Asymmetric Cross-Correlation in Multivariate Spatial Stochastic Processes: A Primer
Methodology
2026-01-27 v1 Statistics Theory
Statistics Theory
Abstract
Multivariate spatial phenomena are ubiquitous, spanning domains such as climate, pandemics, air quality, and social economy. Cross-correlation between different quantities of interest at different locations is asymmetric in general. This paper provides the visualization, structure, and properties of asymmetric cross-correlation as well as symmetric auto-correlation. It reviews mainstream multivariate spatial models and analyzes their capability to accommodate asymmetric cross-correlation. It also illustrates the difference in model accuracy with and without asymmetric accommodation using a 1D simulated example.
Cite
@article{arxiv.2503.02903,
title = {Asymmetric Cross-Correlation in Multivariate Spatial Stochastic Processes: A Primer},
author = {Xiaoqing Chen},
journal= {arXiv preprint arXiv:2503.02903},
year = {2026}
}
Comments
18 pages, 4 figures