A review of nonparametric hypothesis tests of isotropy properties in spatial data

ZD Weller, JA Hoeting - Statistical Science, 2016 - JSTOR
An important aspect of modeling spatially referenced data is appropriately specifying the
covariance function of the random field. A practitioner working with spatial data is presented …

Isotropy, symmetry, separability and strict positive definiteness for covariance functions: a critical review

S De Iaco, D Posa, C Cappello, S Maggio - Spatial statistics, 2019 - Elsevier
Although isotropy, symmetry and separability are commonly assumed for practical reasons,
anisotropic, asymmetric and non-separable covariance functions are often more realistic; in …

Pixel isotropy test based on directional perimeters

M Abaach, H Biermé, E Di Bernardino, A Estrade - Spatial Statistics, 2024 - Elsevier
In this paper we consider the so-called directional perimeters of a thresholded grey-level
image. These geometrical quantities are built by considering separately the horizontal and …

Spatial modelling of black scabbardfish fishery off the portuguese coast

LM André, I Figueiredo, ML Carvalho, P Simões… - … Science and Its …, 2020 - Springer
Abstract The Black Scabbardfish is a deep-water fish species that lives at depths greater
than 700 m. In Portugal mainland, this is an important commercial resource which is …

A nonparametric spectral domain test of spatial isotropy

ZD Weller, JA Hoeting - Journal of statistical planning and inference, 2020 - Elsevier
Spectral methods have long been used for time series analysis, but their use for exploring
spatially-referenced data is relatively newer and less common. Within spatial statistics the …

[PDF][PDF] Spatial correlation validation of 3D physics-based ground-motion simulations

C Huang, K Tarbali, C Galasso… - 17th world conference in …, 2020 - wcee.nicee.org
Modelling the spatial correlation of ground-motion intensity measures is an essential step in
quantifying the effect of seismic hazard on spatially distributed infrastructure and building …

A spectral domain test of isotropic properties for irregularly spaced spatial data

S Zhang - Journal of Statistical Computation and Simulation, 2021 - Taylor & Francis
In modelling spatial data, it is a crucial aspect to specify the covariance function of the
random field appropriately. For the sake of simplicity, the spatial isotropy is often assumed …

Classification risk of Gaussian spatial data using linear discriminant functions

L Dreižienė - 2019 - epublications.vu.lt
Abstract [eng] The thesis is devoted to the linear discriminant analysis of spatially correlated
data. The presence of spatial correlation violates the assumption of independent …

Resampling Methods for Detecting Anisotropic Correlation Structure

A Rabinowicz, S Rosset - arXiv preprint arXiv:2105.01654, 2021 - arxiv.org
This paper proposes parametric and non-parametric hypothesis testing algorithms for
detecting anisotropy--rotational variance of the covariance function in random fields. Both …

Advancing ground-motion modelling methodologies for improved seismic hazard assessment

C Huang - 2021 - discovery.ucl.ac.uk
This dissertation attempts to advance empirical ground-motion modelling methodologies by
considering spatial and cross-intensity measure (IM) correlation properties. Despite the …