The frequency of weak gamma-ray bursts
A search for weak gamma-ray bursts was conducted using a sensitive balloon-borne detector. One burst was detected in 64 hr of observation. The upper limit to the burst rate is 2300 bursts/yr above 6 x 10 to the -7th ergs/sq cm for simple spatial distribution models. Comparison with satellite results indicates that the slope of the log N-log S curve can be no steeper than -1 between 10 to the -4th and 10 to the -6th ergs/sq cm. A detailed procedure for calculating detector sensitivity to bursts is provided.