Estimating the parameters of nonspinning binary black holes using ground-based gravitational-wave detectors: Statistical errors

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 79, Issue 8, 2009, Pages

  Ajith, P ^a,b   Bose, Sukanta ^a,c  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 66749147311     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.79.084032     Document Type: Article

References (88)

1. R. Narayan, New J. Phys. 7, 199 (2005). NJOPFM 1367-2630 10.1088/1367-2630/7/1/199
2. J. Kormendy and D. Richstone, Annu. Rev. Astron. Astrophys. 33, 581 (1995). ARAAAJ 0066-4146
3. R. Schodel, Nature (London) NATUAS 0028-0836 419, 694 (2002). 10.1038/nature01121
4. M.C. Miller and E.J.M. Colbert, Int. J. Mod. Phys. D 13, 1 (2004). IMPDEO 0218-2718 10.1142/S0218271804004426
5. S. Komossa, Astrophys. J. 582, L15 (2003). ASJOAB 0004-637X 10.1086/346145
6. L. Ballo, Astrophys. J. 600, 634 (2004). ASJOAB 0004-637X 10.1086/379887
7. M. Guainazzi, E. Piconcelli, E. Jimenez-Bailon, and G. Matt, Astron. Astrophys. 429, L9 (2005). AAEJAF 0004-6361 10.1051/0004-6361:200400104
8. D.A. Evans, arXiv:0712.2669.
9. S. Bianchi, arXiv:0802.0825.
10. K.A. Postnov and L.R. Yungelson, Living Rev. Relativity 9, 5 (2006), http://www.livingreviews.org/lrr-2006-6. 1433-8351
11. P. Amaro-Seoane and M. Freitag, Astrophys. J. 653, L53 (2006). ASJOAB 0004-637X 10.1086/510405
12. J.M. Fregeau, Astrophys. J. 646, L135 (2006). ASJOAB 0004-637X 10.1086/507106
13. I. Mandel, D.A. Brown, J.R. Gair, and M.C. Miller, arXiv:0705.0285.
14. F. Pretorius, Phys. Rev. Lett. 95, 121101 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.121101
15. M. Campanelli, C.O. Lousto, P. Marronetti, and Y. Zlochower, Phys. Rev. Lett. 96, 111101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111101
16. J.G. Baker, Phys. Rev. Lett. 96, 111102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111102
17. F. Herrmann, I. Hinder, D. Shoemaker, and P. Laguna, Classical Quantum Gravity CQGRDG 0264-9381 24, S33 (2007). 10.1088/0264-9381/24/12/S04
