Characterization of non-Gaussian stochastic signals with heavier-tailed likelihoods

Fuente: arXiv
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Autori principali: Karnesis, Nikolaos, Sasli, Argyro, Buscicchio, Riccardo, Stergioulas, Nikolaos
Natura: Preprint
Pubblicazione: 2024
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author Karnesis, Nikolaos
Sasli, Argyro
Buscicchio, Riccardo
Stergioulas, Nikolaos
author_facet Karnesis, Nikolaos
Sasli, Argyro
Buscicchio, Riccardo
Stergioulas, Nikolaos
contents Future Gravitational Wave observatories will give us the opportunity to search for stochastic signals of astrophysical, or even cosmological origins. However, parameter estimation and search will be challenging, mostly due to the overlap of multiple signal components, as well as the potentially partially unknown properties of the instrumental noise. In this work, we propose a robust statistical framework based on heavier-tailed likelihoods for the characterization of stochastic gravitational-wave signals. In particular, we use the symmetric hyperbolic likelihood, which allows us to probe the signal spectral properties and simultaneously test for any departures from Gaussianity. We demonstrate this methodology with synthetic data from the future LISA mission, where we estimate the potential non-Gaussianities induced by the unresolved Ultra Compact Galactic Binaries.
format Preprint
id arxiv_https___arxiv_org_abs_2410_14354
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Characterization of non-Gaussian stochastic signals with heavier-tailed likelihoods
Karnesis, Nikolaos
Sasli, Argyro
Buscicchio, Riccardo
Stergioulas, Nikolaos
General Relativity and Quantum Cosmology
Instrumentation and Methods for Astrophysics
Future Gravitational Wave observatories will give us the opportunity to search for stochastic signals of astrophysical, or even cosmological origins. However, parameter estimation and search will be challenging, mostly due to the overlap of multiple signal components, as well as the potentially partially unknown properties of the instrumental noise. In this work, we propose a robust statistical framework based on heavier-tailed likelihoods for the characterization of stochastic gravitational-wave signals. In particular, we use the symmetric hyperbolic likelihood, which allows us to probe the signal spectral properties and simultaneously test for any departures from Gaussianity. We demonstrate this methodology with synthetic data from the future LISA mission, where we estimate the potential non-Gaussianities induced by the unresolved Ultra Compact Galactic Binaries.
title Characterization of non-Gaussian stochastic signals with heavier-tailed likelihoods
topic General Relativity and Quantum Cosmology
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2410.14354