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Concurrent multiscale methods play an important role in modeling and simulating materials with defects, aiming to achieve the balance between accuracy and efficiency. Atomistic-to-continuum (a/c) coupling methods, a typical class of…

数值分析 · 数学 2025-02-27 Junfeng Lu , Hao Wang , Yangshuai Wang

Cluster-randomized trials (CRTs) are widely used to evaluate group-level interventions and increasingly collect multiple outcomes capturing complementary dimensions of benefit and risk. Investigators often seek a single global summary of…

统计方法学 · 统计学 2026-01-22 Xinyuan Chen , Fan Li

Randomized controlled trials (RCTs) often include subgroup analyses to assess whether treatment effects vary across pre-specified patient populations. However, these analyses frequently suffer from small sample sizes which limit the power…

Background: The standard regulatory approach to assess replication success is the two-trials rule, requiring both the original and the replication study to be significant with effect estimates in the same direction. The sceptical p-value…

统计方法学 · 统计学 2025-05-01 Jeanette Köppe , Charlotte Micheloud , Stella Erdmann , Rachel Heyard , Leonhard Held

Most comparisons of treatments or doses against a control are performed by the original Dunnett single step procedure \cite{Dunnett1955} providing both adjusted p-values and simultaneous confidence intervals for differences to the control.…

统计方法学 · 统计学 2023-03-17 Ludwig A. Hothorn , Mario Hasler

In survival studies, classical inferences for left-truncated data require quasi-independence, a property that the joint density of truncation time and failure time is factorizable into their marginal densities in the observable region. The…

统计方法学 · 统计学 2019-04-16 Young-Geun Choi , Wei-Yann Tsai , Myunghee Cho Paik

We introduce a new test for conditional independence which is based on what we call the weighted generalised covariance measure (WGCM). It is an extension of the recently introduced generalised covariance measure (GCM). To test the null…

统计方法学 · 统计学 2022-05-17 Cyrill Scheidegger , Julia Hörrmann , Peter Bühlmann

Pairwise likelihood is a useful approximation to the full likelihood function for covariance estimation in high-dimensional context. It simplifies high-dimensional dependencies by combining marginal bivariate likelihood objects, thus making…

统计方法学 · 统计学 2024-07-25 Alessandro Casa , Davide Ferrari , Zhendong Huang

Automatic passenger counting (APC) in public transport has been introduced in the 1970s and has been rapidly emerging in recent years. APC systems, like all other measurement devices, are susceptible to error, which is treated as random…

应用统计 · 统计学 2023-11-10 David Ellenberger , Michael Siebert

Canonical Correlation Analysis (CCA) is a multivariate technique that takes two datasets and forms the most highly correlated possible pairs of linear combinations between them. Each subsequent pair of linear combinations is orthogonal to…

统计方法学 · 统计学 2015-12-22 Jacob Coleman , Joseph Replogle , Gabriel Chandler , Johanna Hardin

When averages of different experimental determinations of the same quantity are computed, each with statistical and systematic error components, then frequently the statistical and systematic components of the combined error are quoted…

数据分析、统计与概率 · 物理学 2015-10-28 Jens Erler

Balanced truncation is a well-established model order reduction method which has been applied to a variety of problems. Recently, a connection between linear Gaussian Bayesian inference problems and the system-theoretic concept of balanced…

数值分析 · 数学 2024-01-04 Josie König , Melina A. Freitag

We propose a method to efficiently integrate truncated probability densities. The method uses Markov chain Monte Carlo method to sample from a probability density matching the function being integrated. The required normalisation or…

统计计算 · 统计学 2013-12-10 A. John Arul , Kannan Iyer

Truncated sum rules have been used to calculate the fundamental limits of the nonlinear susceptibilities; and, the results have been consistent with all measured molecules. However, given that finite-state models result in inconsistencies…

光学 · 物理学 2016-09-08 Mark G. Kuzyk

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

统计方法学 · 统计学 2014-05-13 Yi-Hui Zhou , Fred Wright

We formulate a patch test consistent atomistic-to-continuum coupling (a/c) scheme that employs a second-order (potentially higher-order) finite element method in the material bulk. We prove a sharp error estimate in the energy-norm, which…

数值分析 · 数学 2016-07-21 A. S. Dedner , C. Ortner , H. Wu

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

统计方法学 · 统计学 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

The practice of pooling several individual test statistics to form aggregate tests is common in many statistical application where individual tests may be underpowered. While selection by aggregate tests can serve to increase power, the…

统计方法学 · 统计学 2020-12-08 Ruth Heller , Amit Meir , Nilanjan Chatterjee

Genome-wide association analysis has generated much discussion about how to preserve power to detect signals despite the detrimental effect of multiple testing on power. We develop a weighted multiple testing procedure that facilitates the…

统计理论 · 数学 2007-06-13 Kathryn Roeder , Bernie Devlin , Larry Wasserman

We characterize the fundamental limits of high-dimensional mean testing under arbitrary truncation, where samples are drawn from the conditional distribution $P(\cdot \mid S)$ for an unknown truncation set $S$ that may hide up to an…

机器学习 · 统计学 2026-05-05 Yuhao Wang , Roberto Imbuzeiro Oliveira , Themis Gouleakis