Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two sample inference for the second-order property of temporally
  dependent functional data   Motivated by the need to statistically quantify the difference between two
spatio-temporal datasets that arise in climate downscaling studies, we propose
new tests to detect the differences of the covariance operators and their
associated characteristics of two functional time series. Our two sample tests
are constructed on the basis of functional principal component analysis and
self-normalization, the latter of which is a new studentization technique
recently developed for the inference of a univariate time series. Compared to
the existing tests, our SN-based tests allow for weak dependence within each
sample and it is robust to the dependence between the two samples in the case
of equal sample sizes. Asymptotic properties of the SN-based test statistics
are derived under both the null and local alternatives. Through extensive
simulations, our SN-based tests are shown to outperform existing alternatives
in size and their powers are found to be respectable. The tests are then
applied to the gridded climate model outputs and interpolated observations to
detect the difference in their spatial dynamics.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc