Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-dimensional Nonstationary Process Variance Function Estimation   Many spatial processes exhibit nonstationary features. We estimate a variance
function from a single process observation where the errors are nonstationary
and correlated. We propose a difference-based approach for a one-dimensional
nonstationary process and develop a bandwidth selection method for smoothing,
taking into account the correlation in the errors. The estimation results are
compared to that of a local-likelihood approach proposed by Anderes and
Stein(2011). A simulation study shows that our method has a smaller integrated
MSE, easily fixes the boundary bias problem, and requires far less computing
time than the likelihood-based method.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
2
The categories of this paper are: math