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Missing data is a common issue in many biomedical studies. Under a paired design, some subjects may have missing values in either one or both of the conditions due to loss of follow-up, insufficient biological samples, etc. Such partially…

Within the nonparametric regression model with unknown regression function $l$ and independent, symmetric errors, a new multiscale signed rank statistic is introduced and a conditional multiple test of the simple hypothesis $l=0$ against a…

Statistics Theory · Mathematics 2008-12-18 Angelika Rohde

This paper investigates a statistical procedure for testing the equality of two independent estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

Statistics Theory · Mathematics 2020-03-09 Rémy Mariétan , Stephan Morgenthaler

We propose novel methodology for testing equality of model parameters between two high-dimensional populations. The technique is very general and applicable to a wide range of models. The method is based on sample splitting: the data is…

Methodology · Statistics 2013-01-17 Nicolas Städler , Sach Mukherjee

Given samples from two non-negative random variables, we propose a family of tests for the null hypothesis that one random variable stochastically dominates the other at the second order. Test statistics are obtained as functionals of the…

Statistics Theory · Mathematics 2023-10-16 Tommaso Lando , Sirio Legramanti

Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions.…

Methodology · Statistics 2011-11-01 Mohamed Boutahar , Denys Pommeret

A rank-invariant clustering of variables is introduced that is based on the predictive strength between groups of variables, i.e., two groups are assigned a high similarity if the variables in the first group contain high predictive…

Methodology · Statistics 2023-12-29 Sebastian Fuchs , Yuping Wang

Wilcoxon Rank-based tests are distribution-free alternatives to the popular two-sample and paired t-tests. For independent data, they are available in several R packages such as stats and coin. For clustered data, in spite of the recent…

Computation · Statistics 2017-06-13 Yujing Jiang , Xin He , Mei-Ling Ting Lee , Bernard Rosner , Jun Yan

We consider the goodness of fit testing problem for linear stochastic differential equation (Ornstein-Uhlenbeck process). The basic hypothesis is supposed to be composite with two-dimensional unknown parameter. We study two goodness of fit…

Statistics Theory · Mathematics 2013-05-16 Yury A. Kutoyants

We study the asymptotic behavior of the rank statistic for unimodal sequences. We use analytic techniques involving asymptotic expansions in order to prove asymptotic formulas for the moments of the rank. Furthermore, when appropriately…

Number Theory · Mathematics 2019-10-25 Kathrin Bringmann , Chris Jennings-Shaffer , Karl Mahlburg

There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this…

Statistics Theory · Mathematics 2008-12-18 Hammou El Barmi , Subhash Kochar , Hari Mukerjee

High-dimensional mean vector testing problem for two or more groups remain a very active research area. In these setting, traditional tests are not applicable because they involve the inversion of rank deficient group covariance matrix. In…

Methodology · Statistics 2022-09-12 Roger S Zoh , Fangzheng Xie

Parametric hypothesis testing associated with two independent samples arises frequently in several applications in biology, medical sciences, epidemiology, reliability and many more. In this paper, we propose robust Wald-type tests for…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Nirian Martin , Ayanendranath Basu , Leandro Pardo

We are concerned with the detection of associations between random vectors of any dimension. Few tests of independence exist that are consistent against all dependent alternatives. We propose a powerful test that is applicable in all…

Methodology · Statistics 2013-08-08 Ruth Heller , Yair Heller , Malka Gorfine

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

Statistics Theory · Mathematics 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Networks arise naturally in many scientific fields as a representation of pairwise connections. Statistical network analysis has most often considered a single large network, but it is common in a number of applications to observe multiple…

Methodology · Statistics 2026-03-16 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

Cram\'{e}r-type large deviations for means of samples from a finite population are established under weak conditions. The results are comparable to results for the so-called self-normalized large deviation for independent random variables.…

Statistics Theory · Mathematics 2007-08-22 Zhishui Hu , John Robinson , Qiying Wang

Many statistical experiments involve comparing multiple population groups. For example, a public opinion poll may ask which of several political candidates commands the most support; a social scientific survey may report the most common of…

Methodology · Statistics 2019-03-20 Kenneth Hung , William Fithian

In this paper we propose several variants to perform the independence test between two random elements based on recurrence rates. We will show how to calculate the test statistic in each one of these cases. From simulations we obtain that…

Methodology · Statistics 2020-09-21 Juan Kalemkerian , Diego Fernández

Rank-rank regression is commonly employed in economic research as a way of capturing the relationship between two economic variables. The slope of this regression is the Spearman rank correlation, a classical measure of association.…

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