Kavli Affiliate: Lijing Shao
| First 5 Authors: Ziming Wang, Zexin Hu, Lijing Shao, ,
| Summary:
In the era of the next-generation gravitational-wave detectors, signal
overlaps will become prevalent due to high detection rate and long signal
duration, posing significant challenges to data analysis. While effective
algorithms are being developed, there still lacks an integrated understanding
on the statistical properties for the population of overlapping events. For the
first time we rigorously derive and establish analytical expressions for the
expectation and variance for the number of overlapping events to aid rapid and
robust estimation. We also mathematically prove that the time difference
between events in a single observation run is described by the beta
distribution, offering an analytical prior reference for Bayesian analysis.
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