Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inference with finite time series: Observing the gravitational Universe
  through windows   Time series analysis is ubiquitous in many fields of science including
gravitational-wave astronomy, where strain time series are analyzed to infer
the nature of gravitational-wave sources, e.g., black holes and neutron stars.
It is common in gravitational-wave transient studies to apply a tapered window
function to reduce the effects of spectral artifacts from the sharp edges of
data segments. We show that the conventional analysis of tapered data fails to
take into account covariance between frequency bins, which arises for all
finite time series -- no matter the choice of window function. We discuss the
origin of this covariance and show that as the number of gravitational-wave
detections grows, and as we gain access to more high signal-to-noise ratio
events, this covariance will become a non-negligible source of systematic
error. We derive a framework that models the correlation induced by the window
function and demonstrate this solution using both data from the first
LIGO--Virgo transient catalog and simulated Gaussian noise.

13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: stat