Gravitational-wave inference in the catalog era: evolving priors and marginal events

Abstract

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.

23 pages, 24 figures

References in corpus (14)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• A gravitational-wave standard siren measurement of the Hubble constant
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• The LIGO Open Science Center
• 2-OGC: Open Gravitational-wave Catalog of binary mergers from analysis of public Advanced LIGO and Virgo data
• A Highly Spinning and Aligned Binary Black Hole Merger in the Advanced LIGO First Observing Run
• Where are LIGO's Big Black Holes?
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• Model-independent inference on compact-binary observations
• The Most Massive Binary Black Hole Detections and the Identification of Population Outliers
• Gravitational wave detection without boot straps: a Bayesian approach
• How to confirm the existence of population III stars by observations of gravitational waves

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