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A common problem in genetics is that of testing whether a set of highly dependent gene expressions differ between two populations, typically in a high-dimensional setting where the data dimension is larger than the sample size. Most…

统计方法学 · 统计学 2015-03-11 Måns Thulin

We propose novel kernel-based tests for assessing the equivalence between distributions. Traditional goodness-of-fit testing is inappropriate for concluding the absence of distributional differences, because failure to reject the null…

机器学习 · 统计学 2026-03-17 Xing Liu , Axel Gandy

We propose an independence test for random variables valued into metric spaces by using a test statistic obtained from appropriately centering and rescaling the squared Hilbert-Schmidt norm of the usual empirical estimator of normalized…

统计理论 · 数学 2022-11-11 Terence Kevin Manfoumbi Djonguet , Guy Martial Nkiet

We propose new classes of tests for the Pareto type I distribution using the empirical characteristic function. These tests are $U$ and $V$ statistics based on a characterisation of the Pareto distribution involving the distribution of the…

统计方法学 · 统计学 2023-01-24 L. Ndwandwe , J. S. Allison , M. Smuts , I. J. H. Visagie

In this paper, we propose a new modified likelihood ratio test (LRT) for simultaneously testing mean vectors and covariance matrices of two-sample populations in high-dimensional settings. By employing tools from Random Matrix Theory (RMT),…

应用统计 · 统计学 2024-03-12 Zhenzhen Niu , Jianghao Li , Wenya Luo , Zhidong Bai

In large scale genetic association studies, a primary aim is to test for association between genetic variants and a disease outcome. The variants of interest are often rare, and appear with low frequency among subjects. In this situation,…

统计方法学 · 统计学 2017-12-20 Arjun Sondhi , Kenneth Martin Rice

The $T$-test is probably the most popular statistical test; it is routinely recommended by the textbooks. The applicability of the test relies upon the validity of normal or Student's approximation to the distribution of Student's statistic…

统计理论 · 数学 2021-01-01 S. Y. Novak

We introduce a new discrepancy score between two distributions that gives an indication on their similarity. While much research has been done to determine if two samples come from exactly the same distribution, much less research…

机器学习 · 计算机科学 2012-10-16 Maayan Harel , Shie Mannor

This study aims to evaluate the performance of power in the likelihood ratio test for changepoint detection by bootstrap sampling, and proposes a hypothesis test based on bootstrapped confidence interval lengths. Assuming i.i.d normally…

统计方法学 · 统计学 2020-11-10 Ryan Chen , Javier Cabrera

The conditional randomization test (CRT) was recently proposed to test whether two random variables X and Y are conditionally independent given random variables Z. The CRT assumes that the conditional distribution of X given Z is known…

机器学习 · 计算机科学 2023-04-11 Shuai Li , Ziqi Chen , Hongtu Zhu , Christina Dan Wang , Wang Wen

For randomized controlled trials to be conclusive, it is important to set the target sample size accurately at the design stage. Comparing two normal populations, the sample size calculation requires specification of the variance other than…

统计方法学 · 统计学 2026-02-04 Hirotada Maeda , Satoshi Hattori , Tim Friede

Cross-level interactions among fixed effects in linear mixed models (also known as multilevel models) are often complicated by the variances stemming from random effects and residuals. When these variances change across clusters, tests of…

统计方法学 · 统计学 2022-03-18 Ting Wang , Edgar C. Merkle , Joaquin A. Anguera , Brandon M. Turner

We propose a two-sample test for high-dimensional means that requires neither distributional nor correlational assumptions, besides some weak conditions on the moments and tail properties of the elements in the random vectors. This…

统计方法学 · 统计学 2019-04-17 Kaijie Xue , Fang Yao

The log-normal distribution is one of the most common distributions used for modeling skewed and positive data. It frequently arises in many disciplines of science, specially in the biological and medical sciences. The statistical analysis…

统计方法学 · 统计学 2020-01-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

This paper is an extension of the work about the exponential increase of the power of two non-parametric tests: the $ Z $-test and the chi-square goodness-of-fit test. Subject to having auxiliary information, it is possible to improve…

统计理论 · 数学 2021-09-03 Mickael Albertus

We propose the density ratio permutation test, a hypothesis test that assesses whether the ratio between two densities is proportional to a known function based on independent samples from each distribution. The test uses an efficient…

统计方法学 · 统计学 2026-01-14 Alberto Bordino , Thomas B. Berrett

Statistical significance testing is widely accepted as a means to assess how well a difference in effectiveness reflects an actual difference between systems, as opposed to random noise because of the selection of topics. According to…

信息检索 · 计算机科学 2019-06-07 Julián Urbano , Harlley Lima , Alan Hanjalic

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

统计理论 · 数学 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun

This article presents a homogeneity test for testing the equality of several high-dimensional covariance matrices for stationary processes with ignoring the assumption of normality. We give the asymptotic distribution of the proposed test.…

统计理论 · 数学 2020-08-24 Abdullah Qayed , Dong Han

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

统计理论 · 数学 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler