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This paper outlines a methodology for semi-parametric spatio-temporal modelling of data which is dense in time but sparse in space, obtained from a split panel design, the most feasible approach to covering space and time with limited…

We develop a method for probabilistic prediction of extreme value hot-spots in a spatio-temporal framework, tailored to big datasets containing important gaps. In this setting, direct calculation of summaries from data, such as the minimum…

统计方法学 · 统计学 2020-04-02 Daniela Castro-Camilo , Linda Mhalla , Thomas Opitz

Prediction modelling of claim frequency is an important task for pricing and risk management in non-life insurance and needed to be updated frequently with the changes in the insured population, regulatory legislation and technology.…

应用统计 · 统计学 2023-01-10 Jiakun Jiang , Zhengxiao Li , Liang Yang

The COVID-19 pandemic provided many modeling challenges to investigate the evolution of an epidemic process over areal units. A suitable encompassing model must describe the spatio-temporal variations of the disease infection rate of…

统计方法学 · 统计学 2023-11-20 Pierfrancesco Alaimo Di Loro , Dankmar Boehning , Sujit Sahu

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

We introduce a nonparametric model for inferring time-evolving, unobserved probability distributions from discrete-time data consisting of unlabelled partitions. The latent process is a two-parameter Poisson-Dirichlet diffusion, and…

统计方法学 · 统计学 2026-05-19 Marco Dalla Pria , Matteo Ruggiero , Dario Spanò

This article introduces a dynamic spatiotemporal stochastic volatility (SV) model with explicit terms for the spatial, temporal, and spatiotemporal spillover effects. Moreover, the model includes time-invariant site-specific constant…

统计方法学 · 统计学 2023-11-10 Philipp Otto , Osman Doğan , Süleyman Taşpınar

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

This paper proposes multi-target filtering algorithms in which target dynamics are given in continuous time and measurements are obtained at discrete time instants. In particular, targets appear according to a Poisson point process (PPP) in…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Ángel F. García-Fernández , Simo Särkkä

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

Fitting statistical models to spatiotemporal data requires finding the right balance between imposing smoothness and following the data. In the context of p-splines, we propose a Bayesian framework for choosing the smoothing parameter which…

应用统计 · 统计学 2013-10-30 A. W. Bowman , L. Evers , D. Molinari , W. R. Jones , M. J. Spence

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

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

统计方法学 · 统计学 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee

Monitoring plant and animal populations is an important goal for both academic research and management of natural resources. Successful management of populations often depends on obtaining estimates of their mean or total over a region. The…

统计方法学 · 统计学 2014-10-14 Jay M. Ver Hoef , John K. Jansen

Precipitation is a complex physical process that varies in space and time. Predictions and interpolations at unobserved times and/or locations help to solve important problems in many areas. In this paper, we present a hierarchical Bayesian…

应用统计 · 统计学 2013-01-17 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

统计方法学 · 统计学 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

Motivated by the challenge of analyzing the dynamics of weekly sea border crossings in the Mediterranean (2015-2025) and the English Channel (2018-2025), we develop a Bayesian dynamic framework for modeling heteroskedastic count time…

应用统计 · 统计学 2026-03-23 Gregor Zens , Jakub Bijak

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

统计理论 · 数学 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

Arctic sea ice extent has drawn increasing interest and alarm from geoscientists, owing to its rapid decline. In this article, we propose a Bayesian spatio-temporal hierarchical statistical model for binary Arctic sea ice data over two…

应用统计 · 统计学 2020-03-17 Bohai Zhang , Noel Cressie

Cloud-to-ground lightning strikes observed in a specific geographical domain over time can be naturally modeled by a spatio-temporal point process. Our focus lies in the parametric estimation of its intensity function, incorporating both…