Wavelet estimation of nonstationary spatial covariance function
Methodology
2023-05-05 v1 Applications
Abstract
This work proposes a new procedure for estimating the non-stationary spatial covariance function for Spatial-Temporal Deformation. The proposed procedure is based on a monotonic function approach. The deformation functions are expanded as a linear combination of the wavelet basis. The estimate of the deformation guarantees an injective transformation. Such that two distinct locations in the geographic plane are not mapped into the same point in the deformation plane. Simulation studies have shown the effectiveness of this procedure. An application to historical daily maximum temperature records exemplifies the flexibility of the proposed methodology when dealing with real datasets.
Cite
@article{arxiv.2305.02489,
title = {Wavelet estimation of nonstationary spatial covariance function},
author = {Yangyang Chen and Pedro Alberto Morettin and Ronaldo Dias and Chang Chiann},
journal= {arXiv preprint arXiv:2305.02489},
year = {2023}
}