Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit theory for the empirical extremogram of random fields   Regularly varying stochastic processes are able to model extremal dependence
between process values at locations in random fields. We investigate the
empirical extremogram as an estimator of dependence in the extremes. We provide
conditions to ensure asymptotic normality of the empirical extremogram centred
by a pre-asymptotic version. For max-stable processes with Fr{\'e}chet margins
we provide conditions such that the empirical extremogram centred by its true
version is asymptotically normal. The results of this paper apply to a variety
of spatial and space-time processes, and to time series models. We apply our
results to max-moving average processes and Brown-Resnick processes.

14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph