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We compare measures of concordance that arise as Pearson's linear correlation coefficient between two random variables transformed so that they follow the so-called concordance-inducing distributions. The class of such transformed rank…

Statistics Theory · Mathematics 2023-03-07 Takaaki Koike , Marius Hofert

A class of R-estimators based on the concepts of multivariate signed ranks and the optimal rank-based tests developed in Hallin and Paindaveine [Ann. Statist. 34 (2006)] is proposed for the estimation of the shape matrix of an elliptical…

Statistics Theory · Mathematics 2011-11-10 Marc Hallin , Hannu Oja , Davy Paindaveine

Quantifying concordance between two random variables is crucial in applications. Traditional estimation techniques for commonly used concordance measures, such as Gini's gamma or Spearman's rho, often fail when data contain ties. This is…

Methodology · Statistics 2025-10-21 Jasper Arends , Guanjie Lyu , Mhamed Mesfioui , Elisa Perrone , Julien Trufin

The problem of testing the reliability of ensemble forecasting systems is revisited. A popular tool to assess the reliability of ensemble forecasting systems (for scalar verifications) is the rank histogram, this histogram is expected to be…

Atmospheric and Oceanic Physics · Physics 2018-12-26 Jochen Bröcker

We study the distribution of a general class of asymptoticallylinear statistics which are symmetric functions of $N$ independent observations. The distribution functions of these statistics are approximated by an Edgeworth expansion with a…

Statistics Theory · Mathematics 2021-02-09 Friedrich Götze , Mindaugas Bloznelis

Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

Machine Learning · Computer Science 2024-07-08 Rui Luo , Zhixin Zhou

In two influential contributions, Rosenbaum (2005, 2020) advocated for using the distances between component-wise ranks, instead of the original data values, to measure covariate similarity when constructing matching estimators of average…

Statistics Theory · Mathematics 2024-01-09 Matias D. Cattaneo , Fang Han , Zhexiao Lin

High-dimensional regression often suffers from heavy-tailed noise and outliers, which can severely undermine the reliability of least-squares based methods. To improve robustness, we adopt a non-smooth Wilcoxon score based rank objective…

Machine Learning · Statistics 2026-01-29 Meixia Lin , Meijiao Shi , Yunhai Xiao , Qian Zhang

We consider change-point tests based on rank statistics to test for structural changes in long-range dependent observations. Under the hypothesis of stationary time series and under the assumption of a change with decreasing change-point…

Statistics Theory · Mathematics 2020-10-01 Annika Betken , Martin Wendler

Rank regression offers robustness to outliers and heavy-tailed response distributions, invariance to monotonic transformations, and improved efficiency under non-Gaussian errors, making it a versatile tool for analyzing complex data. This…

Methodology · Statistics 2026-05-25 Jiyuan Tu , Suqi Wu , Yichen Zhang , Wen-Xin Zhou

A common method for deriving non-parametric tests is to reformulate a parametric test in terms of sample ranks. Despite being distribution free (even in finite samples), the resulting tests often display remarkable asymptotic power…

Statistics Theory · Mathematics 2022-08-10 Dan D. Erdmann-Pham , Jonathan Terhorst , Yun S. Song

A new robust correlation estimator based on the spatial sign covariance matrix (SSCM) is proposed. We derive its asymptotic distribution and influence function at elliptical distributions. Finite sample and robustness properties are studied…

Methodology · Statistics 2022-04-12 Alexander Dürre , Daniel Vogel , Roland Fried

This paper considers the problem of directly generalizing the R-estimator under a linear model formulation with right-censored outcomes. We propose a natural generalization of the rank and corresponding estimating equation for the…

Methodology · Statistics 2026-01-13 Glen A. Satten , Mo Li , Ni Zhao , Robert L. Strawderman

Bootstrap smoothed (bagged) parameter estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. The key result of Efron (2014) is a very convenient and widely applicable formula for a…

Methodology · Statistics 2019-04-29 Paul Kabaila , Christeen Wijethunga

We develop joint confidence regions for linear regression coefficients when the regressors and errors are jointly stationary and ergodic with unspecified serial dependence. The method applies random smoothing, using an independent auxiliary…

Methodology · Statistics 2026-05-21 Mous-Abou Hamadou , Martial Longla , Mathias Nthiani Muia , Mahmud Hasan

A fundamental problem in statistics is measuring the correlation between two rankings of a set of items. Kendall's $\tau$ and Spearman's $\rho$ are well established correlation coefficients whose symmetric structure guarantees zero expected…

Methodology · Statistics 2026-03-03 Pierangelo Lombardo

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

The purpose of this work is to improve the efficiency in estimating the average causal effect (ACE) on the survival scale where right-censoring exists and high-dimensional covariate information is available. We propose new estimators using…

Methodology · Statistics 2021-06-29 Ran Dai , Cheng Zheng , Mei-Jie Zhang

Given independent samples from two univariate distributions, the one-sided Wilcoxon-Mann-Whitney statistic may be used to conduct a rank-based test of first-order stochastic dominance. We broaden the scope of applicability of such tests by…

Econometrics · Economics 2026-03-03 Brendan K. Beare , Jackson D. Clarke

In the last decade, many diverse advances have occurred in the field of information extraction from data. Information extraction in its simplest form takes place in computing environments, where structured data can be extracted through a…

Machine Learning · Computer Science 2019-11-27 Nino Arsov , Milan Dukovski , Blagoja Evkoski , Stefan Cvetkovski