Parameter estimation of spinning binary inspirals using Markov-chain Monte Carlo

Abstract

We present a Markov-chain Monte-Carlo (MCMC) technique to study the source parameters of gravitational-wave signals from the inspirals of stellar-mass compact binaries detected with ground-based gravitational-wave detectors such as LIGO and Virgo, for the case where spin is present in the more massive compact object in the binary. We discuss aspects of the MCMC algorithm that allow us to sample the parameter space in an efficient way. We show sample runs that illustrate the possibilities of our MCMC code and the difficulties that we encounter.

10 pages, 2 figures, submitted to Classical and Quantum Gravity

References in corpus (5)

• Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit
• Search for gravitational waves from binary inspirals in S3 and S4 LIGO data
• Black Hole Spin Evolution: Implications for Short-hard Gamma Ray Bursts and Gravitational Wave Detection
• Coherent Bayesian inference on compact binary inspirals using a network of interferometric gravitational wave detectors
• Search of S3 LIGO data for gravitational wave signals from spinning black hole and neutron star binary inspirals

Cited by in corpus (91)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Properties of the binary neutron star merger GW170817
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Properties of the Binary Black Hole Merger GW150914
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Astrophysical Implications of the Binary Black-Hole Merger GW150914
• Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• A guide to LIGO-Virgo detector noise and extraction of transient gravitational-wave signals
• Delayed outflows from black hole accretion tori following neutron star binary coalescence
• Dynamic temperature selection for parallel-tempering in Markov chain Monte Carlo simulations
• Binary Neutron Star Mergers
• Bayesian coherent analysis of in-spiral gravitational wave signals with a detector network
• Systematic and statistical errors in a bayesian approach to the estimation of the neutron-star equation of state using advanced gravitational wave detectors
• Identifying Elusive Electromagnetic Counterparts to Gravitational Wave Mergers: an end-to-end simulation
• Search for Gravitational Waves from Low Mass Compact Binary Coalescence in LIGO's Sixth Science Run and Virgo's Science Runs 2 and 3
• Compact Binary Coalescences in the Band of Ground-based Gravitational-Wave Detectors
• GWTC-2.1: Deep Extended Catalog of Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• The First Two Years of Electromagnetic Follow-Up with Advanced LIGO and Virgo
• Exploring properties of high-density matter through remnants of neutron-star mergers
• Searching for gravitational waves from binary coalescence
• Degeneracy between mass and spin in black-hole-binary waveforms
• Revealing the high-density equation of state through binary neutron star mergers
• Parameter estimation for compact binary coalescence signals with the first generation gravitational-wave detector network
• Parameter estimation for binary neutron-star coalescences with realistic noise during the Advanced LIGO era
• Testing gravitational-wave searches with numerical relativity waveforms: Results from the first Numerical INJection Analysis (NINJA) project
• When can gravitational-wave observations distinguish between black holes and neutron stars?
• Gravitational-Wave Astronomy with Inspiral Signals of Spinning Compact-Object Binaries
• Resolving multiple supermassive black hole binaries with pulsar timing arrays
• Gravitational Waves: Sources, Detectors and Searches
• Inadequacies of the Fisher Information Matrix in gravitational-wave parameter estimation
• Angular velocity of gravitational radiation from precessing binaries and the corotating frame
• Parameter estimation with gravitational waves
• Estimating parameters of coalescing compact binaries with proposed advanced detector networks
• Constraining alternative theories of gravity by gravitational waves from precessing eccentric compact binaries with LISA
• Estimating parameters of coalescing compact binaries with a detector network including LIGO Australia
• Impact of gravitational radiation higher order modes on single aligned-spin gravitational wave searches for binary black holes
• Estimating the parameters of non-spinning binary black holes using ground-based gravitational-wave detectors: Statistical errors
• Constraining the Inclination of Binary Mergers from Gravitational-wave Observations
• Black-hole ringdown as a probe of higher-curvature gravity theories
• A Bayesian Approach to the Detection Problem in Gravitational Wave Astronomy