18. U. Sperhake, arXiv:gr-qc/0606079.
19. B. Brügmann, arXiv:gr-qc/0610128.
20. J. Thornburg, Classical Quantum Gravity CQGRDG 0264-9381 24, 3911 (2007). 10.1088/0264-9381/24/15/009
21. Z.B. Etienne, arXiv:0707.2083.
22. D. Sigg, Classical Quantum Gravity CQGRDG 0264-9381 25, 114041 (2008). 10.1088/0264-9381/25/11/114041
23. F. Acernese, Classical Quantum Gravity CQGRDG 0264-9381 25, 184001 (2008). 10.1088/0264-9381/25/18/184001
24. The proposal for Advanced LIGO is available online at http://www.ligo.caltech.edu/advLIGO/.
25. R. O'Shaughnessy, Astrophys. J. 633, 1076 (2005). ASJOAB 0004-637X 10.1086/468180
26. P. Ajith, Phys. Rev. D PRVDAQ 1550-7998 77, 104017 (2008). 10.1103/PhysRevD.77.104017
27. H. Grote, Classical Quantum Gravity CQGRDG 0264-9381 25, 114043 (2008). 10.1088/0264-9381/25/11/114043
28. R. Takahashi, Classical Quantum Gravity CQGRDG 0264-9381 25, 114036 (2008). 10.1088/0264-9381/25/11/114036
29. D.E. Holz and S.A. Hughes, Astrophys. J. 629, 15 (2005). ASJOAB 0004-637X 10.1086/431341
30. B.F. Schutz, Nature (London) 323, 310 (1986). NATUAS 0028-0836 10.1038/323310a0
31. D.E. Holz and S.A. Hughes, Astrophys. J. ASJOAB 0004-637X 629, 15 (2005). 10.1086/431341
32. K.G. Arun, Phys. Rev. D PRVDAQ 1550-7998 76, 104016 (2007). 10.1103/PhysRevD.76.104016
33. K.G. Arun, B.R. Iyer, M.S.S. Qusailah, and B.S. Sathyaprakash, Classical Quantum Gravity CQGRDG 0264-9381 23, L37 (2006). 10.1088/0264-9381/23/9/L01
34. K.G. Arun, B.R. Iyer, M.S.S. Qusailah, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 1550-7998 74, 024006 (2006). 10.1103/PhysRevD.74.024006
35. F.D. Ryan, Phys. Rev. D PRVDAQ 0556-2821 52, 5707 (1995). 10.1103/PhysRevD.52.5707
36. C. Cutler and E.E. Flanagan, Phys. Rev. D PRVDAQ 0556-2821 49, 2658 (1994). 10.1103/PhysRevD.49.2658
37. R. Balasubramanian, B.S. Sathyaprakash, and S.V. Dhurandhar, Pramana 45, L463 (1995). PRAMCI 0304-4289 10.1007/BF02875180
38. R. Balasubramanian, B.S. Sathyaprakash, and S.V. Dhurandhar, Phys. Rev. D PRVDAQ 0556-2821 53, 3033 (1996). 10.1103/PhysRevD.53.3033
39. R. Balasubramanian and S.V. Dhurandhar, Phys. Rev. D PRVDAQ 0556-2821 57, 3408 (1998). 10.1103/PhysRevD.57.3408
40. D. Nicholson and A. Vecchio, Phys. Rev. D PRVDAQ 0556-2821 57, 4588 (1998). 10.1103/PhysRevD.57.4588
41. P. Jaranowski, A. Krolak, K.D. Kokkotas, and G. Tsegas, Classical Quantum Gravity CQGRDG 0264-9381 13, 1279 (1996). 10.1088/0264-9381/13/6/004
42. E. Poisson and C.M. Will, Phys. Rev. D PRVDAQ 0556-2821 52, 848 (1995). 10.1103/PhysRevD.52.848
43. K.G. Arun, B.R. Iyer, B.S. Sathyaprakash, and P.A. Sundararajan, Phys. Rev. D PRVDAQ 1550-7998 71, 084008 (2005). 10.1103/PhysRevD.71.084008
44. D. Markovic, Phys. Rev. D PRVDAQ 0556-2821 48, 4738 (1993). 10.1103/PhysRevD.48.4738
45. M. Luna and A.M. Sintes, Classical Quantum Gravity CQGRDG 0264-9381 23, 3763 (2006). 10.1088/0264-9381/23/11/006
46. P. Ajith, Classical Quantum Gravity CQGRDG 0264-9381 24, S689 (2007). 10.1088/0264-9381/24/19/S31
47. P. Ajith, Classical Quantum Gravity CQGRDG 0264-9381 25, 114033 (2008). 10.1088/0264-9381/25/11/114033
48. A. Buonanno, Phys. Rev. D PRVDAQ 1550-7998 76, 104049 (2007). 10.1103/PhysRevD.76.104049
49. Y. Pan, Phys. Rev. D PRVDAQ 1550-7998 77, 024014 (2008). 10.1103/PhysRevD.77.024014
50. T. Damour, Phys. Rev. D PRVDAQ 1550-7998 77, 084017 (2008). 10.1103/PhysRevD.77.084017
51. T. Damour and A. Nagar, Phys. Rev. D PRVDAQ 1550-7998 77, 024043 (2008). 10.1103/PhysRevD.77.024043
52. T. Damour, Phys. Rev. D PRVDAQ 1550-7998 78, 044039 (2008). 10.1103/PhysRevD.78.044039
53. B. Sathyaprakash (private communication).
54. P. Ajith (unpublished).
55. C.W. Helstrom, Elements of Signal Detection and Estimation (Prentice-Hall, Upper Saddle River, New Jersey, 1995), ISBN 0-13-808940-X.
