interaction and for total independence, using embeddings of signed measures into a reproducing kernel Hilbert space. The resulting test statistics are straightforward to…

Methodology · Statistics 2013-06-11 Dino Sejdinovic , Arthur Gretton , Wicher Bergsma

Comparing multivariate yield quality distributions across spatially referenced agricultural fields is complicated by two pervasive features: non-normality and spatial autocorrelation. Classical procedures such as ANOVA, MANOVA, and standard…

Methodology · Statistics 2026-03-03 Marco Mandap

In genetic association studies, detecting disease-genotype associations is a primary goal. For most diseases, the underlying genetic model is unknown, and we study seven robust test statistics for monotone association. For a given test…

Methodology · Statistics 2020-04-13 Mette Langaas , Øyvind Bakke

We present a novel approach to test the consistency of the cosmological models with multiband CMB data using a nonparametric approach. In our analysis we calibrate the REACT (Risk Estimation and Adaptation after Coordinate Transformation)…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Amir Aghamousa , Arman Shafieloo

The development of high-dimensional white noise test is important in both statistical theories and applications, where the dimension of the time series can be comparable to or exceed the length of the time series. This paper proposes…

Statistics Theory · Mathematics 2023-07-20 Dachuan Chen , Fengyi Song , Long Feng

Recent years witnessed an extensive development of the theory of the critical point in two-dimensional statistical systems, which allowed to prove {\it existence} and {\it conformal invariance} of the {\it scaling limit} for two-dimensional…

Mathematical Physics · Physics 2017-01-20 Giovanni Antinucci

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