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The factor modeling for high-dimensional time series is powerful in discovering latent common components for dimension reduction and information extraction. Most available estimation methods can be divided into two categories: the…

统计方法学 · 统计学 2026-05-26 Xinghao Qiao , Zihan Wang , Qiwei Yao , Bo Zhang

Statistical analysis on compositional data has gained a lot of attention due to their great potential of applications. A feature of these data is that they are multivariate vectors that lie in the simplex, that is, the components of each…

Models for areal data are traditionally defined using the neighborhood structure of the regions on which data are observed. The unweighted adjacency matrix of a graph is commonly used to characterize the relationships between locations,…

统计方法学 · 统计学 2025-07-30 Michael F. Christensen , Jo Eidsvik

Model selection for regression problems with an increasing number of covariates continues to be an important problem both theoretically and in applications. Model selection consistency and mean structure reconstruction depend on the…

统计理论 · 数学 2019-05-16 Zikun Yang , Andrew Womack

When the study variable is functional and storage capacities are limited or transmission costs are high, selecting with survey sampling techniques a small fraction of the observations is an interesting alternative to signal compression…

统计理论 · 数学 2013-02-15 Hervé Cardot , Camelia Goga , Pauline Lardin

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

统计方法学 · 统计学 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

Most existing methods for testing equality of means of functional data from multiple populations rely on assumptions of equal covariance and/or Gaussianity. In this work we provide a new testing method based on a statistic that is…

统计方法学 · 统计学 2025-09-30 Chuang Xu , Andrew T. A. Wood , Yanrong Yang

The prevalence of spatially referenced multivariate data has impelled researchers to develop a procedure for the joint modeling of multiple spatial processes. This ordinarily involves modeling marginal and cross-process dependence for any…

统计方法学 · 统计学 2020-07-10 Ghulam A. Qadir , Ying Sun

Instrumental variables analysis using genetic markers as instruments is now a widely used technique in epidemiology and biostatistics. As single markers tend to explain only a small proportion of phenotypic variation, there is increasing…

统计方法学 · 统计学 2015-04-09 Paul S. Clarke , Tom M. Palmer , Frank Windmeijer

Paradoxically, while the assumptions of second-order stationarity and isotropy appear outdated in light of modern spatial data, they remain remarkably robust in practice, as nonstationary methods often provide marginal improvements in…

统计方法学 · 统计学 2025-11-07 Federico Blasi , Reinhard Furrer

Motivated by distinct walking patterns in real-world free-living gait data, this paper proposes an innovative curve-based sampling scheme for the analysis of functional data characterized by a mixture of covariance structures. Traditional…

统计方法学 · 统计学 2025-04-10 Yian Yu , Bo Wang , Jian Qing Shi

Motivated by regression analysis for microbiome compositional data, this paper considers generalized linear regression analysis with compositional covariates, where a group of linear constraints on regression coefficients are imposed to…

统计方法学 · 统计学 2018-01-11 Jiarui Lu , Pixu Shi , Hongzhe Li

Covariance regression analysis is an approach to linking the covariance of responses to a set of explanatory variables $X$, where $X$ can be a vector, matrix, or tensor. Most of the literature on this topic focuses on the "Fixed-$X$"…

统计理论 · 数学 2025-01-08 Tao Zou , Wei Lan , Runze Li , Chih-Ling Tsai

Compositional generalization (the ability to respond correctly to novel combinations of familiar components) is thought to be a cornerstone of intelligent behavior. Compositionally structured (e.g. disentangled) representations support this…

机器学习 · 计算机科学 2025-04-09 Samuel Lippl , Kim Stachenfeld

In probabilistic modelling, joint distributions are often of more interest than their marginals, but the standard composition of stochastic channels is defined by marginalization. Last year at ACT, the notion of 'copy-composition' was…

范畴论 · 数学 2025-09-26 Toby St Clere Smithe

The autologistic model and related auto-models, commonly applied as autocovariate regression, offer distinct advantages for analysing spatially autocorrelated ecological data. However, comparative studies by Carl and K\"uhn (Ecol. Model.,…

定量方法 · 定量生物学 2015-01-28 David C. Bardos , Gurutzeta Guillera-Arroita , Brendan A. Wintle

The Matern family of covariance functions is currently the most commonly used for the analysis of geostatistical data due to its ability to describe different smoothness behaviors. Yet, in many applications the smoothness parameter is set…

应用统计 · 统计学 2022-08-30 Victor De Oliveira , Zifei Han

Functional data, with basic observational units being functions (e.g., curves, surfaces) varying over a continuum, are frequently encountered in various applications. While many statistical tools have been developed for functional data…

统计方法学 · 统计学 2016-06-10 Jingjing Yang , Hongxiao Zhu , Taeryon Choi , Dennis D. Cox

Causal inference starts with a simple idea: compare groups that differ by treatment, not much else. Traditionally, similar groups are constructed using only observed covariates; however, it remains a long-standing challenge to incorporate…

统计方法学 · 统计学 2025-11-21 Ying Jin , José Zubizarreta

Model-based geostatistical design involves the selection of locations to collect data to minimise an expected loss function over a set of all possible locations. The loss function is specified to reflect the aim of data collection, which,…

统计计算 · 统计学 2021-12-03 S. G. Jagath Senarathne , Werner G. Müller , James M. McGree