The Euclidean distribution of Fast Radio Bursts
Abstract
We investigate whether current data on the distribution of observed flux densities of Fast Radio Bursts (FRBs) are consistent with a constant source density in Euclidean space. We use the number of FRBs detected in two surveys with different characteristics along with the observed signal-to-noise ratios of the detected FRBs in a formalism similar to a V/V_max-test to constrain the distribution of flux densities. We find consistency between the data and a Euclidean distribution. Any extension of this model is therefore not data-driven and needs to be motivated separately. As a byproduct we also obtain new improved limits for the FRB rate at 1.4 GHz, which had not been constrained in this way before.
Cite
@article{arxiv.1604.03909,
title = {The Euclidean distribution of Fast Radio Bursts},
author = {Niels Oppermann and Liam Connor and Ue-Li Pen},
journal= {arXiv preprint arXiv:1604.03909},
year = {2016}
}
Comments
five short pages; numbers slightly changed w.r.t. original version due to coding mistake, conclusions unchanged