2017/01/14 by K. Haris, Vinaya Valsan, V. Valsan +4
Earth and Planetary Sciences · Physics and Astronomy · #Pulsars and Gravitational Waves Research #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #astro-ph.IM #gr-qc
paper · pdf · doi:10.48550/arxiv.1701.03952
22 pages, 8 figures
arxiv created 2017/11/15 · arxiv updated 2017/11/17
In this paper we compare the performance of two likelihood ratio based detection statistics namely maximum likelihood ratio statistic and \it hybrid statistic designed for the detection of gravitational waves from compact binary coalescence using multiple interferometric detector networks. We perform simulations with non-spinning double neutron star binary system and neutron star-black hole binary systems with spinning as well as non-spinning black hole component masses. The binary injections are distributed uniformly in volume up to 1 Gpc. We observe that, on average, the maximum likelihood ratio statistic recovers ∼ 34.45%, ∼ 49.69%, ∼ 61.25% and ∼ 69.67% of injections in 2, 3, 4 and 5 detector networks respectively in the case of neutron star-black hole injections for a fixed false alarm probability of 10-7 in Gaussian noise. Further, we note that, compared to the maximum likelihood ratio statistic, the \it hybrid statistic recovers ∼ 7.45%, ∼ 4.57%, ∼ 2.56% and ∼ 1.22% more injections in 2, 3, 4 and 5 detector networks respectively for the same false alarm probability in Gaussian noise. On the other hand, among binary neutron star injections, the maximum likelihood ratio statistic recovers ∼ 5.587%, ∼ 9.917%, ∼ 14.73% and ∼ 19.86% of injections in 2, 3, 4 and 5 detector networks respectively and the \it hybrid statistic recovers ∼ 14.63%, ∼ 12.91%, ∼ 11.49% and ∼ 10.29% more injections compared to maximum likelihood ratio statistic in 2, 3, 4 and 5 detector networks respectively.