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The problem of testing the equality of the generating processes of two categorical time series is addressed in this work. To this aim, we propose three tests relying on a dissimilarity measure between categorical processes. Particular…

统计方法学 · 统计学 2023-05-02 Ángel López-Oriona , José Antonio Vilar Fernández , Pierpaolo D'Urso

We revisit the null distribution of the high-dimensional spatial-sign test of Wang et al. (2015) under mild structural assumptions on the scatter matrix. We show that the standardized test statistic converges to a non-Gaussian limit,…

统计方法学 · 统计学 2026-01-14 Ping Zhao , Long Feng

Let X, X_1,X_2,... be a sequence of i.i.d. random variables with mean $\mu=E X$. Let ${v_1^{(n)},...,v_n^{(n)}}_{n=1}^\infty$ be vectors of non-negative random variables (weights), independent of the data sequence…

统计理论 · 数学 2013-05-28 Miklos Csorgo , Yuliya Martsynyuk , Masoud Nasari

In this paper we study the performance of the most popular bootstrap schemes for multilevel data. Also, we propose a modified version of the wild bootstrap procedure for hierarchical data structures. The wild bootstrap does not require…

统计方法学 · 统计学 2015-08-25 Lucia Modugno , Simone Giannerini

Assessing whether two patient populations exhibit comparable event dynamics is essential for evaluating treatment equivalence, pooling data across cohorts, or comparing clinical pathways across hospitals or strategies. We introduce a…

统计方法学 · 统计学 2026-04-10 Zoe Kristin Lange , Maryam Farhadizadeh , Holger Dette , Nadine Binder

We propose a novel test statistic for testing exogeneity in the functional linear regression model. In contrast to Hausman-type tests in finite dimensional linear regression setups, a direct extension to the functional linear regression…

统计理论 · 数学 2022-08-16 Manuela Dorn , Melanie Birke , Carsten Jentsch

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…

统计方法学 · 统计学 2026-04-01 Naiwen Ying , Ping Zhang , Shanshan Luo , Wang Miao

Motivated by the importance of measuring the association between the response and predictors in high dimensional data, In this article, we propose a new mean variance test of independence between a categorical random variable and a…

统计方法学 · 统计学 2018-02-01 Hengjian Cui , Wei Zhong

While researchers commonly use the bootstrap for statistical inference, many of us have realized that the standard bootstrap, in general, does not work for Chatterjee's rank correlation. In this paper, we provide proof of this issue under…

统计理论 · 数学 2023-04-06 Zhexiao Lin , Fang Han

The multivariate linear regression model is an important tool for investigating relationships between several response variables and several predictor variables. The primary interest is in inference about the unknown regression coefficient…

统计理论 · 数学 2017-09-13 Daniel J. Eck

We propose a general new method, the conditional permutation test, for testing the conditional independence of variables $X$ and $Y$ given a potentially high-dimensional random vector $Z$ that may contain confounding factors. The proposed…

统计方法学 · 统计学 2019-05-08 Thomas B. Berrett , Yi Wang , Rina Foygel Barber , Richard J. Samworth

We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we propose a linear combination of empirical distance cross-covariances. We derive the asymptotic distribution…

统计理论 · 数学 2026-01-28 Annika Betken , Herold Dehling

In this paper, we propose a new test for checking the parametric form of the conditional variance based on distance covariance in nonlinear and nonparametric regression models. Inherit from the nice properties of distance covariance, our…

统计方法学 · 统计学 2022-05-19 Yue Hu , Haiqi Li , Falong Tan

Bootstrap is a useful tool for making statistical inference, but it may provide erroneous results under complex survey sampling. Most studies about bootstrap-based inference are developed under simple random sampling and stratified random…

统计理论 · 数学 2019-01-08 Zhonglei Wang , Jae Kwang Kim , Liuhua Peng

The increasing availability of time --and space-- resolved data describing human activities and interactions gives insights into both static and dynamic properties of human behavior. In practice, nevertheless, real-world datasets can often…

Traditional inference in cointegrating regressions requires tuning parameter choices to estimate a long-run variance parameter. Even in case these choices are "optimal", the tests are severely size distorted. We propose a novel…

计量经济学 · 经济学 2025-10-10 Karsten Reichold , Carsten Jentsch

By amalgamating data from disparate sources, the resulting integrated dataset becomes a valuable resource for statistical analysis. In probabilistic record linkage, the effectiveness of such integration relies on the availability of linkage…

统计方法学 · 统计学 2025-11-10 Siu-Ming Tam , Min Wang , Alicia Rambaldi , Dehua Tao

We test the hypothesis that simulataneous linear contrasts of multiple variance components equal zero in a Gaussian variance components model via a parametric bootstrap. Applications include but are not limited to nested and crossed…

统计方法学 · 统计学 2026-04-29 Alex Stringer , Jeffrey Negrea

We derive a Gaussian approximation result for the maximum of a sum of high-dimensional random vectors. Specifically, we establish conditions under which the distribution of the maximum is approximated by that of the maximum of a sum of the…

统计理论 · 数学 2018-01-24 Victor Chernozhukov , Denis Chetverikov , Kengo Kato

Variations in complex traits are influenced by multiple genetic variants, environmental risk factors, and their interactions. Though substantial progress has been made in identifying single genetic variants associated with complex traits,…

基因组学 · 定量生物学 2025-08-22 Ming Li , Ruo-Sin Peng , Changshuai Wei , Qing Lu