Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiparametric Estimation of Cross-covariance Functions for Multivariate
  Random Fields   The prevalence of spatially referenced multivariate data has impelled
researchers to develop a procedure for the joint modeling of multiple spatial
processes. This ordinarily involves modeling marginal and cross-process
dependence for any arbitrary pair of locations using a multivariate spatial
covariance function. However, building a flexible multivariate spatial
covariance function that is nonnegative definite is challenging. Here, we
propose a semiparametric approach for multivariate spatial covariance function
estimation with approximate Mat\'ern marginals and highly flexible
cross-covariance functions via their spectral representations. The flexibility
in our cross-covariance function arises due to B-spline based specification of
the underlying coherence functions, which in turn allows us to capture
non-trivial cross-spectral features. We then develop a likelihood-based
estimation procedure and perform multiple simulation studies to demonstrate the
performance of our method, especially on the coherence function estimation.
Finally, we analyze particulate matter concentrations ($\text{PM}_{2.5}$) and
wind speed data over the North-Eastern region of the United States, where we
illustrate that our proposed method outperforms the commonly used full
bivariate Mat\'ern model and the linear model of coregionalization for spatial
prediction.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
19
The categories of this paper are: eess