56. H. Cramer, Mathematical Methods in Statistics (Pergamon Press, Princeton University Press, New Jersey, 1946).
57. C. Rao, Bull. Calcutta Math. Soc. BCMSA5 0008-0659 37, 81 (1945).
58. M. Vallisneri, Phys. Rev. D PRVDAQ 1550-7998 77, 042001 (2008). 10.1103/PhysRevD.77.042001
59. E. Berti, A. Buonanno, and C.M. Will, Phys. Rev. D PRVDAQ 1550-7998 71, 084025 (2005). 10.1103/PhysRevD.71.084025
60. A. Vecchio, Phys. Rev. D PRVDAQ 1550-7998 70, 042001 (2004). 10.1103/PhysRevD.70.042001
61. R.N. Lang and S.A. Hughes, Phys. Rev. D PRVDAQ 1550-7998 74, 122001 (2006). 10.1103/PhysRevD.74.122001
62. C. Van Den Broeck and A.S. Sengupta, Classical Quantum Gravity CQGRDG 0264-9381 24, 1089 (2007). 10.1088/0264-9381/24/5/005
63. T.A. Moore and R.W. Hellings, Phys. Rev. D PRVDAQ 0556-2821 65, 062001 (2002). 10.1103/PhysRevD.65.062001
64. A.M. Sintes and A. Vecchio, arXiv:gr-qc/0005058.
65. M. Trias and A.M. Sintes, Classical Quantum Gravity CQGRDG 0264-9381 25, 184032 (2008). 10.1088/0264-9381/25/18/184032
66. E.K. Porter and N.J. Cornish, Phys. Rev. D PRVDAQ 1550-7998 78, 064005 (2008). 10.1103/PhysRevD.78.064005
67. T. Cokelaer, Phys. Rev. D PRVDAQ 1550-7998 76, 102004 (2007). 10.1103/PhysRevD.76.102004
68. B. Schutz, in The Detection of Gravitational Waves, edited by, D. Blair, (Cambridge University Press, Cambridge, England, 1991), pp. 406-452.
69. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes 3rd Edition: The Art of Scientific Computing (Cambridge University Press, Cambridge, England, 2007).
70. C. Cutler, Phys. Rev. D PRVDAQ 0556-2821 57, 7089 (1998). 10.1103/PhysRevD.57.7089
71. A. Rogan and S. Bose, arXiv:astro-ph/0605034.
72. LSC Algorithms Library, http://www.lsc-group.phys.uwm.edu/daswg/projects/ lal.html.
73. T. Damour, B.R. Iyer, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 0556-2821 63, 044023 (2001); 10.1103/PhysRevD.63.044023
74. T. Damour B.R. Iyer B.S. Sathyaprakash Phys. Rev. D PRVDAQ 1550-7998 72, 029902 (2005). 10.1103/PhysRevD.72.029902
75. R. Adhikari (private communication).
76. G. Losurdo (private communication).
77. B.S. Sathyaprakash and S.V. Dhurandhar, Phys. Rev. D PRVDAQ 0556-2821 44, 3819 (1991). 10.1103/PhysRevD.44.3819
78. B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 0556-2821 50, R7111 (1994). 10.1103/PhysRevD.50.R7111
79. C. Röver, R. Meyer, and N. Christensen, Classical Quantum Gravity 23, 4895 (2006). CQGRDG 0264-9381 10.1088/0264-9381/23/15/009
80. M.V. van der Sluys, arXiv:0710.1897.
81. V. Raymond, arXiv:0812.4302.
82. M. van der Sluys, Classical Quantum Gravity CQGRDG 0264-9381 25, 184011 (2008). 10.1088/0264-9381/25/18/184011
83. T. Cokelaer, Classical Quantum Gravity 25, 184007 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/18/184007
84. J. Nelder and R. Mead, Computer Journal (UK) CMPJA6 0010-4620 7, 308 (1965).
85. S. Bose, A. Pai, and S.V. Dhurandhar, Int. J. Mod. Phys. D 9, 325 (2000). IMPDEO 0218-2718 10.1142/S0218271800000360
86. A. Pai, S. Dhurandhar, and S. Bose, Phys. Rev. D PRVDAQ 0556-2821 64, 042004 (2001). 10.1103/PhysRevD.64.042004
87. B.J. Owen, Phys. Rev. D PRVDAQ 0556-2821 53, 6749 (1996). 10.1103/PhysRevD.53.6749
88. P. Ajith and S. Bose (unpublished).