A Statistical Treatment of the Gamma-Ray Burst "No Host Object" Issue

Various burst origin scenarios require a host object in the burst error box or near a well-located position. For example, a host galaxy should be present in the standard cosmological models. We present a methodology which evaluates whether the observed detections and nondetections of potential host objects in burst error boxes are consistent with the presence of the host, or whether all the detections can be attributed to background objects (e.g., unrelated background galaxies). The host object's flux distribution must be modeled. Preliminary results are presented for the ``minimal'' cosmological model.