Abstract
In this work, we revisit our earlier attempt to quantify the intrinsic
luminosity function $N(L)dL$ of Gamma Ray Bursts (GRBs) using observational
constraints on the distribution of intrinsic luminosities. In our earlier work,
the median luminosity $L_median(z)$ was calculated, as a function of
redshift, of beamed, identical, detectable sources of known redshifts, and
compared with the luminosities of nearby GRBs of known redshift. In this paper,
we constrain $N(L)dL$ from the observed flux distribution $N(F)dF$ by
calculating the expected $N(F)$ from a sample of GRBs with unknown
redshift. We compare our theoretical expectations from a physical model with
Fermi GBM data and thus constrain the angular emission profile of the GRBs. We
find that at wide angles, $N(L)$ is consistent with having a subluminous
component, but that it is inconsistent with purely on-axis viewing.
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