Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unifying Compactly Supported and Matern Covariance Functions in Spatial
  Statistics   The Mat{\'e}rn family of covariance functions has played a central role in
spatial statistics for decades, being a flexible parametric class with one
parameter determining the smoothness of the paths of the underlying spatial
field.
  This paper proposes a new family of spatial covariance functions, which stems
from a reparameterization of the generalized Wendland family. As for the
Mat{\'e}rn case, the new class allows for a continuous parameterization of the
smoothness of the underlying Gaussian random field, being additionally
compactly supported.
  More importantly, we show that the proposed covariance family generalizes the
Mat{\'e}rn model which is attained as a special limit case. The practical
implication of our theoretical results questions the effective flexibility of
the Mat{\'e}rn covariance from modeling and computational viewpoints.
  Our numerical experiments elucidate the speed of convergence of the proposed
model to the Mat{\'e}rn model. We also inspect the level of sparseness of the
associated (inverse) covariance matrix and the asymptotic distribution of the
maximum likelihood estimator under increasing and fixed domain asymptotics. The
effectiveness of our proposal is illustrated by analyzing a georeferenced
dataset on maximum temperatures over the southeastern United States, and
performing a re-analysis of a large spatial point referenced dataset of yearly
total precipitation anomalies

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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph