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A popular approach for testing if two univariate random variables are statistically independent consists of partitioning the sample space into bins, and evaluating a test statistic on the binned data. The partition size matters, and the…

统计方法学 · 统计学 2016-04-28 Ruth Heller , Yair Heller , Shachar Kaufman , Barak Brill , Malka Gorfine

We consider the problem of detecting the presence of a spatially correlated multichannel signal corrupted by additive Gaussian noise (i.i.d across sensors). No prior knowledge is assumed about the system parameters such as the noise…

信息论 · 计算机科学 2013-04-19 Vidyadhar Upadhya , Devendra Jalihal

In this review, we present an overview of the main aspects related to the statistical evaluation of medical tests for diagnosis and prognosis. Measures of diagnostic performance for binary tests, such as sensitivity, specificity, and…

统计方法学 · 统计学 2020-07-16 Vanda Inacio , Maria Xose Rodriguez-Alvarez , Pilar Gayoso-Diz

Gathering observational data for medical decision-making often involves uncertainties arising from both type I (false positive)and type II (false negative) errors. In this work, we develop a statistical model to study how medical…

应用统计 · 统计学 2025-10-21 Lucas Böttcher , Maria R. D'Orsogna , Tom Chou

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

统计理论 · 数学 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

We propose tests for the convexity/linearity/concavity of a transformation of the dependent variable in a semiparametric transformation model. These tests can be used to verify monotonicity of the treatment effect, or, equivalently,…

计量经济学 · 经济学 2025-12-16 Arkadiusz Szydłowski

This study presents a new procedure for necessary tests of multivariate normality based on the uniform distribution on the Stiefel manifold. We demonstrate that the test statistic, which is formed by the product of the scaled residual…

统计理论 · 数学 2026-03-16 Koki Shimizu , Toshiya Iwashita

This paper provides a general framework for testing instrument validity in heterogeneous causal effect models. The generalization includes the cases where the treatment can be multivalued ordered or unordered. Based on a series of testable…

计量经济学 · 经济学 2023-10-11 Zhenting Sun

In some applications, an experimental unit is composed of two distinct but related subunits. The response from such a unit is $(X_{1}, X_{2})$ but we observe only $Y_1 = \min\{X_{1},X_{2}\}$ and $Y_2 = \max\{X_{1},X_{2}\}$, i.e., the…

统计理论 · 数学 2019-05-07 Jiahua Chen , Pengfei Li , Jing Qin , Tao Yu

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

In this paper, we consider procedures for testing hypotheses on the dimension of the linear span generated by a growing number of $p\times p$ covariance matrices from independent $q$ populations. Under a proper limiting scheme where all the…

统计理论 · 数学 2026-02-16 Tianxing Mei , Chen Wang , Jianfeng Yao

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More specifically, we study inference about the average effect of one or more treatments relative to…

计量经济学 · 经济学 2019-01-21 Federico A. Bugni , Ivan A. Canay , Azeem M. Shaikh

In this paper, we propose a new test for testing the equality of two population covariance matrices in the ultra-high dimensional setting that the dimension is much larger than the sizes of both of the two samples. Our proposed methodology…

统计方法学 · 统计学 2023-12-19 Xiucai Ding , Yichen Hu , Zhenggang Wang

Data on a continuous variable are often summarized by means of histograms or displayed in tabular format: the range of data is partitioned into consecutive interval classes and the number of observations falling within each class is…

统计方法学 · 统计学 2023-01-05 Philippe Lambert

We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

统计理论 · 数学 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

We consider the conditional randomization test as a way to account for covariate imbalance in randomized experiments. The test accounts for covariate imbalance by comparing the observed test statistic to the null distribution of the test…

In statistical modeling of computer experiments sometimes prior information is available about the underlying function. For example, the physical system simulated by the computer code may be known to be monotone with respect to some or all…

统计方法学 · 统计学 2014-06-17 Shirin Golchi , Derek R. Bingham , Hugh Chipman , David A. Campbell

The bivariate Poisson distribution is commonly used to model bivariate count data. In this paper we study a goodness-of-fit test for this distribution. We also provide a review of the existing tests for the bivariate Poisson distribution,…

统计理论 · 数学 2019-02-26 Francisco Novoa-Muñoz

This paper tackles the problem of detecting abrupt changes in the mean of a heteroscedastic signal by model selection, without knowledge on the variations of the noise. A new family of change-point detection procedures is proposed, showing…

统计方法学 · 统计学 2011-02-01 Sylvain Arlot , Alain Celisse

We study a novel class of affine invariant and consistent tests for normality in any dimension. The tests are based on a characterization of the standard $d$-variate normal distribution as the unique solution of an initial value problem of…

统计方法学 · 统计学 2019-09-30 Philip Dörr , Bruno Ebner , Norbert Henze