Astronomy and Astrophysics – Astrophysics
Scientific paper
1995-12-19
Astronomy and Astrophysics
Astrophysics
5 pages, Latex using aps macros including one figure. Also available at ftp://shemesh.fiz.huji.ac.il or at http://shemesh.fi
Scientific paper
10.1063/1.51560
The analysis of the BATSE's count distribution within cosmological models suffers from observational uncertainties due to the variability of the bursts' spectra: when BATSE observes bursts from different redshifts at a fixed energy band it detects photons from different energy bands at the source. This adds a spectral dependence to the count distribution $N(C)$. Similarly variation of the duration as a function of energy at the source complicates the time dilation analysis. We describe here a new statistical formalism that performs the required ``blue shifting" of the count number and the burst duration in a statistical manner. This formalism allows us to perform a combined best fit (maximal likelihood) to the count distribution, $N(C)$, and the duration distribution simultaneously. The outcome of this analysis is a single best fit value for the redshift of the observed bursts.
Cohen Ehud
Piran Tsvi
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