Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter Estimation for Tests of General Relativity with the
  Astrophysical Stochastic Gravitational Wave Background   Recent observations of gravitational waves from binary black holes and
neutron stars allow us to probe the strong and dynamical field regime of
gravity. On the other hand, a collective signal from many individual,
unresolved sources results in what is known as a stochastic background. We here
consider probing gravity with such a background from stellar-mass binary black
hole mergers. We adopt a simple power-law spectrum and carry out a parameter
estimation study with a network of current and future ground-based detectors by
including both general relativistic and beyond general relativistic variables.
For a network of second-generation detectors, we find that one can place
meaningful bounds on the deviation parameter in the gravitational-wave
amplitude if it enters at a sufficiently negative post-Newtonian order.
However, such future bounds from a stochastic background are weaker than
existing bounds from individual sources, such as GW150914 and GW151226. We also
find that systematic errors due to mismodeling of the spectrum is much smaller
than statistical errors, which justifies our use of the power-law model.
Regarding a network of third-generation detectors, we find that the bounds on
the deviation parameter from statistical errors improve upon the
second-generation case, though systematic errors now dominate the error budget
and thus one needs to use a more realistic spectrum model. We conclude that
individual sources seem to be more powerful in probing general relativity than
the astrophysical stochastic background.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th