Tobler's law in a multivariate world

L Anselin, X Li - Geographical Analysis, 2020 - Wiley Online Library
Tobler's first law of geography is widely recognized as reflecting broad empirical realities in
geography. Its key concepts of “near” and “related” are intuitive in a univariate setting …

Comparison of Moran's I and Geary's c in Multivariate Spatial Pattern Analysis

J Lin - Geographical Analysis, 2023 - Wiley Online Library
This article compares multivariate spatial analysis methods that include not only multivariate
covariance, but also spatial dependence of the data explicitly and simultaneously in model …

[PDF][PDF] Exploratory statistical analysis of spatial structures in urban datasets

R Westerholt - Metropolitan research: Methods and approaches, 2022 - library.oapen.org
Metropolitan phenomena are often characterised by spatial structuring and arrangement.
The term 'urban', understood as a “fabric in which […] sociocultural and politicaleconomic …

Partial and semi‐partial statistics of spatial associations for multivariate areal data

M Eckardt, J Mateu - Geographical Analysis, 2021 - Wiley Online Library
The analysis of correlation structures among multivariate spatially aggregated data has
become increasingly important and poses substantial challenges. This article concerns the …

Measuring and Testing Multivariate Spatial Autocorrelation in a Weighted Setting: A Kernel Approach

F Bavaud - Geographical Analysis, 2024 - Wiley Online Library
We propose and illustrate a general framework in which spatial autocorrelation is measured
by the Frobenius product of two kernels, a feature kernel and a spatial kernel. The resulting …

Exploring nonstationarity in spatial association

J Lin, S Zhang, D Hanink, R Cromley - The Professional …, 2022 - Taylor & Francis
This article expands the application of geographical weighting schemes to include indicators
of spatial association. Because global measures of spatial association are already spatial …

Modelling Spatial Dependence Using Extensions of the Poisson Distribution

CAH Cowley - 2021 - search.proquest.com
When modelling univariate count data, the Poisson distribution is a popular choice that is
routinely studied by academics and applied by practitioners. It does not, however, allow for …

Contributions to spatial data analysis and Stein's method

M Ernst - 2019 - orbi.uliege.be
The thesis consists of two parts. The first part is rooted in robust statistics, and more precisely
in local outlier detection in spatial multivariate data, and the robustness of tests concerning …