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This paper examines the sociodemographic and socioeconomic determinants of regional commuter mobility in the Greater Stockholm Area using a heteroscedastic spatial Durbin panel data model estimated via Bayesian Markov Chain Monte Carlo…

计量经济学 · 经济学 2026-05-25 Marina Toger , Umut Türk , John Östh , Manfred M. Fischer

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction-diffusion processes are widely used to model such behaviour in disciplines ranging from biology to…

统计力学 · 物理学 2016-08-23 David Schnoerr , Ramon Grima , Guido Sanguinetti

This paper develops methodology for local sensitivity analysis based on directional derivatives associated with spatial processes. Formal gradient analysis for spatial processes was elaborated in previous papers, focusing on distribution…

统计理论 · 数学 2015-03-31 Maria A. Terres , Alan E. Gelfand

Conventional road safety management is inherently reactive, relying on analysis of sparse and lagged historical crash data to identify hazardous locations, or crash blackspots. The proliferation of vehicle telematics presents an opportunity…

系统与控制 · 电气工程与系统科学 2025-08-11 Artur Grigorev , David Lillo-Trynes , Adriana-Simona Mihaita

Future wireless networks are expected to be a convergence of many diverse network technologies and architectures, such as cellular networks, wireless local area networks, sensor networks, and device to device communications. Through…

信息论 · 计算机科学 2015-07-03 Young Jin Chun , Simon L. Cotton , Mazen O. Hasna , Ali Ghrayeb

This paper investigates the problem of informative path planning for a mobile robotic sensor network in spatially temporally distributed mapping. The robots are able to gather noisy measurements from an area of interest during their…

机器人学 · 计算机科学 2024-03-26 Binh Nguyen , Linh Nguyen , Truong X. Nghiem , Hung La , Jose Baca , Pablo Rangel , Miguel Cid Montoya , Thang Nguyen

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the…

统计力学 · 物理学 2026-03-18 Alexander Leibenzon , Samuel W. S. Johnson , Ruth E. Baker , Michael Assaf

This review article focuses on regularised estimation procedures applicable to geostatistical and spatial econometric models. These methods are particularly relevant in the case of big geospatial data for dimensionality reduction or model…

统计方法学 · 统计学 2026-04-30 Philipp Otto , Alessandro Fassò , Paolo Maranzano

This paper introduces a practical sampling method for training surrogate models in the context of uncertainty propagation. We propose a heuristic method to uniformly draw samples within highest density regions of the density given by the…

统计方法学 · 统计学 2025-09-15 Jocelyn Minini , Micha Wasem

When modeling geostatistical or areal data, spatial structure is commonly accommodated via a covariance function for the former and a neighborhood structure for the latter. In both cases the resulting spatial structure is a consequence of…

统计方法学 · 统计学 2015-04-20 Garritt L. Page , Fernando A. Quintana

In this paper we focus on spatial Markov population models, describing the stochastic evolution of populations of agents, explicitly modelling their spatial distribution, representing space as a discrete, finite graph. More specifically, we…

多智能体系统 · 计算机科学 2016-10-27 Luca Bortolussi , Cheng Feng

Stochastic computational models in the form of pure jump processes occur frequently in the description of chemical reactive processes, of ion channel dynamics, and of the spread of infections in populations. For spatially extended models,…

数值分析 · 数学 2018-02-23 Augustin Chevallier , Stefan Engblom

This paper presents a kriging method for spatial prediction of temporal intensity functions, for situations where a temporal point process is observed at different spatial locations. Assuming that several replications of the processes are…

统计方法学 · 统计学 2021-07-02 Daniel Gervini

The spatial scan statistic is widely used to detect disease clusters in epidemiological surveillance. Since the seminal work by~\cite{kulldorff1997}, numerous extensions have emerged, including methods for defining scan regions, detecting…

统计方法学 · 统计学 2025-02-11 Takayuki Kawashima , Daisuke Yoneoka , Yuta Tanoue , Akifumi Eguchi , Shuhei Nomura

This paper has two main goals: (a) establish several statistical properties---consistency, asymptotic distributions, and convergence rates---of stationary solutions and values of a class of coupled nonconvex and nonsmoothempirical risk…

统计理论 · 数学 2019-10-08 Zhengling Qi , Ying Cui , Yufeng Liu , Jong-Shi Pang

Area-level models for small area estimation typically rely on areal random effects to shrink design-based direct estimates towards a model-based predictor. Incorporating the spatial dependence of the random effects into these models can…

统计方法学 · 统计学 2024-04-22 Sho Kawano , Paul A. Parker , Zehang Richard Li

Informative sampling designs can impact spatial prediction, or kriging, in two important ways. First, the sampling design can bias spatial covariance parameter estimation, which in turn can bias spatial kriging estimates. Second, even with…

统计方法学 · 统计学 2021-08-30 Erin M. Schliep , Christopher K. Wikle , Ranadeep Daw

We propose a novel sparse spatiotemporal dynamic generalized linear model for efficient inference and prediction of bicycle count data. Assuming Poisson distributed counts with spacetime-varying rates, we model the log-rate using…

This work develops a multivariate extension of the Fixed Rank Kriging (FRK) framework for spatial prediction in settings where multiple spatial processes may provide complementary information. The goal is to preserve the computational…

统计方法学 · 统计学 2026-03-24 Gaia Caringi , Piercesare Secchi