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This paper considers the problem of testing the equality of two unspecified distributions. The classical omnibus tests such as the Kolmogorov-Smirnov and Cram\`er-von Mises are known to suffer from low power against essentially all but…

统计理论 · 数学 2015-09-15 Wen-Xin Zhou , Chao Zheng , Zhen Zhang

In this paper we propose new smoothed sign and Wilcoxon's signed rank tests, which are based on a kernel estimator of the underlying distribution function of data. We discuss approximations of $p$-values and asymptotic properties of these…

统计理论 · 数学 2024-07-19 Yoshihiko Maesono , Taku Moriyama , Mengxin Lu

The increasing interest in subpopulation analysis has led to the development of various new trial designs and analysis methods in the fields of personalized medicine and targeted therapies. In this paper, subpopulations are defined in terms…

统计方法学 · 统计学 2020-12-01 Roland Gerard Gera , Tim Friede

This paper develops a new approach to post-selection inference for screening high-dimensional predictors of survival outcomes. Post-selection inference for right-censored outcome data has been investigated in the literature, but much…

统计方法学 · 统计学 2021-12-22 Tzu-Jung Huang , Alex Luedtke , Ian W. McKeague

We consider two alternative tests to the Higher Criticism test of Donoho and Jin [Ann. Statist. 32 (2004) 962-994] for high-dimensional means under the sparsity of the nonzero means for sub-Gaussian distributed data with unknown column-wise…

统计理论 · 数学 2013-12-19 Ping-Shou Zhong , Song Xi Chen , Minya Xu

In this paper we propose a nonparametric graphical test based on optimal matching, for assessing the equality of multiple unknown multivariate probability distributions. Our procedure pools the data from the different classes to create a…

Distribution-free tests such as the Wilcoxon rank sum test are popular for testing the equality of two univariate distributions. Among the important reasons for their popularity are the striking results of Hodges-Lehmann (1956) and…

统计理论 · 数学 2023-03-07 Nabarun Deb , Bhaswar B. Bhattacharya , Bodhisattva Sen

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

统计理论 · 数学 2017-07-25 Abhik Ghosh , Ayanendranath Basu

Many testing problems are readily amenable to randomised tests such as those employing data splitting. However despite their usefulness in principle, randomised tests have obvious drawbacks. Firstly, two analyses of the same dataset may…

统计方法学 · 统计学 2024-09-05 F. Richard Guo , Rajen D. Shah

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…

Although unbiasedness is a basic property of a good test, many tests on vector parameters or scalar parameters against two-sided alternatives are not finite-sample unbiased. This was already noticed by Sugiura [Ann. Inst. Statist. Math. 17…

统计理论 · 数学 2012-03-05 Jana Jurečková , Jan Kalina

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

统计理论 · 数学 2016-03-02 Lubna Amro , Markus Pauly

In this work, nonparametric log-rank-type statistical tests are introduced in order to verify homogeneity of purely discrete variables subject to arbitrary right-censoring for infinitely many categories. In particular, the Cram\'er-von…

统计理论 · 数学 2012-01-12 Dorival Leão , Alberto Ohashi

The analysis of large-scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two-group model jointly models the distribution of the test statistics with mixtures…

统计方法学 · 统计学 2023-03-10 Francesco Denti , Stefano Peluso , Michele Guindani , Antonietta Mira

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 present a robust test for change-points in time series which is based on the two-sample Hodges-Lehmann estimator. We develop new limit theory for a class of statistics based on the two-sample U-quantile processes, in the case of short…

统计理论 · 数学 2019-05-17 Herold Dehling , Roland Fried , Martin Wendler

We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributions with respect to the Wasserstein distance. This leads to a…

统计理论 · 数学 2021-06-01 Liyan Xie , Rui Gao , Yao Xie

Survival analysis is a type of semi-supervised ranking task where the target output (the survival time) is often right-censored. Utilizing this information is a challenge because it is not obvious how to correctly incorporate these censored…

机器学习 · 计算机科学 2018-06-12 Margaux Luck , Tristan Sylvain , Joseph Paul Cohen , Heloise Cardinal , Andrea Lodi , Yoshua Bengio

In clinical and epidemiological research doubly truncated data often appear. This is the case, for instance, when the data registry is formed by interval sampling. Double truncation generally induces a sampling bias on the target variable,…

统计方法学 · 统计学 2023-01-11 Jacobo de Uña-Álvarez

One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on…

统计理论 · 数学 2007-06-13 Donglin Zeng