• Inferring the population properties of binary neutron stars with gravitational-wave measurements of spin
• Comparison of Gravitational Wave Detector Network Sky Localization Approximations
• Reconstructing the sky location of gravitational-wave detected compact binary systems: methodology for testing and comparison
• Two-harmonic approximation for gravitational waveforms from precessing binaries
• Accuracy and effectualness of closed-form, frequency-domain waveforms for non-spinning black hole binaries
• A detection pipeline for galactic binaries in LISA data
• The NINJA-2 project: Detecting and characterizing gravitational waveforms modelled using numerical binary black hole simulations
• A Bayesian analysis pipeline for continuous GW sources in the PTA band
• Relevance of tidal effects and post-merger dynamics for binary neutron star parameter estimation
• The Memory Remains (Undetected): Updates from the Second LIGO/Virgo Gravitational-Wave Transient Catalog
• Status of NINJA: the Numerical INJection Analysis project
• Degeneracies in Sky Localisation Determination from a Spinning Coalescing Binary through Gravitational Wave Observations: a Markov-Chain Monte-Carlo Analysis for two Detectors
• Parameter estimation on compact binary coalescences with abruptly terminating gravitational waveforms
• Tests of general relativity in the nonlinear regime: a parametrized plunge-merger-ringdown gravitational waveform model
• Precession during merger 1: Strong polarization changes are observationally accessible features of strong-field gravity during binary black hole merger
• Expanding the LISA Horizon from the Ground
• Detection and Parameter Estimation of Gravitational Waves from Compact Binary Inspirals with Analytical Double-Precessing Templates
• Advanced LIGO's ability to detect apparent violations of the cosmic censorship conjecture and the no-hair theorem through compact binary coalescence detections
• Testing the validity of the single-spin approximation in inspiral-merger-ringdown waveforms
• Measuring eccentricity of binary black holes in GWTC-1 by using inspiral-only waveform
• Parameter estimation for signals from compact binary inspirals injected into LIGO data
• Separating Gravitational Wave Signals from Instrument Artifacts
• Distinguishing black-hole spin-orbit resonances by their gravitational wave signatures. II: Full parameter estimation
• Characterizing Spinning Black Hole Binaries in Eccentric Orbits with LISA
• Detection Strategies for Extreme Mass Ratio Inspirals
• The effects of LIGO detector noise on a 15-dimensional Markov-chain Monte-Carlo analysis of gravitational-wave signals
• The Issues of Mismodelling Gravitational-Wave Data for Parameter Estimation
• Is J enough? Comparison of gravitational waves emitted along the total angular momentum direction with other preferred orientations
• Deep Learning Model on Gravitational Waveforms in Merging and Ringdown Phases of Binary Black Hole Coalescences
• Performance of Particle Swarm Optimization on the fully-coherent all-sky search for gravitational waves from compact binary coalescences
• Efficient Estimation of Highly Structured Posteriors of Gravitational-Wave Signals with Markov-Chain Monte Carlo
• Gravitational-wave Science in the High School Classroom
• Parameter Estimation of Gravitational Waves with a Quantum Metropolis Algorithm
• Enhancing the capabilities of LIGO time-frequency plane searches through clustering
• An Efficient Interpolation Technique for Jump Proposals in Reversible-Jump Markov Chain Monte Carlo Calculations
• Generalized Parallel Tempering on Bayesian Inverse Problems
• Bayesian inference for binary neutron star inspirals using a Hamiltonian Monte Carlo Algorithm
• Current status of gravitational-wave observations
• Nonorthogonal wavelet transformation for reconstructing gravitational wave signals
• Classifying binary black holes from Population III stars with the Einstein Telescope: A machine-learning approach
• Computational Techniques for Parameter Estimation of Gravitational Wave Signals
• Astronomy and astrophysics with gravitational waves in the Advanced Detector Era
• Global Optimization for Future Gravitational Wave Detectors' Sites
• Distinguishing binary black hole precessional morphologies with gravitational wave observations
• Quantum Bayesian Inference with Renormalization for Gravitational Waves
• Mapping Parameter Correlations in Spinning Binary Black Hole Mergers
• Sensing and vetoing loud transient noises for the gravitational-wave detection
• Closing the Evidence Gap: reddemcee, a Fast Adaptive Parallel Tempering Sampler
• Recovering a spinning inspiralling compact binary waveform immersed in LIGO-like noise with spinning templates