Using Markov chain Monte Carlo methods for estimating parameters with gravitational radiation data
Abstract
We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we demonstrate the potential that MCMC techniques may hold for the computation of posterior distributions of parameters of the binary system that created the gravity radiation signal. We describe the use of the Gibbs sampler method, and present examples whereby signals are detected and analyzed from within noisy data.
- Publication:
-
Physical Review D
- Pub Date:
- July 2001
- DOI:
- 10.1103/PhysRevD.64.022001
- arXiv:
- arXiv:gr-qc/0102018
- Bibcode:
- 2001PhRvD..64b2001C
- Keywords:
-
- 04.80.Nn;
- 02.70.Rr;
- 06.20.Dk;
- Gravitational wave detectors and experiments;
- General statistical methods;
- Measurement and error theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 21 pages, 10 figures