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Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

统计方法学 · 统计学 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park

A new procedure for simultaneously finding the optimal cluster structure of multivariate functional objects and finding the subspace to represent the cluster structure is presented. The method is based on the $k$-means criterion for…

统计方法学 · 统计学 2014-02-11 Michio Yamamoto , Yoshikazu Terada

Detecting weak clustered signal in spatial data is important but challenging in applications such as medical image and epidemiology. A more efficient detection algorithm can provide more precise early warning, and effectively reduce the…

统计方法学 · 统计学 2019-04-09 Xin Zhang , Zhengyuan Zhu

Real-time monitoring in modern medical research introduces functional longitudinal data, characterized by continuous-time measurements of outcomes, treatments, and confounders. This complexity leads to uncountably infinite…

统计方法学 · 统计学 2025-08-15 Andrew Ying

Recent results in coupled or temporal graphical models offer schemes for estimating the relationship structure between features when the data come from related (but distinct) longitudinal sources. A novel application of these ideas is for…

机器学习 · 统计学 2017-11-22 Ronak Mehta , Hyunwoo J. Kim , Shulei Wang , Sterling C. Johnson , Ming Yuan , Vikas Singh

We propose a statistical method for clustering of multivariate longitudinal data into homogeneous groups. This method relies on a time-varying extension on the classical K-means algorithm, where a multivariate vector autoregressive model is…

统计方法学 · 统计学 2014-04-25 Antonello Maruotti , Maurizio Vichi

Several factors make clustering of functional data challenging, including the infinite-dimensional space to which observations belong and the lack of a defined probability density function for the functional random variable. To overcome…

统计方法学 · 统计学 2025-02-03 Andi Mai , Lan Xue , Roger Zoh , Carmen Tekwe

Mapping of spatial hotspots, i.e., regions with significantly higher rates of generating cases of certain events (e.g., disease or crime cases), is an important task in diverse societal domains, including public health, public safety,…

机器学习 · 统计学 2021-10-12 Yiqun Xie , Shashi Shekhar , Yan Li

A spatial curve dynamical model framework is adopted for functional prediction of counts in a spatiotemporal log-Gaussian Cox process model. Our spatial functional estimation approach handles both wavelet-based heterogeneity analysis in…

统计方法学 · 统计学 2020-10-09 Torres-Signes , M. P. Frías , J. Mateu , M. D. Ruiz-Medina

In the last two decades, considerable research has been devoted to a phenomenon known as spatial confounding. Spatial confounding is thought to occur when there is multicollinearity between a covariate and the random effect in a spatial…

统计方法学 · 统计学 2024-06-25 Kori Khan , Candace Berrett

Factor analysis has been extensively used to reveal the dependence structures among multivariate variables, offering valuable insight in various fields. However, it cannot incorporate the spatial heterogeneity that is typically present in…

统计方法学 · 统计学 2024-11-14 Yanxiu Jin , Tomoya Wakayama , Renhe Jiang , Shonosuke Sugasawa

In epidemiological and clinical studies, identifying patients' phenotypes based on longitudinal profiles is critical to understanding the disease's developmental patterns. The current study was motivated by data from a Canadian birth cohort…

统计方法学 · 统计学 2023-03-22 Zhiwen Tan , Chang Shen , Padmaja Subbarao , Wendy Lou , Zihang Lu

Non-gaussian spatial data are very common in many disciplines. For instance, count data are common in disease mapping, and binary data are common in ecology. When fitting spatial regressions for such data, one needs to account for…

统计方法学 · 统计学 2010-12-01 John Hughes , Murali Haran

Epidemiological investigations of regionally aggregated spatial data often involve detecting spatial health disparities among neighboring regions on a map of disease mortality or incidence rates. Analyzing such data introduces spatial…

统计方法学 · 统计学 2025-11-21 Kyle Lin Wu , Sudipto Banerjee

This study investigates the spatial distribution of emergency alarm call events to identify spatial covariates associated with the events and discern hotspot regions for the events. The study is motivated by the problem of developing…

应用统计 · 统计学 2022-07-19 Fekadu L. Bayisa , Markus Ådahl , Patrik Rydén , Ottmar Cronie

In this article, we propose a penalized clustering method for large scale data with multiple covariates through a functional data approach. In the proposed method, responses and covariates are linked together through nonparametric…

统计方法学 · 统计学 2008-01-17 Ping Ma , Wenxuan Zhong

In statistics, forecast uncertainty is often quantified using a specified statistical model, though such approaches may be vulnerable to model misspecification, selection bias, and limited finite-sample validity. While bootstrapping can…

统计方法学 · 统计学 2026-03-12 Han Lin Shang

This paper introduces area-level Poisson mixed models with temporal and SAR(1) spatially correlated random effects. Small area predictors of the proportions and counts of a dichotomic variable are derived from the new models and the…

统计方法学 · 统计学 2020-12-02 M. Boubeta , M. J. Lombardía , F. Marey-Pérez , D. Morales

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

统计方法学 · 统计学 2010-11-05 Christopher J. Paciorek

Spatial confounding poses a significant challenge in scientific studies involving spatial data, where unobserved spatial variables can influence both treatment and outcome, possibly leading to spurious associations. To address this problem,…