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.

arXiv comment23 pages, 24 figures

References in corpus (55)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW170817: Measurements of Neutron Star Radii and Equation of State
• How Massive Single Stars End their Life
• The Nucleosynthetic Signature of Population III
• Characterization of the LIGO detectors during their sixth science run
• A gravitational-wave standard siren measurement of the Hubble constant
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• The PyCBC search for gravitational waves from compact binary coalescence
• Merging binary black holes formed through chemically homogeneous evolution in short-period stellar binaries
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• A 2 per cent Hubble constant measurement from standard sirens within 5 years
• The evolutionary roads leading to low effective spins, high black hole masses, and O1/O2 rates of LIGO/Virgo binary black holes
• New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo
• Are merging black holes born from stellar collapse or previous mergers?
• Dynamic temperature selection for parallel-tempering in Markov chain Monte Carlo simulations
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• Hierarchical Black Hole Mergers in Active Galactic Nuclei
• The LIGO Open Science Center
• Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization
• 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
• 1-OGC: The first open gravitational-wave catalog of binary mergers from analysis of public Advanced LIGO data
• Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments
• Where are LIGO's Big Black Holes?
• Determining the population properties of spinning black holes
• A New Search Pipeline for Compact Binary Mergers: Results for Binary Black Holes in the First Observing Run of Advanced LIGO
• Reconstructing phenomenological distributions of compact binaries via gravitational wave observations
• Use of gravitational waves to probe the formation channels of compact binaries
• Constraining Formation Models of Binary Black Holes with Gravitational-Wave Observations
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• Measuring eccentricity in binary black hole inspirals with gravitational waves
• A novel scheme for rapid parallel parameter estimation of gravitational waves from compact binary coalescences
• Accuracy of inference on the physics of binary evolution from gravitational-wave observations
• Counting And Confusion: Bayesian Rate Estimation With Multiple Populations
• Mitigation of the instrumental noise transient in gravitational-wave data surrounding GW170817
• Parallelized Inference for Gravitational-Wave Astronomy
• Distinguishing compact binary population synthesis models using gravitational-wave observations of coalescing binary black holes
• On the properties of the massive binary black hole merger GW170729
• Explaining LIGO's observations via isolated binary evolution with natal kicks
• Model-independent inference on compact-binary observations
• Mining Gravitational-wave Catalogs To Understand Binary Stellar Evolution: A New Hierarchical Bayesian Framework
• The Most Massive Binary Black Hole Detections and the Identification of Population Outliers
• The optimal search for an astrophysical gravitational-wave background
• Summed Parallel Infinite Impulse Response (SPIIR) Filters For Low-Latency Gravitational Wave Detection
• Constraining the fraction of binary black holes formed in isolation and young star clusters with gravitational-wave data
• A self-consistent method to estimate the rate of compact binary coalescences with a Poisson mixture model
• Digging the population of compact binary mergers out of the noise
• What GW170729's exceptional mass and spin tells us about its family tree
• Enhancing confidence in the detection of gravitational waves from compact binaries using signal coherence
• 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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• Minding the gap: GW190521 as a straddling binary
• The Low Effective Spin of Binary Black Holes and Implications for Individual Gravitational-Wave Events
• Binary Black Hole Mergers from LIGO/Virgo O1 and O2: Population Inference Combining Confident and Marginal Events
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• GW241011 and GW241110: Exploring Binary Formation and Fundamental Physics with Asymmetric, High-Spin Black Hole Coalescence
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• The population of merging compact binaries inferred using gravitational waves through GWTC-3
• PixelPop: High Resolution Nonparameteric Inference of Gravitational-Wave Populations in Multiple Dimensions
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• LIGO-Virgo-KAGRA's Oldest Black Holes: Probing star formation at cosmic noon with GWTC-3
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• Assessing gravitational-wave binary black hole candidates with Bayesian odds
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• Inferring the Astrophysical Population of Gravitational Wave Sources in the Presence of Noise Transients
• A Mid-Thirties Crisis: Dissecting the Properties of Gravitational Wave Sources Near the 35 Solar Mass Peak
• A Unified $p_{\mathrm{astro}}$ for Gravitational Waves: Consistently Combining Information from Multiple Search Pipelines
• Black Hole Mass Function of Coalescing Neutron Star-Black Hole Binary Systems: The Prospect of Reconstruction with the Gravitational Wave Observations
• A follow-up on intermediate-mass black hole candidates in the second LIGO-Virgo observing run with the Bayes Coherence Ratio
• Binary black hole population inference combining confident and marginal events from the $\mathtt{IAS}\text{-}\mathtt{HM}$ search pipeline
• Reducing systematic uncertainties in gravitational-wave population analyses by increasing the detection threshold
• Gravitational-wave astronomy requires population-informed parameter estimation
• Inferring binary black holes stellar progenitors with gravitational wave sources