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  Marginalizing the likelihood function for modeled gravitational wave searches

Dhurandhar, S., Krishnan, B., & Willis, J. L. (in preparation). Marginalizing the likelihood function for modeled gravitational wave searches.

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1707.08163.pdf (Preprint), 316KB
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1707.08163.pdf
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 Creators:
Dhurandhar, Sanjeev1, Author
Krishnan, Badri1, Author           
Willis, Joshua L., Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Matched filtering is a commonly used technique in gravitational wave searches for signals from compact binary systems and from rapidly rotating neutron stars. A common issue in these searches is dealing with four extrinsic parameters which do not affect the phase evolution of the system: the overall amplitude, initial phase, and two angles determining the overall orientation of the system. The F-statistic maximizes the likelihood function analytically over these parameters, while the B-statistic marginalizes over them. The B-statistic, while potentially more powerful and capable of incorporating astrophysical priors, is not as widely used because of the computational difficulty of performing the marginalization. In this paper we address this difficulty and show how the marginalization can be done analytically by combining the four parameters into a set of complex amplitudes. The results of this paper are applicable to both transient non-precessing binary coalescence events, and to long lived signals from rapidly rotating neutron stars.

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 Dates: 2017-07-25
 Publication Status: Not specified
 Pages: 26 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1707.08163
URI: http://arxiv.org/abs/1707.08163
 Degree: -

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