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In this paper new tests for the independence of two high-dimensional vectors are investigated. We consider the case where the dimension of the vectors increases with the sample size and propose multivariate analysis of variance-type…

Statistics Theory · Mathematics 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya

The Mann-Whitney effect is an effect measure for the order of two sample-specific outcome variables. It has the interpretation of a probability and also a connection to the area under the ROC curve. In the literature it has been considered…

Methodology · Statistics 2026-04-02 Dennis Dobler , Alina Schenk , Matthias Schmid

We argue for supplementing the process of training a prediction algorithm by setting up a scheme for detecting the moment when the distribution of the data changes and the algorithm needs to be retrained. Our proposed schemes are based on…

Machine Learning · Computer Science 2021-02-23 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Ernst Ahlberg , Lars Carlsson , Alex Gammerman

We demonstrate how to test for conditional independence of two variables with categorical data using Poisson log-linear models. The size of the conditioning set of variables can vary from 0 (simple independence) up to many variables. We…

Methodology · Statistics 2017-06-08 Michail Tsagris

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

Statistics Theory · Mathematics 2007-06-13 Hongtu Zhu , Heping Zhang

There has been much interest in the nonparametric testing of conditional independence in the econometric and statistical literature, but the simplest and potentially most useful method, based on the sample partial correlation, seems to have…

Statistics Theory · Mathematics 2020-05-27 Wicher Bergsma

We consider an analysis of variance type problem, where the sample observations are random elements in an infinite dimensional space. This scenario covers the case, where the observations are random functions. For such a problem, we propose…

Methodology · Statistics 2022-07-26 Joydeep Chowdhury , Probal Chaudhuri

This paper proposes a novel test method for high-dimensional mean testing regard for the temporal dependent data. Comparison to existing methods, we establish the asymptotic normality of the test statistic without relying on restrictive…

Methodology · Statistics 2025-12-01 Yuchen Hu , Xiaoyi Wang , Long Feng

High-dimensional covariates often admit linear factor structure. To effectively screen correlated covariates in high-dimension, we propose a conditional variable screening test based on non-parametric regression using neural networks due to…

Econometrics · Economics 2024-08-21 Jianqing Fan , Weining Wang , Yue Zhao

The typical central limit theorems in high-frequency asymptotics for semimartingales are results on stable convergence to a mixed normal limit with an unknown conditional variance. Estimating this conditional variance usually is a hard…

Probability · Mathematics 2020-03-25 Mathias Vetter

Multivariate locally stationary functional time series provide a flexible framework for modeling complex data structures exhibiting both temporal and spatial dependencies while allowing for time-varying data generating mechanism. In this…

Methodology · Statistics 2025-01-15 Lujia Bai , Holger Dette , Weichi Wu

In biomedical studies, we are often interested in the association between different types of covariates and the times to disease events. Because the relationship between the covariates and event times is often complex, standard survival…

Methodology · Statistics 2024-01-19 Hoi Min Ng , Kin Yau Wong

This paper introduces a novel methodology that utilizes latency to unveil time-series dependence patterns. A customized statistical test detects memory dependence in event sequences by analyzing their inter-event time distributions.…

Econometrics · Economics 2023-09-22 Fabio Vanni , David Lambert

Nonlinear machine-learning models are increasingly used to discover causal relationships in time-series data, yet the interpretation of their outputs remains poorly understood. In particular, causal scores produced by regularized neural…

Machine Learning · Computer Science 2026-05-27 Valentina Kuskova , Dmitry Zaytsev , Michael Coppedge

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

Econometrics · Economics 2026-05-20 Martin Huber , Jannis Kueck

In this paper, we develop uniform inference methods for the conditional mode based on quantile regression. Specifically, we propose to estimate the conditional mode by minimizing the derivative of the estimated conditional quantile function…

Statistics Theory · Mathematics 2021-04-14 Tao Zhang , Kengo Kato , David Ruppert

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

Machine Learning · Statistics 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

The tetrad constraint is widely used to test whether four observed variables are conditionally independent given a latent variable, based on the fact that if four observed variables following a linear model are mutually independent after…

Methodology · Statistics 2026-04-01 Naiwen Ying , Ping Zhang , Shanshan Luo , Wang Miao

In high-dimensional time series, the component processes are often assembled into a matrix to display their interrelationship. We focus on detecting mean shifts with unknown change point locations in these matrix time series. Series that…

Methodology · Statistics 2024-07-16 Xinyu Zhang , Kung-Sik Chan
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