Gamma-ray bursts are short but powerful pulses of electromagnetic radi
ation coming from space. Specially equipped satellites have observed t
he arrival of several hundred bursts during the past two decades. The
origin of these bursts, whether from near the earth, across the galaxy
, or out of the deep cosmos, has become a major question for astronome
rs. At the heart of this question lies a statistical puzzle relating t
o familiar issues in survival analysis: Kaplan-Meier-type curves, data
truncation, hazard rate analysis, Mantel-Haenszel statistics, and so
on. Survival analysis is used here to critically examine two different
models that have been proposed for the gamma-ray burst data. The anal
ysis contradicts one of these models.