  Presently only 30% of short gamma ray bursts (SGRBs) have accurate redshifts,
and this sample is highly biased by the limited sensitivity of {\it Swift} to
detect SGRBs. We account for the dominant biases to calculate a realistic SGRB
rate density out to $z = 0.5$ using the {\it Swift} sample of peak fluxes,
redshifts, and those SGRBs with a beaming angle constraint from X-ray/optical
observations. Assuming a significant fraction of binary neutron star mergers
produce SGRBs, we calculate lower and upper detection rate limits of (1-180)
per Yr by an advanced LIGO and Virgo coincidence search. Our detection rate is
compatible with extrapolations using Galactic pulsar observations and
population synthesis.
