Astron. Astrophys. Suppl. Ser. 138, 469-470
C. Graziani - D.Q. Lamb - G.H. Marion
Department of Astronomy and Astrophysics, University
of Chicago, 5640 South Ellis Avenue, Chicago, IL 60637, U.S.A.
Received December 29, 1998; accepted April 29, 1999
We use a rigorous method, based on Bayesian inference, for
calculating the odds favoring the hypothesis that any particular class
of astronomical transients produce gamma-ray bursts over the hypothesis
that they do not. We then apply this method to a sample of 83 Type Ia
supernovae and a sample of 20 Type Ib-Ic supernovae. We find
overwhelming odds against the hypothesis that all Type Ia supernovae
produce gamma-ray bursts, whether at
low redshift (109:1) or
high-redshift (1012:1), and very large odds (6000:1) against the
hypothesis that all Type Ib, Ib/c, and Ic supernovae produce observable
gamma-ray bursts. We find large odds (34:1) against the hypothesis
that a fraction of Type Ia supernovae produce observable gamma-ray
bursts, and moderate odds (6:1) against the hypothesis that a
fraction of Type Ib-Ic supernovae produce observable bursts.
Key words: gamma-rays: bursts -- stars: supernovae,
general
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