### Abstract

We reconstruct posterior distributions for the position (sky area and distance) of a simulated set of binary neutron star gravitational-waves signals observed with Advanced LIGO and Advanced Virgo. We use a Dirichlet process Gaussian-mixture model, a fully Bayesian nonparametric method that can be used to estimate probability density functions with a flexible set of assumptions. The ability to reliably reconstruct the source position is important for multimessenger astronomy, as recently demonstrated with GW170817. We show that for detector networks comparable to the early operation of Advanced LIGO and Advanced Virgo, typical localization volumes are ~10
^{4}-10
^{5}~Mpc
^{3} corresponding to ~10
^{2}-10
^{3} potential host galaxies. The localization volume is a strong function of the network signal-to-noise ratio, scaling roughly α ρ(variant)
^{-6}
_{net}. Fractional localizations improve with the addition of further detectors to the network. Our Dirichlet process Gaussian-mixture model can be adopted for localizing events detected during future gravitational-wave observing runs and used to facilitate prompt multimessenger follow-up.

Original language | English |
---|---|

Pages (from-to) | 601-614 |

Number of pages | 14 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 479 |

Issue number | 1 |

Early online date | 6 Jun 2018 |

DOIs | |

Publication status | Published - 1 Sep 2018 |

### Fingerprint

### Keywords

- Gamma-ray burst: general
- Gravitational waves
- Methods: data analysis
- Methods: statistical
- Stars: neutron

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Monthly Notices of the Royal Astronomical Society*,

*479*(1), 601-614. https://doi.org/10.1093/mnras/sty1485

**Dirichlet Process Gaussian-mixture model: An application to localizing coalescing binary neutron stars with gravitational-wave observations.** / Pozzo, W. Del; Berry, C. P. L.; Ghosh, Archisman; Haines, Tom S. F.; Vecchio, A.

Research output: Contribution to journal › Article

*Monthly Notices of the Royal Astronomical Society*, vol. 479, no. 1, pp. 601-614. https://doi.org/10.1093/mnras/sty1485

}

TY - JOUR

T1 - Dirichlet Process Gaussian-mixture model: An application to localizing coalescing binary neutron stars with gravitational-wave observations

AU - Pozzo, W. Del

AU - Berry, C. P. L.

AU - Ghosh, Archisman

AU - Haines, Tom S. F.

AU - Vecchio, A.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - We reconstruct posterior distributions for the position (sky area and distance) of a simulated set of binary neutron star gravitational-waves signals observed with Advanced LIGO and Advanced Virgo. We use a Dirichlet process Gaussian-mixture model, a fully Bayesian nonparametric method that can be used to estimate probability density functions with a flexible set of assumptions. The ability to reliably reconstruct the source position is important for multimessenger astronomy, as recently demonstrated with GW170817. We show that for detector networks comparable to the early operation of Advanced LIGO and Advanced Virgo, typical localization volumes are ~10 4-10 5~Mpc 3 corresponding to ~10 2-10 3 potential host galaxies. The localization volume is a strong function of the network signal-to-noise ratio, scaling roughly α ρ(variant) -6 net. Fractional localizations improve with the addition of further detectors to the network. Our Dirichlet process Gaussian-mixture model can be adopted for localizing events detected during future gravitational-wave observing runs and used to facilitate prompt multimessenger follow-up.

AB - We reconstruct posterior distributions for the position (sky area and distance) of a simulated set of binary neutron star gravitational-waves signals observed with Advanced LIGO and Advanced Virgo. We use a Dirichlet process Gaussian-mixture model, a fully Bayesian nonparametric method that can be used to estimate probability density functions with a flexible set of assumptions. The ability to reliably reconstruct the source position is important for multimessenger astronomy, as recently demonstrated with GW170817. We show that for detector networks comparable to the early operation of Advanced LIGO and Advanced Virgo, typical localization volumes are ~10 4-10 5~Mpc 3 corresponding to ~10 2-10 3 potential host galaxies. The localization volume is a strong function of the network signal-to-noise ratio, scaling roughly α ρ(variant) -6 net. Fractional localizations improve with the addition of further detectors to the network. Our Dirichlet process Gaussian-mixture model can be adopted for localizing events detected during future gravitational-wave observing runs and used to facilitate prompt multimessenger follow-up.

KW - Gamma-ray burst: general

KW - Gravitational waves

KW - Methods: data analysis

KW - Methods: statistical

KW - Stars: neutron

UR - http://www.scopus.com/inward/record.url?scp=85051473444&partnerID=8YFLogxK

U2 - 10.1093/mnras/sty1485

DO - 10.1093/mnras/sty1485

M3 - Article

VL - 479

SP - 601

EP - 614

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 1

ER -