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The population-wise error rate (PWER) is a type I error rate for clinical trials with multiple target populations. In such trials, a treatment is tested for its efficacy in each population. The PWER is defined as the probability that a…

统计方法学 · 统计学 2024-12-13 Remi Luschei , Werner Brannath

We build a general framework which establishes a one-to-one correspondence between species abundance distribution (SAD) and species accumulation curve (SAC). The appearance rates of the species and the appearance times of individuals of…

应用统计 · 统计学 2022-10-25 Cheuk Ting Li , Kim-Hung Li

Population annealing is a recent addition to the arsenal of the practitioner in computer simulations in statistical physics and beyond that is found to deal well with systems with complex free-energy landscapes. Above all else, it promises…

统计力学 · 物理学 2021-05-05 Martin Weigel , Lev Yu. Barash , Lev N. Shchur , Wolfhard Janke

In many image analysis problems, the contours of objects carry important statistical information about shape. Such contours are typically affected by deformation variables including scaling, translation, rotation, and reparametrization.…

统计方法学 · 统计学 2026-05-26 Issam-Ali Moindjié , Cédric Beaulac , Marie-Hélène Descary

Principal Component Analysis (PCA) is a transform for finding the principal components (PCs) that represent features of random data. PCA also provides a reconstruction of the PCs to the original data. We consider an extension of PCA which…

统计方法学 · 统计学 2021-11-05 Pablo Soto-Quiros , Anatoli Torokhti

For the last several decades, the US Census Bureau has been using the AK composite estimation method to produce statistics on employment from the Current Population Survey (CPS) data. The CPS uses a rotating design and AK estimators are…

统计方法学 · 统计学 2020-04-23 Daniel Bonnéry , Yang Cheng , Partha Lahiri

Area Under the Curve (AUC) is arguably the most popular measure of classification accuracy. We use a semiparametric framework to introduce a latent scale-invariant $R^2$, a novel measure of variation explained for an observed binary outcome…

统计方法学 · 统计学 2019-11-01 Debangan Dey , Vadim Zipunnikov

We investigate one-dimensional elementary probabilistic cellular automata (PCA) whose dynamics in first-order mean-field approximation yields discrete logisticlike growth models for a single-species unstructured population with…

统计力学 · 物理学 2017-05-24 J. Ricardo G. Mendonça , Yeva Gevorgyan

Principal component analysis (PCA) is a popular tool for linear dimensionality reduction and feature extraction. Kernel PCA is the nonlinear form of PCA, which better exploits the complicated spatial structure of high-dimensional features.…

计算机视觉与模式识别 · 计算机科学 2014-09-02 Quan Wang

Analysis of sample survey data often requires adjustments to account for missing data in the outcome variables of principal interest. Standard adjustment methods based on item imputation or on propensity weighting factors rely heavily on…

统计方法学 · 统计学 2016-03-08 Wei-Yin Loh , John Eltinge , MoonJung Cho , Yuanzhi Li

The principal component analysis (PCA) of different parameters affecting collectivity of nuclei predicted to be candidate of the interacting boson model dynamical symmetries are performed. The results show that, the use of PCA within…

核理论 · 物理学 2015-06-24 A. Al-Sayed

The area under the curve (AUC) of the receiver operating characteristics curve (ROC) evaluates the separation between patients and nonpatients or discrimination. For risk prediction models these risk distributions can be derived from the…

定量方法 · 定量生物学 2021-02-23 Ralph H. Stern

Curve fitting is a fundamental technique in engineering and scientific research, serving as a critical tool for extracting insights from data. This study explores the application of various statistical equations to estimate outcomes in…

微分几何 · 数学 2025-02-14 Hamidreza Moradi , Hamideh Hossei , Erfan Kefayat

Principal Component Analysis (PCA) is a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Analysis of covariance is a crucial method for improving precision of statistical tests for factor effects in randomized experiments. However, existing solutions suffer from one or more of the following limitations: (i) they are not…

统计方法学 · 统计学 2024-12-24 Konstantin Emil Thiel , Paavo Sattler , Arne C Bathke , Georg Zimmermann

Principal component analysis (PCA) is one of the most commonly used statistical procedures with a wide range of applications. This paper considers both minimax and adaptive estimation of the principal subspace in the high dimensional…

统计理论 · 数学 2014-01-08 T. Tony Cai , Zongming Ma , Yihong Wu

We study the coupled dynamics of two populations of random replicators by means of statistical mechanics methods, and focus on the effects of relative population size, strategy correlations and heterogeneities in the respective co-operation…

种群与进化 · 定量生物学 2007-11-02 Tobias Galla

Principal component analysis (PCA) defines a reduced space described by PC axes for a given multidimensional-data sequence to capture the variations of the data. In practice, we need multiple data sequences that accurately obey individual…

统计方法学 · 统计学 2021-04-19 Ikuo Fukuda , Kei Moritsugu

In a spiked population model, the population covariance matrix has all its eigenvalues equal to units except for a few fixed eigenvalues (spikes). Determining the number of spikes is a fundamental problem which appears in many scientific…

统计理论 · 数学 2011-04-18 Damien Passemier , Jian-Feng Yao

Additive principal components (APCs for short) are a nonlinear generalization of linear principal components. We focus on smallest APCs to describe additive nonlinear constraints that are approximately satisfied by the data. Thus APCs fit…

统计方法学 · 统计学 2015-11-24 Xin Lu Tan , Andreas Buja , Zongming Ma