We present several estimates of the rate of simultaneous detection of the
merging of a binary system of neutron stars in the electromagnetic and the
gravitational wave domains, assuming that they produce short GRBs. We have
based our estimations on a carefully selected sample of short gamma-ray bursts,
corrected from redshift effects. The results presented in this paper are based
on actual observation only. In the electromagnetic spectrum, we considered
observations by current (Swift and Fermi}) and future (LOFT and SVOM) missions.
In the gravitational wave domain, we consider detections by the Advanced Virgo
instrument alone and the network of both Advanced LIGO and Advanced Virgo. We
discuss on the possible biases present in our sample, and how to fix them. For
present missions, assuming a detection in the following years, we find that we
should observe simultaneously between 0.11 and 4.2 gravitational wave events
per year with Swift} and Fermi} respectively. For future projects (LOFT and
SVOM) we can expect less than one common detection per year. We check the
consistency of our results with several previously published rate of detection
of gravitational waves.Comment: 7 pages, accepted for publication in MNRAS, with note added in proof
correcting the rates for Fermi/SVOM experiment. Added tables 5 and 6 that are
corrected and replace tables 2 and