Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Parameter estimation on gravitational waves from multiple coalescing binaries

Ilya Mandel

  • Northwestern University, Evanston, Illinois 60208, USA*

  • *ilyamandel@chgk.info

Phys. Rev. D 81, 084029 – Published 15 April, 2010

DOI: https://doi.org/10.1103/PhysRevD.81.084029

Abstract

Future ground-based and space-borne interferometric gravitational-wave detectors may capture between tens and thousands of binary coalescence events per year. There is a significant and growing body of work on the estimation of astrophysically relevant parameters, such as masses and spins, from the gravitational-wave signature of a single event. This paper introduces a robust Bayesian framework for combining the parameter estimates for multiple events into a parameter distribution of the underlying event population. The framework can be readily deployed as a rapid post-processing tool.

Article Text

References (26)

  1. D. Sigg (LIGO Scientific Collaboration), Classical Quantum Gravity 25, 114041 (2008).
  2. P. Fritschel, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, edited by M. Cruise and P. Saulson (2003), Vol. 4856, pp. 282–291.
  3. LIGO Scientific Collaboration , LIGO Tech. Report No. M060056, 2007, https://dcc.ligo.org/cgi-bin/DocDB/ShowDocument?docid=1507.
  4. F. Acernese et al., Classical Quantum Gravity 25, 114045 (2008).
  5. V. Kalogera, C. Kim, D. R. Lorimer, M. Burgay, N. D’Amico, A. Possenti, R. N. Manchester, A. G. Lyne, B. C. Joshi, M. A. McLaughlin et al., Astrophys. J. 601, L179 (2004); 614, L137(E) (2004).
  6. R. O’Shaughnessy, C. Kim, V. Kalogera, and K. Belczynski, Astrophys. J. 672, 479 (2008).
  7. P. Bender et al., Report No. MPQ233, 1998, http://www.srl.caltech.edu/lisa/documents/PrePhaseA.pdf.
  8. A. Sesana, F. Haardt, P. Madau, and M. Volonteri, Astrophys. J. 611, 623 (2004).
  9. J. R. Gair, L. Barack, T. Creighton, C. Cutler, S. L. Larson, E. S. Phinney, and M. Vallisneri, Classical Quantum Gravity 21, S1595 (2004).
  10. M. V. van der Sluys, C. Röver, A. Stroeer, V. Raymond, I. Mandel, N. Christensen, V. Kalogera, R. Meyer, and A. Vecchio, Astrophys. J. 688, L61 (2008).
  11. M. van der Sluys, I. Mandel, V. Raymond, V. Kalogera, C. Röver, and N. Christensen, Classical Quantum Gravity 26, 204010 (2009).
  12. J. Veitch and A. Vecchio, Classical Quantum Gravity 25, 184010 (2008).
  13. E. D. L. Wickham, A. Stroeer, and A. Vecchio, Classical Quantum Gravity 23, S819 (2006).
  14. D. A. Brown, J. Brink, H. Fang, J. R. Gair, C. Li, G. Lovelace, I. Mandel, and K. S. Thorne, Phys. Rev. Lett. 99, 201102 (2007).
  15. T. B. Littenberg and N. J. Cornish, Phys. Rev. D 80, 063007 (2009).
  16. N. J. Cornish and T. B. Littenberg, Phys. Rev. D 76, 083006 (2007).
  17. F. Feroz, J. R. Gair, M. P. Hobson, and E. K. Porter, Classical Quantum Gravity 26, 215003 (2009).
  18. I. Mandel and R. O’Shaughnessy, arXiv:0912.1074.
  19. E. Parzen, Ann. Math. Stat. 33, 1065 (1962).
  20. D. C. Fabrycky and J. N. Winn, Astrophys. J. 696, 1230 (2009).
  21. Y. Shen and B. C. Kelly, Astrophys. J.713, 41 (2010).
  22. A. Gelman, J. B. Carlin, H. S. Stern, and D. B. Rubin, Bayesian Data Analysis (Chapman & Hall/CRC, Boca Raton, 2004).
  23. P. R. Brady and S. Fairhurst, Classical Quantum Gravity 25, 105002 (2008).
  24. C. Cutler and M. Vallisneri, Phys. Rev. D 76, 104018 (2007).
  25. E. A. Huerta and J. R. Gair, Phys. Rev. D 79, 084021 (2009).
  26. T. Bulik and K. Belczyński, Astrophys. J. 589, L37 (2003).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation