Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational-wave inference in the catalog era: evolving priors and
  marginal events   As the number of gravitational-wave transient detections grows, the inclusion
of marginally significant events in gravitational-wave catalogs will lead to
increasing contamination from false positives. In this paper, we address the
question of how to carry out population studies in light of the fact that some
fraction of marginally significant gravitational-wave events are of terrestrial
origin. We show that previously published estimates of $p_\text{astro}$, the
probability that an event is of astrophysical origin, imply an effective noise
likelihood, which can be used to take into account the uncertain origin of
marginal events in population studies. We derive a formalism to carry out
population studies with ambiguous gravitational-wave events. We demonstrate
this formalism using events from the LIGO/Virgo Gravitational-Wave Transient
Catalog 1 (GWTC-1) as well as events from the Venumadhav et al. "IAS catalog."
We derive posterior distributions for population parameters and discuss how
they change when we take into account $p_\text{astro}$. We provide updated
individual-event posterior distributions by including population information.

33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin