MCMC Exploration of Supermassive Black Hole Binary Inspirals
arXiv:gr-qc/0605085 · doi:10.1088/0264-9381/23/19/S15
Abstract
The Laser Interferometer Space Antenna will be able to detect the inspiral and merger of Super Massive Black Hole Binaries (SMBHBs) anywhere in the Universe. Standard matched filtering techniques can be used to detect and characterize these systems. Markov Chain Monte Carlo (MCMC) methods are ideally suited to this and other LISA data analysis problems as they are able to efficiently handle models with large dimensions. Here we compare the posterior parameter distributions derived by an MCMC algorithm with the distributions predicted by the Fisher information matrix. We find excellent agreement for the extrinsic parameters, while the Fisher matrix slightly overestimates errors in the intrinsic parameters.
Submitted to CQG as a GWDAW-10 Conference Proceedings, 9 pages, 5 figures, Published Version
References in corpus (17)
- On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
- Angular Resolution of the LISA Gravitational Wave Detector
- Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
- Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order
- Event rate estimates for LISA extreme mass ratio capture sources
- Untangling the merger history of massive black holes with LISA
- LISA Data Analysis using MCMC methods
- The LISA Response Function
- LISA data analysis: Source identification and subtraction
- The Angular Resolution of Space-Based Gravitational Wave Detectors
- Bayesian modeling of source confusion in LISA data
- Darwin Meets Einstein: LISA Data Analysis Using Genetic Algorithms
- A Metropolis-Hastings algorithm for extracting periodic gravitational wave signals from laser interferometric detector data
- A Markov Chain Monte Carlo approach to the study of massive black hole binary systems with LISA
- Effects of finite arm-length of LISA on analysis of gravitational waves from MBH binaries
- Tomographic approach to resolving the distribution of LISA Galactic binaries
- Detecting gravitational radiation from neutron stars using a six-parameter adaptive MCMC method
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- Physics, Astrophysics and Cosmology with Gravitational Waves
- BayesWave: Bayesian Inference for Gravitational Wave Bursts and Instrument Glitches
- Measuring coalescing massive binary black holes with gravitational waves: The impact of spin-induced precession
- Exploring the Bayesian parameter estimation of binary black holes with LISA
- Higher signal harmonics, LISA's angular resolution, and dark energy
- eLISA: Astrophysics and cosmology in the millihertz regime
- Inadequacies of the Fisher Information Matrix in gravitational-wave parameter estimation
- A Solution to the Galactic Foreground Problem for LISA
- Pre-Merger Localization of Gravitational-Wave Standard Sirens With LISA: Triggered Search for an Electromagnetic Counterpart
- The Search for Massive Black Hole Binaries with LISA
- Preliminary study on parameter estimation accuracy of supermassive black hole binary inspirals for TianQin
- The Effect of Higher Harmonic Corrections on the Detection of massive black hole binaries with LISA
- Efficient Cosmological Parameter Estimation with Hamiltonian Monte Carlo
- GPU-accelerated massive black hole binary parameter estimation with LISA
- Measuring parameters of massive black hole binaries with partially aligned spins
- Catching Super Massive Black Hole Binaries Without a Net
- A Constrained Metropolis-Hastings Search for EMRIs in the Mock LISA Data Challenge 1B
- Improved time-frequency analysis of extreme-mass-ratio inspiral signals in mock LISA data
- Extracting galactic binary signals from the first round of Mock LISA Data Challenges
- Black Hole Hunting with LISA
- Characterizing Spinning Black Hole Binaries in Eccentric Orbits with LISA
- A LISA Data-Analysis Primer
- A Three-Stage Search for Supermassive Black Hole Binaries in LISA Data
- Fisher vs. Bayes : A comparison of parameter estimation techniques for massive black hole binaries to high redshifts with eLISA
- Sky localization of complete inspiral-merger-ringdown signals for nonspinning massive black hole binaries
- Parameter estimation of coalescing supermassive black hole binaries with LISA
- Searching for Massive Black Hole Binaries in the first Mock LISA Data Challenge
- Application of the effective Fisher matrix to the frequency domain inspiral waveforms
- Inference on inspiral signals using LISA MLDC data
- Synergy between ground and space based gravitational wave detectors II: Localisation
- A Hamiltonian Monte Carlo method for Bayesian Inference of Supermassive Black Hole Binaries
- Supermassive Black Hole Tests of General Relativity with eLISA
- Accelerated parameter estimation of supermassive black hole binaries in LISA using a meshfree approximation
- Relativistic encounters in dense stellar systems
- Integral geometry for Markov chain Monte Carlo: overcoming the curse of search-subspace dimensionality
- Detectability and Parameter Estimation for Einstein Telescope Configurations with GWJulia
- A fully-automated end-to-end pipeline for massive black hole binary signal extraction from LISA data
- Facing the LISA Data Analysis Challenge
- The Challenges in Gravitational Wave Astronomy for Space-Based Detectors