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A class of tests for change-point detection designed to be particularly sensitive to changes in the cross-sectional rank correlation of multivariate time series is proposed. The derived procedures are based on several multivariate…

统计方法学 · 统计学 2015-02-27 Ivan Kojadinovic , Jean-François Quessy , Tom Rohmer

The "maximum similarity correlation" definition introduced in this study is motivated by the seminal work of Szekely et al on "distance covariance" (Ann. Statist. 2007, 35: 2769-2794; Ann. Appl. Stat. 2009, 3: 1236-1265). Instead of using…

The extension of bivariate measures of dependence to non-Euclidean spaces is a challenging problem. The non-linear nature of these spaces makes the generalisation of classical measures of linear dependence (such as the covariance) not…

统计理论 · 数学 2024-10-10 Meshal Abuqrais , Davide Pigoli

We introduce kernel integrated $R^2$, a new measure of statistical dependence that combines the local normalization principle of the recently introduced integrated $R^2$ with the flexibility of reproducing kernel Hilbert spaces (RKHSs). The…

In this paper we compare two regression curves by measuring their difference by the area between the two curves, represented by their $L^1$-distance. We develop asymptotic confidence intervals for this measure and statistical tests to…

统计理论 · 数学 2023-02-03 Patrick Bastian , Holger Dette , Lukas Koletzko , Kathrin Möllenhoff

Multiple raters are often needed to be used interchangeably in practice for measurement or evaluation. Assessing agreement among these multiple raters via agreement indices are necessary before their participation. While the intuitively…

统计方法学 · 统计学 2020-06-09 Tongrong Wang , Huiman X. Barnhart

Measuring dependence between two events, or equivalently between two binary random variables, amounts to expressing the dependence structure inherent in a $2\times 2$ contingency table in a real number between $-1$ and $1$. Countless such…

统计方法学 · 统计学 2025-11-13 Marc-Oliver Pohle , Timo Dimitriadis , Jan-Lukas Wermuth

Statistical inference on the explained variation of an outcome by a set of covariates is of particular interest in practice. When the covariates are of moderate to high-dimension and the effects are not sparse, several approaches have been…

统计方法学 · 统计学 2022-01-24 Hua Yun Chen

Kendall rank correlation coefficient is used to measure the ordinal association between two measurements. In this paper, we introduce the Concordance coefficient as a generalization of the Kendall rank correlation, and illustrate its use to…

统计方法学 · 统计学 2020-11-13 Juan Francisco Monge

Data uniformity is a concept associated with several semantic data characteristics such as lack of features, correlation and sample bias. This article introduces a novel measure to assess data uniformity and detect uniform pointsets on…

计算几何 · 计算机科学 2020-04-14 Panagiotis Sidiropoulos

We explore consistency among different distance measures, including Supernovae Type Ia data, measurements of the Hubble parameter, and determination of the Baryon acoustic oscillation scale. We present new constraints on the cosmic…

宇宙学与河外天体物理 · 物理学 2009-06-19 A. Avgoustidis , Licia Verde , Raul Jimenez

This paper studies the multi-task high-dimensional linear regression models where the noise among different tasks is correlated, in the moderately high dimensional regime where sample size $n$ and dimension $p$ are of the same order. Our…

统计理论 · 数学 2022-06-16 Kai Tan , Gabriel Romon , Pierre C Bellec

Leveraging the disparity information from both left and right views is crucial for stereo disparity estimation. Left-right consistency check is an effective way to enhance the disparity estimation by referring to the information from the…

计算机视觉与模式识别 · 计算机科学 2018-04-04 Zequn Jie , Pengfei Wang , Yonggen Ling , Bo Zhao , Yunchao Wei , Jiashi Feng , Wei Liu

We present a simulation-based evaluation of the Inference Headroom Ratio (IHR), a dimensionless diagnostic quantity for characterizing inference stability in constrained decision systems. IHR formalizes the relationship between a system's…

人工智能 · 计算机科学 2026-04-23 Robert Reinertsen

Linear regression is a frequently used tool in statistics, however, its validity and interpretability relies on strong model assumptions. While robust estimates of the coefficients' covariance extend the validity of hypothesis tests and…

统计方法学 · 统计学 2015-04-23 Werner Brannath , Martin Scharpenberg

Measuring the coherence of text is a vital aspect of evaluating the quality of written content. Recent advancements in neural coherence modeling have demonstrated their efficacy in capturing entity coreference and discourse relations,…

计算与语言 · 计算机科学 2025-03-13 Zhecheng Sheng , Tianhao Zhang , Chen Jiang , Dongyeop Kang

Sparsity promoting norms are frequently used in high dimensional regression. A limitation of such Lasso-type estimators is that the optimal regularization parameter depends on the unknown noise level. Estimators such as the concomitant…

机器学习 · 统计学 2020-09-04 Quentin Bertrand , Mathurin Massias , Alexandre Gramfort , Joseph Salmon

The problem of detecting changes in covariance for a single pair of features has been studied in some detail, but may be limited in importance or general applicability. In contrast, testing equality of covariance matrices of a {\it set} of…

统计方法学 · 统计学 2017-12-12 Yi-Hui Zhou

In this paper, we consider a bidimensional autoregressive model of order 1 with $\alpha-$stable noise. Since in this case the classical measure of dependence known as the covariance function is not defined, the spatio-temporal dependence…

概率论 · 数学 2019-11-27 Aleksandra Grzesiek , Agnieszka Wyłomańska

Existing metrics in competing risks survival analysis such as concordance and accuracy do not evaluate a model's ability to jointly predict the event type and the event time. To address these limitations, we propose a new metric, which we…

统计方法学 · 统计学 2019-08-20 Kartik Ahuja , Mihaela van der Schaar