The Distribution Of Cosmological $\gamma$-ray Bursts

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 $\text{O}$ and $\mathrm{\Lambda }$. The bursts are not necessarily standard candles and their luminosity can vary by up to a factor of ten. The maximal red shift, $\text{zm}$, of bursts longer than 2 sec is $2.1_{-.7}^{+1.}$ (assuming no evolution). The present data is insufficient to determine maximal red shift, $\text{zm}$, of bursts shorter than 2 sec.