Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating the smoothness of a Gaussian random field from irregularly
  spaced data via higher-order quadratic variations   This article introduces a method for estimating the smoothness of a
stationary, isotropic Gaussian random field from irregularly spaced data. This
involves novel constructions of higher-order quadratic variations and the
establishment of the corresponding fixed-domain asymptotic theory. In
particular, we consider: (i) higher-order quadratic variations using
nonequispaced line transect data, (ii) second-order quadratic variations from a
sample of Gaussian random field observations taken along a smooth curve in
${\mathbb{R}}^2$, (iii) second-order quadratic variations based on deformed
lattice data on ${\mathbb{R}}^2$. Smoothness estimators are proposed that are
strongly consistent under mild assumptions. Simulations indicate that these
estimators perform well for moderate sample sizes.

21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg