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The application of state-of-the-art spatial econometric models requires that the information about the spatial coordinates of statistical units is completely accurate, which is usually the case in the context of areal data. With…

统计方法学 · 统计学 2019-09-06 Giuseppe Arbia , Maria Michela Dickson , Giuseppe Espa , Diego Giuliani , Flavio Santi

We introduce a Bayesian approach for analyzing high-dimensional multinomial data that are referenced over space and time. In particular, the proportions associated with multinomial data are assumed to have a logit link to a latent…

统计方法学 · 统计学 2018-12-11 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

Due to the surge of spatio-temporal data volume, the popularity of location-based services and applications, and the importance of extracted knowledge from spatio-temporal data to solve a wide range of real-world problems, a plethora of…

机器学习 · 计算机科学 2021-03-19 Md Mahbub Alam , Luis Torgo , Albert Bifet

Spatial process models are widely used for modeling point-referenced variables arising from diverse scientific domains. Analyzing the resulting random surface provides deeper insights into the nature of latent dependence within the studied…

统计方法学 · 统计学 2023-02-15 Aritra Halder , Sudipto Banerjee , Dipak K. Dey

In this paper we consider some of the issues of working with big data and big spatial data and highlight the need for an open and critical framework. We focus on a set of challenges underlying the collection and analysis of big data. In…

计算机与社会 · 计算机科学 2020-08-12 Chris Brunsdon , Alexis Comber

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

信号处理 · 电气工程与系统科学 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

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…

It is increasingly understood that the assumption of stationarity is unrealistic for many spatial processes. In this article, we combine dimension expansion with a spectral method to model big non-stationary spatial fields in a…

统计方法学 · 统计学 2020-01-20 Hou-Cheng Yang , Jonathan R. Bradley

Spatio-temporal areal data can be seen as a collection of time series which are spatially correlated, according to a specific neighbouring structure. Motivated by a dataset on mobile phone usage in the Metropolitan area of Milan, Italy, we…

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

Data fusion models are widely used in air quality monitoring to integrate in situ and large-scale gridded products, offering spatially complete and temporally detailed estimates. However, traditional Gaussian-based models often…

应用统计 · 统计学 2026-05-18 M. Daniela Cuba , Craig Wilkie , Marian Scott , Daniela Castro-Camilo

Recent developments in engineering techniques for spatial data collection such as geographic information systems have resulted in an increasing need for methods to analyze large spatial data sets. These sorts of data sets can be found in…

统计方法学 · 统计学 2020-08-14 Toshihiro Hirano

We introduce a Bayesian approach for multivariate spatio-temporal prediction for high-dimensional count-valued data. Our primary interest is when there are possibly millions of data points referenced over different variables, geographic…

统计方法学 · 统计学 2015-12-24 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

Spatial small area estimation models have become very popular in some contexts, such as disease mapping. Data in disease mapping studies are exhaustive, that is, the available data are supposed to be a complete register of all the…

Spatial maps of extreme precipitation are crucial in flood protection. With the aim of producing maps of precipitation return levels, we propose a novel approach to model a collection of spatially distributed time series where the…

统计方法学 · 统计学 2023-04-27 Federica Stolf , Antonio Canale

We introduce a framework for updating large scale geospatial processes using a model-data synthesis method based on Bayesian hierarchical modelling. Two major challenges come from updating large-scale Gaussian process and modelling…

应用统计 · 统计学 2018-05-01 Zhe Sha , Jonathan Rougier , Maike Schumacher , Jonathan Bamber

In employing spatial regression models for counts, we usually meet two issues. First, ignoring the inherent collinearity between covariates and the spatial effect would lead to causal inferences. Second, real count data usually reveal over…

统计方法学 · 统计学 2021-05-21 Mahsa Nadifar , Hossein Baghishani , Afshin Fallah

Temporal data, notably time series and spatio-temporal data, are prevalent in real-world applications. They capture dynamic system measurements and are produced in vast quantities by both physical and virtual sensors. Analyzing these data…

Complex chaotic dynamics, seen in natural and industrial systems like turbulent flows and weather patterns, often span vast spatial domains with interactions across scales. Accurately capturing these features requires a high-dimensional…

混沌动力学 · 物理学 2024-10-03 C. Ricardo Constante-Amores , Alec J. Linot , Michael D. Graham

Very large spatio-temporal lattice data are becoming increasingly common across a variety of disciplines. However, estimating interdependence across space and time in large areal datasets remains challenging, as existing approaches are…

统计计算 · 统计学 2018-07-20 Philipp Hunziker , Julian Wucherpfennig , Aya Kachi , Nils-Christian Bormann