Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Test of the Latent Dimension of a Spatial Blind Source Separation Model   We assume a spatial blind source separation model in which the observed
multivariate spatial data is a linear mixture of latent spatially uncorrelated
Gaussian random fields containing a number of pure white noise components. We
propose a test on the number of white noise components and obtain the
asymptotic distribution of its statistic for a general domain. We also
demonstrate how computations can be facilitated in the case of gridded
observation locations. Based on this test, we obtain a consistent estimator of
the true dimension. Simulation studies and an environmental application
demonstrate that our test is at least comparable to and often outperforms
bootstrap-based techniques, which are also introduced in this paper.

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The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th