2022
DOI: 10.48550/arxiv.2206.09984
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Uncertainty and bias of cosmology and astrophysical population model from statistical dark sirens

Abstract: Gravitational-wave (GW) radiation from a coalescing compact binary is a standard siren as the luminosity distance of each event can be directly measured from the amplitude of the signal. One possibility to constrain cosmology using the GW siren is to perform statistical inference on a population of binary black hole (BBH) events. In essence, this statistical method can be viewed as follows. We can modify the shape of the distribution of observed BBH events by changing cosmological parameters until it eventuall… Show more

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“…In order to give forecasts to what precision the binary parameters can be constrained from the FRB timing, we use the Fisher information matrix, which we will derive following [82]. We first divide the whole observation time span into small bins with equal width ∆t, and the number of FRBs arriving in the i'th bin n i follows the Poisson distribution,…”
Section: Fisher Forecastmentioning
confidence: 99%
“…In order to give forecasts to what precision the binary parameters can be constrained from the FRB timing, we use the Fisher information matrix, which we will derive following [82]. We first divide the whole observation time span into small bins with equal width ∆t, and the number of FRBs arriving in the i'th bin n i follows the Poisson distribution,…”
Section: Fisher Forecastmentioning
confidence: 99%