A Metropolis-Hastings routine for estimating parameters from compact binary inspiral events with laser interferometric gravitational radiation data

Christensen, N.; Libson, A.; Meyer, R.

doi:10.1088/0264-9381/21/1/023

A Metropolis-Hastings routine for estimating parameters from compact binary inspiral events with laser interferometric gravitational radiation data

2004

14 pages

Published in:

Class.Quant.Grav. 21 (2004) 317-330

DOI:

10.1088/0264-9381/21/1/023

reference search35 citations

Citations per year

Abstract: (IOP)

Presented here are the results of a Metropolis–Hastings Markov chain Monte Carlo routine applied to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. The Metropolis–Hastings routine is described in detail, and examples show that signals may be detected and analysed from within noisy data. Using the Bayesian framework of statistical inference, posterior distributions for the parameters of the binary system are derived using our routine.

gravitational radiation: detector
gravitational radiation: particle source
optics: interference
astrophysics: binary
data analysis method
statistical analysis
numerical calculations: Monte Carlo
bibliography

References(69)

Figures(0)

[1]

G&#252

Abramovici A
,
Althouse W. E
,
Drever R.W. P

[1]

LIGO: The Laser interferometer gravitational wave observatory

Alex Abramovici
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
William E. Althouse
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Ronald W.P. Drever
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Yekta Gursel
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Seiji Kawamura
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)

et al.

- Science 256 (1992) 325-333
•
DOI:
- 10.1126/science.256.5055.325

[2]

1997 Gravitational Wave Detection K Tsubono, M-K Fujimoto and K Kurodo (eds.) (Tokyo: Universal pp 155-61

Barish B. C

[3]

1997 Gravitational Wave Detection K Tsubono, M-K Fujimoto and K Kurodo (eds.) (Tokyo: Universal pp 183-91

Tsubono K

[4]

1997 Gravitational Wave Detection K Tsubono, M-K Fujimoto and K Kurodo (eds.) (Tokyo: Universal pp 175-82

Hough J

[5]

Status of the VIRGO experiment

et al.

- Nucl.Phys.B Proc.Suppl. 48 (1996) 107-109,
- Nucl. Phys. B, Proc. Suppl. 48 (1996) 107-109. In *Toledo 1995, TAUP 95* 107-109
•
DOI:
- 10.1016/0920-5632(96)00220-4

[6]

1997 Gravitational Wave Detection K Tsubono, M-K Fujimoto and K Kurodo (eds.) (Tokyo: Universal pp 163-73

Brillet A

[7]

1916 Preuss. Akad. Wiss. Berlin, Sitzungsberichte der physikalisch-mathematischen Klasse p 688

Einstein A

[8]

Further experimental tests of relativistic gravity using the binary pulsar PSR 1913+16

Joseph H. Taylor
(
- Princeton U.
)
,
J.M. Weisberg
(
- Carleton Coll.
)

- Astrophys.J. 345 (1989) 434-450
•
DOI:
- 10.1086/167917

[9]

1987 300 Years of Gravitation S W Hawking and W Israel (eds.) (Cambridge: Cambridge University Press) p 330

Thorne K. S

[10]

On the possibility of determining cosmological parameters from measurements of gravitational waves emitted by coalescing, compact binaries

Dragoljub Markovic
(
- Caltech
)

- Phys.Rev.D 48 (1993) 4738-4756
•
DOI:
- 10.1103/PhysRevD.48.4738

[11]

Determining the Hubble Constant from Gravitational Wave Observations

Bernard F. Schutz
(
- Cardiff U.
)

- Nature 323 (1986) 310-311,
- Nature 323 ( 1986) 310-311
•
DOI:
- 10.1038/323310a0

[12]

Gravitational waves from merging compact binaries: How accurately can one extract the binary's parameters from the inspiral wave form?

Curt Cutler
(
- Caltech
)
,
Eanna E. Flanagan
(
- Caltech
)

- Phys.Rev.D 49 (1994) 2658-2697
•
e-Print:
- gr-qc/9402014
•
DOI:
- 10.1103/PhysRevD.49.2658

[13]

Binary inspiral, gravitational radiation, and cosmology

Lee Samuel Finn
(
- Northwestern U.
)

- Phys.Rev.D 53 (1996) 2878-2894
•
e-Print:
- gr-qc/9601048
•
DOI:
- 10.1103/PhysRevD.53.2878

[14]

The Last three minutes: issues in gravitational wave measurements of coalescing compact binaries

Curt Cutler
(
- Caltech
)
,
Theocharis A. Apostolatos
(
- Caltech
)
,
Lars Bildsten
(
- Caltech
)
,
Lee Samuel Finn
(
- Northwestern U.
)
,
Eanna E. Flanagan
(
- Caltech
)

et al.

- Phys.Rev.Lett. 70 (1993) 2984-2987
•
e-Print:
- astro-ph/9208005
•
DOI:
- 10.1103/PhysRevLett.70.2984

[15]

Tuning gravitational wave detector networks to measure compact binary mergers

Scott A. Hughes
(
- Santa Barbara, KITP
)

- Phys.Rev.D 66 (2002) 102001
•
e-Print:
- gr-qc/0209012
•
DOI:
- 10.1103/PhysRevD.66.102001

[16]

What can we learn about neutron stars from gravity wave observations?

Michele Vallisneri
(
- Caltech
)

[17]

Measuring gravitational waves from binary black hole coalescences: 1. Signal-to-noise for inspiral, merger, and ringdown

Eanna E. Flanagan
(
- Cornell U., LNS
)
,
Scott A. Hughes
(
- Caltech
)

- Phys.Rev.D 57 (1998) 4535-4565
•
e-Print:
- gr-qc/9701039
•
DOI:
- 10.1103/PhysRevD.57.4535

[18]

Measuring gravitational waves from binary black hole coalescences: 2. The Waves' information and its extraction, with and without templates

Eanna E. Flanagan
(
- Cornell U., LNS
)
,
Scott A. Hughes
(
- Caltech
)

- Phys.Rev.D 57 (1998) 4566-4587
•
e-Print:
- gr-qc/9710129
•
DOI:
- 10.1103/PhysRevD.57.4566

[19]

1992

Gregory P. C
,
Loredo T. J

- Astrophys.J. 398 (1992) 146
•
DOI:
- 10.1086/171844

[20]

1992 The promise of Bayesian inference for astrophysics Statistical Challenges in Modern Astronomy E D Feigelson and G J Babu (eds.) (New York: pp 275-97

Loredo T. J

DOI:
- 10.1007/978-1-4613-9290-3_31

[21]

1996 The return of the prodigal: Bayesian inference for astrophysics Bayesian Statistics vol 5 J Bernardo et al. (eds.) (Oxford: Oxford University Press)

Loredo T. J

[22]

1999 Computational technology for Bayesian inference ADASS VIII R Crutcher and D Mehringer (eds.) (San-Francisco: Astronomical Society of the Pacific)

Loredo T. J

[23]

Issues in gravitational wave data analysis

Lee Samuel Finn
(
- Northwestern U.
)

•
e-Print:
- gr-qc/9709077

[24]

1996 Markov Chain Monte Carlo in Practice (London: Chapman and Hall)

Gilks W. R
,
Richardson S
,
Spiegelhalter D. J

DOI:
- 10.1007/978-1-4899-4485-6

1-25 of 69
1
2
3
25 / page