Time Dependent Clustering Analysis of the Second BATSE Gamma-Ray Burst Catalog

A time dependent two-point correlation-function analysis of the BATSE 2B catalog nds no evidence of burst repetition. As part of this analysis, we discuss the e ects of sky exposure on the observability of burst repetition and present the equation describing the signature of burst repetition in the data. For a model of all burst repetition from a source occurring in less than ve days we derive upper limits on the number of bursts in the catalog from repeaters and model-dependent upper limits on the fraction of burst sources that produce multiple outbursts. Subject Headings: Gamma-Rays: Bursts * Mailing address: Space Sciences Lab, ES-84, NASA/Marshall Space Flight Center, Huntsville, AL 35812; E-Mail: [email protected]