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This work is focused on constructing space-time covariance functions through a hierarchical mixture approach that can serve as building blocks for capturing complex dependency structures. This hierarchical mixture approach provides a…

统计方法学 · 统计学 2025-11-14 Pulong Ma

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

统计方法学 · 统计学 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Multivariate spatio-temporal data arise more and more frequently in a wide range of applications; however, there are relatively few general statistical methods that can readily use that incorporate spatial, temporal and variable…

统计方法学 · 统计学 2017-11-15 Elynn Yi Chen , Qiwei Yao , Rong Chen

Multivariate space-time data are increasingly available in various scientific disciplines. When analyzing these data, one of the key issues is to describe the multivariate space-time dependencies. Under the Gaussian framework, one needs to…

统计方法学 · 统计学 2016-02-10 Marc Bourotte , Denis Allard , Emilio Porcu

Circular data arise in many areas of application. Recently, there has been interest in looking at circular data collected separately over time and over space. Here, we extend some of this work to the spatio-temporal setting, introducing…

统计方法学 · 统计学 2017-04-18 Gianluca Mastrantonio , Giovanna Jona Lasinio , Alan E. Gelfand

Gaussian random fields with Mat\'ern covariance functions are popular models in spatial statistics and machine learning. In this work, we develop a spatio-temporal extension of the Gaussian Mat\'ern fields formulated as solutions to a…

统计方法学 · 统计学 2023-04-06 Finn Lindgren , Haakon Bakka , David Bolin , Elias Krainski , Håvard Rue

In this paper we propose a semiparametric spatial autoregressive model that combines a linear covariate component with a nonparametrically estimated spatial term, allowing flexible dependence modeling without restrictive covariance…

统计方法学 · 统计学 2026-04-30 Rodrigo García Arancibia , Pamela Llop , Mariel Lovatto

In this paper, we propose a Bayesian matrix-variate spatiotemporal modeling framework for jointly analyzing multiple response variables observed at spatial locations over time. The approach relaxes the standard assumption of spatial…

统计方法学 · 统计学 2026-04-23 Rodrigo de Souza Bulhões , Marina Silva Paez , Dani Gamerman

Multivariate spatial-statistical models are often used when modeling environmental and socio-demographic processes. The most commonly used models for multivariate spatial covariances assume both stationarity and symmetry for the…

统计方法学 · 统计学 2021-05-11 Quan Vu , Andrew Zammit-Mangion , Noel Cressie

Multivariate spatial phenomena are ubiquitous, spanning domains such as climate, pandemics, air quality, and social economy. Cross-correlation between different quantities of interest at different locations is asymmetric in general. This…

统计方法学 · 统计学 2026-01-27 Xiaoqing Chen

We study the problem of modeling and inference for spatio-temporal count processes. Our approach uses parsimonious parameterisations of multivariate autoregressive count time series models, including possible regression on covariates. We…

统计方法学 · 统计学 2024-11-14 Steffen Maletz , Konstantinos Fokianos , Roland Fried

In this work we present full Bayesian inference for a new flexible nonseparable class of cross-covariance functions for multivariate spatial data. A Bayesian test is proposed for separability of covariance functions which is much more…

统计方法学 · 统计学 2017-07-24 Rafael S. Erbisti , Thais C. O. Fonseca , Mariane B. Alves

The analysis of space-time data from complex, real-life phenomena requires the use of flexible and physically motivated covariance functions. In most cases, it is not possible to explicitly solve the equations of motion for the fields or…

统计方法学 · 统计学 2016-06-29 Dionissios T. Hristopulos , Ivi C. Tsantili

When analyzing the spatio-temporal dependence in most environmental and earth sciences variables such as pollutant concentrations at different levels of the atmosphere, a special property is observed: the covariances and cross-covariances…

统计方法学 · 统计学 2022-05-24 Mary Lai O. Salvaña , Amanda Lenzi , Marc G. Genton

Within the statistical literature, a significant gap exists in methods capable of modeling asymmetric multivariate spatial effects that elucidate the relationships underlying complex spatial phenomena. For such a phenomenon, observations at…

统计方法学 · 统计学 2024-04-10 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

统计方法学 · 统计学 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

There are many data sources available that report related variables of interest that are also referenced over geographic regions and time; however, there are relatively few general statistical methods that one can readily use that…

统计方法学 · 统计学 2014-09-05 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

Spatial models for areal data are often constructed such that all pairs of adjacent regions are assumed to have near-identical spatial autocorrelation. In practice, data can exhibit dependence structures more complicated than can be…

统计方法学 · 统计学 2024-07-04 Michael F. Christensen , Peter D. Hoff

The prevalence of multivariate space-time data collected from monitoring networks and satellites, or generated from numerical models, has brought much attention to multivariate spatio-temporal statistical models, where the covariance…

统计方法学 · 统计学 2023-03-14 Huang Huang , Ying Sun , Marc G. Genton

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

统计方法学 · 统计学 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein
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