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Non-proportional hazards data are routinely encountered in randomized clinical trials. In such cases, classic Cox proportional hazards model can suffer from severe power loss, with difficulty in interpretation of the estimated hazard ratio…

统计方法学 · 统计学 2023-12-29 Hong Zhang , Qing Li , Devan V. Mehrotra , Judong Shen

To improve the efficiency of Monte Carlo estimation, practitioners are turning to biased Markov chain Monte Carlo procedures that trade off asymptotic exactness for computational speed. The reasoning is sound: a reduction in variance due to…

机器学习 · 统计学 2019-01-03 Jackson Gorham , Lester Mackey

In this paper, we propose and study a Nystr\"om based approach to efficient large scale kernel principal component analysis (PCA). The latter is a natural nonlinear extension of classical PCA based on considering a nonlinear feature map or…

机器学习 · 统计学 2019-07-12 Nicholas Sterge , Bharath Sriperumbudur , Lorenzo Rosasco , Alessandro Rudi

We consider estimation of large approximate factor models in high-dimensional panels of stationary time series using Principal Component Analysis (PCA). We review the key results establishing the necessary and sufficient conditions for…

计量经济学 · 经济学 2026-02-13 Matteo Barigozzi

Nonlinear mixed effects models represent a powerful tool to simultaneously analyze data from several individuals. In this study a compartmental model of leucine kinetics is examined and extended with a stochastic differential equation to…

定量方法 · 定量生物学 2011-01-05 Martin Berglund , Mikael Sunnåker , Martin Adiels , Mats Jirstrand , Bernt Wennberg

When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the…

计算机视觉与模式识别 · 计算机科学 2018-02-06 Ajay Gupta , Adrian Barbu

Efficacy testing is a cornerstone of clinical trials, ensuring that medical interventions achieve their intended therapeutic effects. Over the decades, a wide range of statistical methodologies have been developed to address the…

其他统计学 · 统计学 2026-04-13 Dhrubajyoti Ghosh , Samhita Pal

Testing the equality of two proportions is a common procedure in science, especially in medicine and public health. In these domains it is crucial to be able to quantify evidence for the absence of a treatment effect. Bayesian hypothesis…

The comparison of proportions is considered in the asymptotic generalized linear model with the odds ratio as effect size. When several doses are compared with a control assuming an order restriction, a Williams-type trend test can be used.…

应用统计 · 统计学 2020-11-30 Ludwig A. Hothorn

Canonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal…

统计方法学 · 统计学 2015-01-07 Ines Wilms , Christophe Croux

This article establishes a new and comprehensive estimation and inference theory for principal component analysis (PCA) under the weak factor model that allow for cross-sectional dependent idiosyncratic components under the nearly minimal…

统计方法学 · 统计学 2024-10-02 Jianqing Fan , Yuling Yan , Yuheng Zheng

Latent class analysis (LCA) is a useful tool to investigate the heterogeneity of a disease population with time-to-event data. We propose a new method based on non-parametric maximum likelihood estimator (NPMLE), which facilitates…

统计方法学 · 统计学 2022-02-03 Teng Fei , John Hanfelt , Limin Peng

Joint analysis of multiple phenotypes can increase statistical power in genetic association studies. Principal component analysis, as a popular dimension reduction method, especially when the number of phenotypes is high-dimensional, has…

应用统计 · 统计学 2018-06-18 Zhonghua Liu , Xihong Lin

Statistical models of unobserved heterogeneity are typically formalized as mixtures of simple parametric models and interest naturally focuses on testing for homogeneity versus general mixture alternatives. Many tests of this type can be…

统计方法学 · 统计学 2016-03-22 Jiaying Gu , Roger Koenker , Stanislav Volgushev

In modern data analysis, statistical efficiency improvement is expected via effective collaboration among multiple data holders with non-shared data. In this article, we propose a collaborative score-type test (CST) for testing linear…

统计方法学 · 统计学 2025-04-30 Yifan Gu , Hanfang Yang , Songshan Yang , Hui Zou

A new method, based on Bayesian analysis, is presented which unifies the inference of plasma equilibria parameters in a Tokamak with the ability to quantify differences between inferred equilibria and Grad-Shafranov force-balance solutions.…

数学物理 · 物理学 2013-04-19 G. T. von Nessi , M. J. Hole

This paper develops a test for homogeneity in finite mixture models where the mixing proportions are known a priori (taken to be 0.5) and a common nuisance parameter is present. Statistical tests based on the notion of Projected Likelihood…

统计理论 · 数学 2008-12-18 Debapriya Sengupta , Rahul Mazumder

Detection of interactions between treatment effects and patient descriptors in clinical trials is critical for optimizing the drug development process. The increasing volume of data accumulated in clinical trials provides a unique…

A smooth test to simultaneously compare $K$ copulas, where $K \geq 2$ is proposed. The $K$ observed populations can be paired, and the test statistic is constructed based on the differences between moment sequences, called copula…

统计理论 · 数学 2023-12-07 Yves Ismaël Ngounou Bakam , Denys Pommeret

Subjects in clinical studies that investigate paired body parts can carry a disease on either both sides (bilateral) or a single side (unilateral) of the organs. Data in such studies may consist of both bilateral and unilateral records.…

应用统计 · 统计学 2025-11-06 Shuyi Liang , Chang-Xing Ma