  Random fluctuations of the shot-noise power in disordered graphene
nanoribbons are studied. In particular, we calculate the distribution of the
shot noise of nanoribbons with zigzag and armchair edge terminations. We show
that the shot noise statistics is different for each type of these two graphene
structures, which is a consequence of presence of different electron
localizations: while in zigzag nanoribbons electronic edge states are Anderson
localized, in armchair nanoribbons edge states are absent, but electrons are
anomalously localized. Our analytical results are verified by tight binding
numerical simulations with random hopping elements, i.e., off diagonal
disorder, which preserves the symmetry of the graphene sublattices.
