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Based on two independent samples X_1,...,X_m and X_{m+1},...,X_n drawn from multivariate distributions with unknown Lebesgue densities p and q respectively, we propose an exact multiple test in order to identify simultaneously regions of…

统计理论 · 数学 2009-08-12 Angelika Rohde

Valid statistical inference is challenging when the sample is subject to unknown selection bias. Data integration can be used to correct for selection bias when we have a parallel probability sample from the same population with some common…

统计方法学 · 统计学 2023-07-24 Zhonglei Wang , Shu Yang , Jae Kwang Kim

Sequential hypothesis tests are widely adopted as a principled way to perform multiple tests on data that arrives over time. In particular, researchers frequently utilize group sequential hypothesis tests (GST) to test the same hypotheses…

统计方法学 · 统计学 2026-05-18 Dae Woong Ham , Stefanus Jasin , Xuejun Zhao

In this paper, we propose a simple yet effective method to deal with the violation of the Closed-World Assumption for a classifier. Previous works tend to apply a threshold either on the classification scores or the loss function to reject…

计算机视觉与模式识别 · 计算机科学 2021-08-17 Saeed Bakhshi Germi , Esa Rahtu , Heikki Huttunen

Mediation analysis is a powerful tool for studying causal pathways between exposure, mediator, and outcome variables of interest. While classical mediation analysis using observational data often requires strong and sometimes unrealistic…

统计方法学 · 统计学 2024-05-20 Rita Qiuran Lyu , Chong Wu , Xinwei Ma , Jingshen Wang

We extend the work of Robinson and Turner to use hypothesis testing with persistence homology to test for measurable differences in shape between point clouds from three or more groups. Using samples of point clouds from three distinct…

This expository article gives an overview of the theory of hypothesis testing of quantum states in finite dimensional Hilbert spaces. Optimal measurement strategy for testing binary quantum hypotheses, which result in minimum error…

量子物理 · 物理学 2018-03-14 J. Prabhu Tej , Syed Raunaq Ahmed , A. R. Usha Devi , A. K. Rajagopal

A two-terminal distributed binary hypothesis testing problem over a noisy channel is studied. The two terminals, called the observer and the decision maker, each has access to $n$ independent and identically distributed samples, denoted by…

其他统计学 · 统计学 2023-02-07 Sreejith Sreekumar , Deniz Gündüz

Mediation analysis is a useful tool to evaluate surrogate endpoints in clinical trials. We propose a novel method, the M-survival learner, for estimating heterogeneous indirect treatment effects in the presence of censored outcomes. The…

统计方法学 · 统计学 2026-04-16 Xingyu Li , Qing Liu , Xun Jiang , Hong Amy Xia , Brian P. Hobbs , Peng Wei

We study the problem of distributed cooperative learning, where a group of agents seeks to agree on a set of hypotheses that best describes a sequence of private observations. In the scenario where the set of hypotheses is large, we propose…

机器学习 · 计算机科学 2021-09-22 Mohammad Taha Toghani , César A. Uribe

The focus of this study is to evaluate the effectiveness of Machine Learning (ML) methods for two-sample testing with right-censored observations. To achieve this, we develop several ML-based methods with varying architectures and implement…

机器学习 · 计算机科学 2024-09-27 Petr Philonenko , Sergey Postovalov

We consider the problem of detecting sparse heterogeneous mixtures from a nonparametric perspective, and develop distribution-free tests when all effects have the same sign. Specifically, we assume that the null distribution is symmetric…

统计理论 · 数学 2013-11-18 Ery Arias-Castro , Meng Wang

Many scientific applications involve testing theories that are only partially specified. This task often amounts to testing the goodness-of-fit of a candidate distribution while allowing for reasonable deviations from it. The tolerant…

统计理论 · 数学 2026-01-28 Lucas Kania , Tudor Manole , Larry Wasserman , Sivaraman Balakrishnan

We introduce a multiple testing procedure that controls the median of the proportion of false discoveries (FDP) in a flexible way. The procedure only requires a vector of p-values as input and is comparable to the Benjamini-Hochberg method,…

统计方法学 · 统计学 2024-03-14 Jesse Hemerik , Aldo Solari , Jelle J Goeman

PROMETHEE methods are widely used in Multiple Criteria Decision Aiding (MCDA) to deal with real decision making problems. A crucial aspect of the classical PROMETHEE methods is the choice of criteria weights. In this paper, we propose to…

最优化与控制 · 数学 2013-02-25 Salvatore Corrente , Josè Rui Figueira , Salvatore Greco

Causal mediation analysis is increasingly abundant in biology, psychology, and epidemiology studies, etc. In particular, with the advent of the big data era, the issue of high-dimensional mediators is becoming more prevalent. In…

统计方法学 · 统计学 2023-07-10 Minghao Chen , Yingchun Zhou

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

统计理论 · 数学 2020-09-09 Joseph P. Romano , Marius A. Tirlea

Meta analysis is commonly-used to synthesize multiple results from individual studies. However, its validation is usually threatened by publication bias and between-study heterogeneity, which can be captured by the Copas selection model.…

统计方法学 · 统计学 2025-07-21 Mengke Li , Yukun Liu , Pengfei Li , Jing Qin

The human microbiome can contribute to pathogeneses of many complex diseases by mediating disease-leading causal pathways. However, standard mediation analysis methods are not adequate to analyze the microbiome as a mediator due to the…

Trustworthy classifiers are essential to the adoption of machine learning predictions in many real-world settings. The predicted probability of possible outcomes can inform high-stakes decision making, particularly when assessing the…

机器学习 · 计算机科学 2023-02-22 Kiri L. Wagstaff , Thomas G. Dietterich
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