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Statistical models for describing the probability distribution over the states of biological systems are commonly used for dimensional reduction. Among these models, pairwise models are very attractive in part because they can be fit using…

定量方法 · 定量生物学 2009-11-30 Yasser Roudi , Erik Aurell , John Hertz

We provide a new general theorem for multivariate normal approximation on convex sets. The theorem is formulated in terms of a multivariate extension of Stein couplings. We apply the results to a homogeneity test in dense random graphs and…

概率论 · 数学 2016-08-14 Xiao Fang , Adrian Röllin

We develop a general statistical framework for the analysis and inference of large tree-structured data, with a focus on developing asymptotic goodness-of-fit tests. We first propose a consistent statistical model for binary trees, from…

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

计量经济学 · 经济学 2025-02-04 Jean-Yves Pitarakis

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

软件工程 · 计算机科学 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

A scan statistic is examined for the purpose of testing the existence of a global peak in a random process with dependent variables of any distribution. The scan statistic tail probability is obtained based on the covariance of the moving…

统计计算 · 统计学 2013-09-24 Anat Reiner-Benaim

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

应用统计 · 统计学 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

This manuscript investigates the stochastic comparisons of the second-order statistics from dependent and heterogeneous general semi-parametric family of distributions observations. Some sufficient conditions on the usual stochastic order…

统计理论 · 数学 2024-07-29 Guoqiang Lv

N-of-1 trials allow inference between two treatments given to a single individual. Most often, clinical investigators analyze an individual's N-of-1 trial data with usual t-tests or simple nonparametric methods. These simple methods do not…

统计方法学 · 统计学 2020-07-01 Jillian Tang , Reid D. Landes

The simple and partial Mantel tests are routinely used in many areas of evolutionary biology to assess the significance of the association between two or more matrices of distances relative to the same pairs of individuals or demes. Partial…

种群与进化 · 定量生物学 2012-11-01 Gilles Guillot , François Rousset

Covariate shift in the test data is a common practical phenomena that can significantly downgrade both the accuracy and the fairness performance of the model. Ensuring fairness across different sensitive groups under covariate shift is of…

机器学习 · 计算机科学 2024-01-09 Shreyas Havaldar , Jatin Chauhan , Karthikeyan Shanmugam , Jay Nandy , Aravindan Raghuveer

Categorical variables are of uttermost importance in biomedical research. When two of them are considered, it is often the case that one wants to test whether or not they are statistically dependent. We show weaknesses of classical methods…

Two-sample tests for multivariate data and especially for non-Euclidean data are not well explored. This paper presents a novel test statistic based on a similarity graph constructed on the pooled observations from the two samples. It can…

统计方法学 · 统计学 2024-08-12 Hao Chen , Jerome H. Friedman

Advancement in sequencing technology enables the study of association between complex disorders and rare variants with low minor allele frequencies. One of the major challenges in rare variant testing is lack of statistical power of…

定量方法 · 定量生物学 2016-07-27 Rui Sun , Haoyi Weng , Inchi Hu , Junfeng Guo , William K. K. Wu , Benny Chung-Ying Zee , Maggie Haitian Wang

Correlations that cannot be reproduced with local variables certify the generation of private randomness. Usually, the violation of a Bell inequality is used to quantify the amount of randomness produced. Here, we show how private…

量子物理 · 物理学 2014-04-16 Jean-Daniel Bancal , Lana Sheridan , Valerio Scarani

This paper studies inference in cluster randomized trials where treatment status is determined according to a "matched pairs" design. Here, by a cluster randomized experiment, we mean one in which treatment is assigned at the level of the…

计量经济学 · 经济学 2025-08-14 Yuehao Bai , Jizhou Liu , Azeem M. Shaikh , Max Tabord-Meehan

We provide a distribution-free test that can be used to determine whether any two joint distributions $p$ and $q$ are statistically different by inspection of a large enough set of samples. Following recent efforts from Long et al. [1], we…

机器学习 · 计算机科学 2016-07-26 Francesco Solera , Andrea Palazzi

Based on a generalized cosine measure between two symmetric matrices, we propose a general framework for one-sample and two-sample tests of covariance and correlation matrices. We also develop a set of associated permutation algorithms for…

统计方法学 · 统计学 2018-12-05 Longyang Wu , Chengguo Weng , Xu Wang , Kesheng Wang , Xuefeng Liu

Most existing methods for testing equality of means of functional data from multiple populations rely on assumptions of equal covariance and/or Gaussianity. In this work we provide a new testing method based on a statistic that is…

统计方法学 · 统计学 2025-09-30 Chuang Xu , Andrew T. A. Wood , Yanrong Yang

The gold standard for identifying causal relationships is a randomized controlled experiment. In many applications in the social sciences and medicine, the researcher does not control the assignment mechanism and instead may rely upon…

应用统计 · 统计学 2016-11-22 Johann Gagnon-Bartsch , Yotam Shem-Tov