%0 Journal Article %T The Distribution Of Cosmological $¦Ã$-ray Bursts %A Ehud Cohen %A Tsvi Piran %J Physics %D 1995 %I arXiv %R 10.1086/187851 %X We compare the burst distribution of the new (2B) BATSE catalogue to a cosmological distribution. The observed distribution agrees well with a cosmological one, however, it is insensitive to cosmological parameters such as $\O$ and $\Lambda$. The bursts are not necessarily standard candles and their luminosity can vary by up to a factor of ten. The maximal red shift, $\zm$, of bursts longer than 2 sec is $2.1^{+1.}_{-.7}$ (assuming no evolution). The present data is insufficient to determine maximal red shift, $\zm$, of bursts shorter than 2 sec. %U http://arxiv.org/abs/astro-ph/9502001v1