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We present several estimates of the rate of simultaneous detection of themerging of a binary system of neutron stars in the electromagnetic and thegravitational wave domains, assuming that they produce short GRBs. We havebased our estimations on a carefully selected sample of short gamma-ray bursts,corrected from redshift effects. The results presented in this paper are basedon actual observation only. In the electromagnetic spectrum, we consideredobservations by current (Swift and Fermi}) and future (LOFT and SVOM) missions.In the gravitational wave domain, we consider detections by the Advanced Virgoinstrument alone and the network of both Advanced LIGO and Advanced Virgo. Wediscuss on the possible biases present in our sample, and how to fix them. Forpresent missions, assuming a detection in the following years, we find that weshould observe simultaneously between 0.11 and 4.2 gravitational wave eventsper year with Swift} and Fermi} respectively. For future projects (LOFT andSVOM) we can expect less than one common detection per year. We check theconsistency of our results with several previously published rate of detectionof gravitational waves.

Simultaneous event detection rates by electromagnetic and gravitational wave detectors in the Advanced Era of LIGO and Virgo