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This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

应用统计 · 统计学 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

Air pollution remains a major environmental risk factor that is often associated with adverse health outcomes. However, quantifying and evaluating its effects on human health is challenging due to the complex nature of exposure data. Recent…

统计方法学 · 统计学 2025-06-02 Soumyakanti Pan , Sudipto Banerjee

Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

应用统计 · 统计学 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

We propose a novel approach to estimate the Cox model with temporal covariates. Our new approach treats the temporal covariates as arising from a longitudinal process which is modeled jointly with the event time. Different from the…

统计方法学 · 统计学 2018-02-05 Xiaoqi Zhang , Xiaobing Zhao , Yanqiao Zheng

Air pollution is a great concern because of its impact on human health and on the environment. Statistical models play an important role in improving knowledge of this complex spatio-temporal phenomenon and in supporting public agencies and…

应用统计 · 统计学 2015-03-17 Michela Cameletti , Rosaria Ignaccolo , Stefano Bande

The Mat\'ern covariance model is ubiquitous in spatial modelling, but there is no default choice for spatio-temporal modelling. In this paper, we consider the recently proposed ``diffusion-based'' extension of the spatial Mat\'ern…

统计方法学 · 统计学 2026-04-30 S. Knutsen Furset , Geir-Arne Fuglstad , Espen R. Jakobsen

Spatiotemporal modelling of infectious diseases such as COVID-19 involves using a variety of epidemiological metrics such as regional proportion of cases or regional positivity rates. Although observing their changes over time is critical…

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

机器学习 · 统计学 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

In this paper we explore a covariance spectral modelling strategy for spatial-temporal processes which involves a spectral approach for time but a covariance approach for space.It facilitates the analysis of coherence between the temporal…

统计方法学 · 统计学 2014-09-17 A. M. Mosammam , J. T. Kent

We introduce a scalable approach to Gaussian process inference that combines spatio-temporal filtering with natural gradient variational inference, resulting in a non-conjugate GP method for multivariate data that scales linearly with…

机器学习 · 计算机科学 2021-11-03 Oliver Hamelijnck , William J. Wilkinson , Niki A. Loppi , Arno Solin , Theodoros Damoulas

Intensive care occupancy is an important indicator of health care stress that has been used to guide policy decisions during the COVID-19 pandemic. Toward reliable decision-making as a pandemic progresses, estimating the rates at which…

统计方法学 · 统计学 2023-07-18 Achal Awasthi , Volodymyr M. Minin , Jenny Huang , Daniel Chow , Jason Xu

Fine particulate matter (PM$_{2.5}$) has become a great concern worldwide due to its adverse health effects. PM$_{2.5}$ concentrations typically exhibit complex spatio-temporal variations. Both the mean and the spatio-temporal dependence…

统计方法学 · 统计学 2022-02-25 Ghulam A. Qadir , Ying Sun

In recent years, spatial and spatio-temporal modeling have become an important area of research in many fields (epidemiology, environmental studies, disease mapping). In this work we propose different spatial models to study hospital…

应用统计 · 统计学 2010-06-21 Erik A. Sauleau , Valentina Mameli , Monica Musio

To study the impact of climate variables on morbidity of some diseases in Mexico, we propose a spatio-temporal varying coefficients regression model. For that we introduce a new spatio-temporal dependent process prior, in a Bayesian…

应用统计 · 统计学 2019-12-02 Luis E. Nieto-Barajas

The surprisingly mercurial Covid-19 pandemic has highlighted the need to not only accelerate research on infectious disease, but to also study them using novel techniques and perspectives. A major contributor to the difficulty of containing…

种群与进化 · 定量生物学 2022-07-21 Aminur Rahman , Angela Peace , Ramesh Kesawan , Souparno Ghosh

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

统计方法学 · 统计学 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

Passive acoustic mapping enables the spatial mapping and temporal monitoring of cavitation activity, playing a crucial role in therapeutic ultrasound applications. Most conventional beamforming methods, whether implemented in the time or…

信号处理 · 电气工程与系统科学 2025-11-26 Tatiana Gelvez-Barrera , Barbara Nicolas , Denis Kouamé , Bruno Gilles , Adrian Basarab

We provide a novel approach to model space-time random fields where the temporal argument is decomposed into two parts. The former captures the linear argument, which is related, for instance, to the annual evolution of the field. The…

统计理论 · 数学 2018-01-18 Alfredo Alegría , Emilio Porcu

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

统计计算 · 统计学 2020-07-01 Marius Appel , Edzer Pebesma
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