Normal Approximate Likelihoods to Gravitational Wave Events
arXiv:2107.13082
Abstract
Gravitational wave observations of quasicircular compact binary mergers in principle provide an arbitrarily complex likelihood over eight independent intrinsic parameters: the masses and spins of the two merging objects. In this work, we demonstrate by example that a simple normal approximation over fewer (usually, three) effective dimensions provides a very accurate representation of the likelihood, and allows us to replicate the eight-dimensional posterior over the mass and spin degrees of freedom. Alongside this paper, we provide the parameters for multivariate normal fits for each event published in GWTC-1 and GWTC-2, using the posterior samples from the catalog for each associated release. These normal approximations provide a highly efficient way to characterize gravitational wave observations when combining large numbers of events.
References in corpus (7)
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
- Recoil velocity at 2PN order for spinning black hole binaries
- Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
- A scalable random forest regressor for combining neutron-star equation of state measurements: A case study with GW170817 and GW190425
- A Thesaurus for Common Priors in Gravitational-Wave Astronomy